CBSE Class 10 Mathematics Polynomials Worksheet Set B

Polynomials MCQ Questions with Answers Class 10 

Polynomials MCQ Questions with Answers Class 10 

1. Find the zeroes of the following quadratic polynomials and verify the relationships between the zeroes and the coefficients of the polynomials:-

(a): p(x) = 8x² – 19x – 15; (b): q(x) = 4 √3 x² + 5x – 2 √3 ; (c): f (x) = 5x - 4 √3 + 2 √3 x².

2. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:-

(i) 2/3 , -4 (ii) - 1/√2 ,1/√2  (iii) √5 , -2 (iv) - 1/√2, 2/3

3. Verify that 3, -1 and - 1/3  are zeroes of the polynomial p(x) = 3x³– 5x² – 11x – 3. Then, verify the relationships between the zeroes and its coefficients.

4. For what value of K is 4 a zero of f(x) = x² + kx + 4?

5. Find the quotient and remainder when p(x) is divided by q(x).

(i) p(x) = 6x³ + 11x² – 39x – 65, q(x) = x² – 1 + x
(ii) p(x) = 4 + 9x² – 4x², q(x) = x + 3x² – 1
(iii) p(x) = 30x⁴ – 82x² + 11x³ + 48 – 12x, q(x) = 3x² + 2x - 4

6. What must be subtracted from 8x⁴ + 14x³ – 2x² + 7x – 8 so that the resulting polynomial is exactly divisible by 4x² + 3x – 2?

7. What must be added to 4x⁴ + 2x³ – 2x² + x – 1, so that the resulting polynomial is divisible by x² + 2x –3 ?

8. If -2 is a zero of f(x) = x³ + 13x² + 32x + 20, find its other zeroes.

9. √3 and - √3 are zeroes of f(x) = x⁴ – 3x³ – x² + 9x – 6. Find all the zeroes of p(x).

10. Obtain all zeroes of the polynomial p(x) = 2x⁴ + x³ – 14x² – 19x – 6, if two of its zeroes are -1 and -2.

11. Find all the zeroes of f(x) = 2x⁴ – 2x³ – 7x² + 3x + 6 if two of its zeroes are √3/2 and - √3/2.

12. Find all values of p and q so that 1, -2 are zeroes of the polynomial f(x) = x³ + 10x² + px + q.

13. If p(x)=2x⁴ + 3x³ - 3x² – 2x + 5 is divided by 2x² + 3x – 1,then the remainder is x – a. Find a.

14. On dividing f(x) = 2x³ – 5x² + 4x – 8 by g(x), the quotient and the remainder are (2x – 9) and 24x – 17, respectively. Find g(x).