Chapter 2 Polynomials Assertation & Reasoning Questions Class 9th Mathematics

1) Assertion: The constant  polynomial 0 is called zero polynomial.

Reason:√x+3 is a polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true the reason is false.

2) Assertion: degree of non zero constant polynomial is zero

Reason: polynomial having two terms are called binomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

3) Assertion: y²-5 is a quadratic polynomial.

Reason: degree of polynomial 2 is called quadratic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

4) Assertion: 2x-1 is the linear polynomial.

Reason: A polynomial of degree 1 is called linear polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

5) Assertion:  the degree of zero polynomial is not defined.

Reason : Each term of polynomial has coefficient.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason is correct but reason is not correct explanation for Assertion.

6) Assertion:  5t-√7  it’s degree is 1

Reason: the highest power of the varible is 1 so the degree of polynomial is 1.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

7) Assertion:  a polynomial can have more than one zero.

Reason: every real number is zero of zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

8) Assertion : 2a²+5 value of polynomial at a= 2 is 136

Reason:  p(x) x+2  is not a zero polynomial at x=-2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are false.

9) Assertion: 3x²+ x-1 = (x+1)(3x-2)+1

Reason : dividend = divisor *quotient + remainder.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

10) Assertion : x³+x  has only one real zero.

Reason: A quadratic polynomial  can have at most two zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are true but reason is not correct explanation for Assertion.

11) Assertion: Assertion : If one zero of poly-nominal p(x) = (k² + 4)x² + 13x + 4k is reciprocal of other, then k = 2.

Reason : If (x – a) is a factor of p(x), then p(a) = 0 i.e. a is a zero of p(x)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:  b) both assertion and reason are correct but reason is not correct explanation for Assertion.

12) Assertion: a quadratic polynomial can have at most two zero.

Reason: x²+7x +9 has two zero.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but the reason is false.

13) Assertion : If the product of the zeroes of the quadratic polynomial x² + 3x + 5k

is -10 then value of k is -2.

Reason : Sum of zeroes of a quadratic polynomial ax² + bx + c is –b/a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion  and reason are true but reason is not correct explanation for Assertion .

14) Assertion: The polynomial 3x⁴-4x^-3/2+x² is not a polynomial

Reason: because the power in the term 4x^3/2which is not a whole number.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

15) Assertion: a polynomial of degree 3 is called cubic polynomial.

Reason: 3z³-2z²+7z+9 is a cubic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

16) Assertion: A quadratic polynomial can have at the most two zeroes.

Reason: Sum of zeroes of a quadratic polynomial ax²+bx+c is -b/a

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is not correct explanation for Assertion.

17) Assertion: The highest power of x in the polynomial P(x) is the degree of the polynomial.

Reason: 7x⁹-5x³+4x⁵+3The degree of polynomial is 3.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

18) Assertion:  If one zero of polynomial p(x) = (k²+4)x²+13x+4k is reciprocal of the other, then k=2.

Reason: Irrational zeros  always occurs in pairs.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion .

19) Assertion: x³+x has only one real zero.

Reason: A polynomial of nth degree must have n real zeroes

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) assertion true but reason is false.

20) Assertion: If one zero of polynomial p(x) = (k2+4)x2+13x+4k is reciprocal of the other, then k=2.

Reason: If (x-a) is a factor of p(x), then p(a) = 0 i.e., a is a zero of p(x).

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b ) both assertion and reason are correct but reason is not correct explanation for Assertion.

21) Assertion: Zeroes of polynomial  p(x)=x²-3x+2 is 1

Reason:7x is the zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false

22) Assertion: In a homogeneous expression, all the terms will have same degree.

Reason :The degree of the equation, given  (x+2)(x-1)=(x+1)(x+3), is 1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and reason  are correct but reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

23) Assertion: p(x) = x⁵   degree=5

Reason: 4√t+t⁶degree is 6

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) assertion is true but reason is false.

24) Assertion: degree of p(x)= -2/7 is 0

Reason: degree of p(x)= x³y²z⁵ is 10

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

25) Assertion: The degree of the sum of two polynomials each of degree 5 is always 5.

Reason: 3x-2 is a quadratic polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d)both Assertion and reason are false.

26) Assertion: a linear polynomial has one and only one zero always.

Reason: zero of polynomial  x²-4x+3 are 1,3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are true but reason is not correct explanation for Assertion.

27) Assertion: The polynomials in which the highest power of the variable in any term is one are known as linear polynomials.

Reason: if (2x²-3x+1)(2x²+5x+1) =9x² then equation has four equal roots.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both assertion and reason are true but reason is not correct explanation for Assertion.

28) Assertion: a real number α is said to be a zero of the polynomial p(x) if  p(α)=0

Reason: The zero polynomial is the additive identity of the additive group of polynomials.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

29) Assertion: A polynomial whose coefficients are all equal to 0 is called zero polynomial.

Reason: a degree of p(x)=7xyz is 3

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is correct but reason is not correct explanation for Assertion.

30) Assertion: 2x²-5x+9 is a quadratic polynomial.

Reason: 5x+8 is  not a linear polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

31) Assertion: if a,b,c be the zero of polynomial f(x)=ax³+bx²+cx+d then sum of zeros =

 -cofficent of x²/-cofficent ofx³

Reason:(2-√3) is one zero of quadratic polynomial then other zero will be (2+√3)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

32) Assertion: Polynomial is the algebraic equation in the form of single variable.

Reason : polynomial which has three term are called trinomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason is true but reason is not correct explanation for Assertion.

33) Assertion:x²+7y is not polynomial.

Reason: the sum of several terms that contain different powers of the same variablesis known as polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion vand reason are correct and reason is the correct explanation for Assertion.

34) Assertion: p(x)=1,p(x)=5 are the zero of zero  ploynomial

Reason : all real number is the zero of zero polynomial.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct but reason is the correct explanation for Assertion.

35) Assertion: If (x-1) is the factor of 4x³+3x²-4x+k then k=-3

Reason: (x+y)² =x²+y²+2xy

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason correct but reason is not correct explanation for assertion.

36) Assertion: (3x+4y)³ =27x³+64y³+36xy(3x+4y)

Reason: (x+y)³= x³+y³+3xy(x+y)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

37) Assertion: degree of cubic polynomial is 3

Reason: degree of quadratic polynomial is 2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for Assertion.

38) Assertion: (x+1)is the linear factor of 3x²+8x+5

Reason: 3x²+8x+5 = (3x+5)(x+1)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is correct explanation for Assertion.

39) Assertion: the value of 10²-9²=19

Reason: 10²-9²=100-81=19

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for Assertion.

40) Assertion: if (x+2) is a factor of x³ -2ax²+16  the value of a is 7

Reason: if one of the factor of x²+x-20 is (x+5)and other is ( x+4)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: d) both assertion and reason are false.

41) Assertion: . If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is p-q-1.

Reason: If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is 9.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:d) both Assertion and reason are false

42) Assertion: The maximum number of zeroes that a polynomial of degree 4 can have is 4.

Reason: The graph of the polynomial p(x) = 5x – 7 is a straight line which intersects the x-axis at exactly one point  is (7/5, 0)

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason isnotcorrect explanation for Assertion.

43) Assertion: The graph of the polynomial ax² + bx + c is a downward parabola if a=0

Reason: if a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is ≤ 1

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b)both assertion and reason are correct but reason is not correct explanation for assertion.

44) Assertion: x³+0x²+0x-64 by x-4 quotient is x²+4x+16

Reason: dividend = divisor *quotient+ remainder

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans : a) both assertion and reason is the correct explanation for assertion

45) Assertion: if α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is 0

Reason: x² – 16=0

X²=16 ,x=+4,-4

4(-4)(4-4)=-16(0)=0

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And: a) both  assertion and reason are correct but reason is not correct explanation for assertion.

46) Assertion: the graph of qudratic  polynomial is parabola

Reason : if x+y=3 , x²+y^2.=5 then xy is 2

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

47) Assertion: If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it has no linear term and the constant term is positive.

Reason:. The zeroes of the quadratic polynomial x2 + 99x + 127 are both positive.

a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And. d) both assertion and reason are false.

48) Assertion:. The zeroes of the quadratic polynomial x² + 99x + 127 are more than 4.

Reason : The number of polynomials having zeroes as -2 and 5 is 1

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

And: c) assertion is true but reason is false.

49) Assertion:  if the graph of polynomial intersect the x-axis  at exactly two point then it can be cubic or qudratic polynomial.

Reason:  if y⁹⁷+97 is divided by (y+1) the remainder is 96

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:b) both assertion and reason are correct but reason is not correct explanation for Assertion

50) Assertion: The LCM of (x²+x -6) and 4(4-x )² is 4(x+3)(x+2)(x-2)

Reason: x¹⁰⁰+2x⁹⁹+k is divisible by (x+1) then the value of k is 2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: c) Assertion is true but reason is false.

51) Assertion: the factor of x⁴+4 are (x²+2x+2)(x²-2x+2)

Reason : the sum of zeroes of ax²+bx+c is -b/a

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion

52) Assertion:  the product of (4+2x)(4-2x) is 4²-(2x)²

Reason: (a+b)(a-b) = a²-b²

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans: a) both assertion and reason are correct and reason is the correct explanation for assertion

53) Assertion: the difference between the polynomial is7x-3x²+7 at x=1andx=2 is -2

Reason: if one of the zero of p(x) = 5×2+13x-m is the reciprocal of the other then the value of m is 2

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false.

Ans:c) Assertion is true but reason is false.

 54) Assertion:  a cubic polynomial x=f(y) cut Y axis at most 3points

Reason: graph of ax2+bx+c intersect x-axis at two distinct point if b²-4ac>=0

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

55) Assertion: if p(x)= 7x+7= 56 at x=7

Reason: The zeroes of a polynomial f (x) are the coordinates of the points where the graph of y f (x) intersects x-axis

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion .

56) Assertion: the value of polynomial x⁸-x⁵+x²-x+1 is positive for all real numbers

Reason : f(x) is positive f(x)>0 ,f(x) is positive for all real value x

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans : a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

57) Assertion: if a³-3a²b +3ab² is divided by a-b then the remainder is 0

Reason : a linear polynomial is always represented by straigth line.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not the correct explanation for Assertion.

58) Assertion: if a,b,c are the zeroes of x³-2x²+qx-r and a+b =0then 2q=r

Reason: if a, b, c are the zeroes of tx³+ux²+vx+w then

a+b+c=-u/t, ab+bc+ca=v/a, abc= -w/a

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

a) both Assertion and reason are correct and reason is the correct explanation for Assertion.

59) Assertion:every polynomial equation has at least one real root

Reason: graph of quadratic polynomial is an ellipse.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d)  both Assertion and reason are false.

60) Assertion: remainder is not equal to zero when the divisor is not the factor of dividend.

Reason : identity equation is valid for all the value of its variable .

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and  reason are correct but reason is not correct explanation for assertion.

61) Assertion: degree of the remainder is always smaller or less than the divisor.

Reason: if x= 0.6 then x+9x= 6

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.

62) Assertion: (x+y+z)²= x²+ y² +z²

Reason : 25+36+64= (5+6+8)²

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: d)both Assertion and reason are false.

63) Assertion: (100+4)³=1124864

Reason: (x+y)³=x³+y³+3x²y+3xy²

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

^{Ans: a) both Assertion and reason are correct and reason is the correct explanation for Assertion.}

64) Assertion: 4x²+7x+8 cofficent of the polynomial are 4,7,8

Reason : 8 is the constant term in above polynomial.

a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.

c.) assertion is true but the reason is false.

d.) both assertion and reason are false

Ans: b) both are correct but reason is not correct explanation for Assertion.