Polynomial Class 10 Important Questions | NCERT Maths Chapter-2

Polynomial Class 10 Important Questions

The start of class 10 marks the beginning of the foundation for class 11 and class 12. It is very important study the basics in order to understand each and every chapter properly. In this page, we have provided all the important question for cbse class 9 that could be asked in the examination. Students also need to study the ncert solutions for class 10 in order to gain more knowledge and understanding the lessons. Questions and Answers are way to learn the new things in a proper way. NCERT textbooks downloads for class 9 in pdf are also available for the students if they need more help. By downloading these books, they can study from it. Our experts also prepared revision notes for class 9 so that students should see the details of each and every chapters. Class 9 important questions are the best to revise all the chapters in the best way.

Question 1
Find the zeroes of the quadratic polynomial 3x² – 2 and verify the relationship between the zeroes and the coefficients.
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Question 2
On dividing x³ – 8x² + 20x -10 by a polynomial g(x), the quotient and the remainder were x – 4 and 6 respectively. Find g(x).
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Question 3

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Question 4.
Divide the polynomial x⁴ – 11 x² + 34x – 12 by x – 2 and find the quotient and the remainder. Also verify the division algorithm.

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Question 5.
An NGO decided to distribute books and pencils to the students of a school running by some other NGO. For this they collected some amount from different people. The total amount collected is represented by 4x⁴ + 2x³ – 8x² + 3x – 7.  From this fund each student received an equal amount. The number of students, who received the amount, is represented by x – 2 + 2x². After distribution, 5x -11, amount is left with the NGO which they donated to school for their infrastructure. Find the amount received by each student from the NGO. What value has been depicted here?
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Question 6.
Obtain all other zeroes of the polynomial x⁴ – 17x² – 36x – 20, if two of its zeroes are + 5 and – 2.
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Question 7.
Divide the polynomial x⁴ – 9x² + 9 by the polynomial x² -3x and verify the division algorithm.
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Question 8.
If one zero of the quadratic polynomial f(x) = 4x² – 8kx + 8x – 9 is negative of the other, then find the zeroes of kx² + 3kx + 2.
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Question 9.
If the product of zeroes of the polynomial ax² – 6x – 6 is 4, find the value of a. Find the sum of zeroes of the polynomial.
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Question 10.
Find the zeroes of the quadratic polynomial 9t²-6t + 1 and verify the relationship between the zeroes and the coefficients.
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Question 12.
When a polynomial 6x⁴ + 8x³ + 290x² + 21x + 7 is divided by another polynomial 3x² + 4x + 1 the remainder is in the form ax + b. Find a and b.
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Important Links

NCERT Quick Revision Notes- Polynomial

NCERT Solution-Polynomial

Important MCQs- Polynomial

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