Polynomial MCQ Assignments class 10 Mathematics

X Polynomial MCQ Assignments in Mathematics Class X 

1. If α,β are zeroes of the polynomial f(x) = x2 + px + q, then polynomial having 1/α and 1/β as its zeroes is

(a) x2 + qx + p (b) x2 – px + q (c) qx2 + px + 1 (d) px2 + qx + 1

2. If α and β are zeroes of x2 – 4x + 1, then 1/α + 1/β – αβ is

(a) 3 (b) 5 (c) –5 (d) –3

3. The quadratic polynomial having zeroes as 1 and –2 is :

(a) x2 – x + 2 (b) x2 – x – 2 (c) x2 + x – 2 (d) x2 + x + 2

4. If α, β are zeroes of x2 – 6x + k, what is the value of k if 3α+2β=20 ?

(a)–16 (b) 8 (c) 2 (d) –8

5. If one zero of 2x2 – 3x + k is reciprocal to the other, then the value of k is

(a) 2 (b) −23 (c) −32 (d) –3

6. The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is

(a) x2 + 3x – 2 (b) x2 – 2x + 3 (c) x2 – 3x + 2 (d) x2 – 3x – 2

7. If (x + 1) is a factor of x2 – 3ax + 3a – 7, then the value of a is :

(a)1 (b) –1 (c) 0 (d) –2

8. The number of polynomials having zeroes –2 and 5 is :

(a)1 (b) 2(c)3 (d) more than 3

9. The quadratic polynomial p(y) with –15 and–7 as sum and one of the zeroes respectively is :

(a) y2 – 15y – 56 (b) y2 – 15y + 56 (c) y2+ 15y + 56 (d) y2 + 15y – 56

10.The value of p for which the polynomial x3 + 4x2 – px + 8 is exactly divisible by (x – 2) is :

(a) 0 (b) 3 (c) 5 (d) 16

11. If 1 is a zero of the polynomial p(x) = ax2– 3(a – 1)x – 1, then the value of a is :

(a) 1 (b) –1 (c) 2 (d) –2

12. If –4 is a zero of the polynomial x2 – x – (2 + 2k), then the value of k is :

(a) 3 (b) 9 (c) 6 (d) –9

13.The degree of the polynomial (x + 1)(x2 – x – x4 + 1) is : 

 (a) 2 (b) 3 (c) 4 (d) 5

14. If (x + 1) is a factor of x2– 3ax + 3a – 7, then the value of a is :

(a) 1 (b) –1 (c) 0 (d) –2

15. If sum of the squares of zeroes of the quadratic polynomial f(x) = x2 – 8x + k is 40, the value of k is :
(a) 10 (b) 12 (c) 14 (d) 16

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