## MCQ Questions for Class 10 Maths: Ch 2 Polynomials

1. If the zeroes of the quadratic polynomial x

(a) a = -7, b = -1

(b) a = 5, b = -1

(c) a = 2, b = -6

(d) a – 0, b = -6

► (d) a – 0, b = -6

2. The zeroes of the quadratic polynomial x

(a) both positive

(b) both negative

(c) one positive and one negative

(d) both equal

► (b) both negative

3. The zeroes of the quadratic polynomial x

(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

► (a) both negative

^{2}+ (a + 1) x + b are 2 and -3, then(a) a = -7, b = -1

(b) a = 5, b = -1

(c) a = 2, b = -6

(d) a – 0, b = -6

► (d) a – 0, b = -6

2. The zeroes of the quadratic polynomial x

^{2}+ 99x + 127 are(a) both positive

(b) both negative

(c) one positive and one negative

(d) both equal

► (b) both negative

3. The zeroes of the quadratic polynomial x

^{2}+ 1750x + 175000 are(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

► (a) both negative

4. The zeroes of the quadratic polynomial x

^{2}+ px + p, p ≠ 0 are
(a) both equal

(b) both cannot be positive

(c) both unequal

(d) both cannot be negative

► (b) both cannot be positive

► (b) both cannot be positive

5. The number of polynomials having zeroes as -2 and 5 is

(a) 1

(b) 2

(c) 3

(d) more than 3

► (d) more than 3

6. If one zero of the quadratic polynomial x

^{2}+ 3x + k is 2, then the value of k is
(a) 10

(b) -10

(c) 5

(d) -5

► (b) -10

► (b) -10

7. If 5 is a zero of the quadratic polynomial, x

^{2}- kx - 15 then the value of k is
(a) 2

(b) -2

(c) 4

(d) - 4

► (a) 2

8. If Î± and Î² are the zeroes of the polynomial 5x

^{2}– 7x + 2, then sum of their reciprocals is:
(a) 14/25

(b) 7/5

(c) 2/5

(d) 7/2

► (d) 7/2

9. Find the quadratic polynomial whose zeros are 2 and -6

(a) x

^{2}+ 4x + 12
(b) x

^{2}– 4x – 12
(c) x

^{2}+ 4x – 12
(d) x

► (c) x

^{2}– 4x + 12► (c) x

^{2}+ 4x – 12
10. If the point (5,0), (0-2) and (3,6) lie on the graph of a polynomial. Then which of the following is a zero of the polynomial?

(a) 5

(b) 6

(c) not defined

(d) -2

► (a) 5

11. The number of zeros of a cubic polynomial is

(a) 3

(b) at least 3

(c) 2

(d) at most 3

► (d) at most 3

12. The sum and product of the zeroes of the polynomial x

^{2}−6x+8 are respectively
(a) -3/2 and – 1

(b) 6 and 8

(c) -3/2 and 1

(d) 3/2 and 1

► (b) 6 and 8

► (b) 6 and 8

13. If one of the zeroes of the cubic polynomial x

^{3}+ ax^{2}+ bx + c is -1, then the product of the
other two zeroes is

(a) b – a + 1

(b) b – a – 1

(c) a – b + 1

(d) a – b – 1

► (a) b – a + 1

► (a) b – a + 1

14. The zeroes of the quadratic polynomial x

^{2}+ kx + k, k? 0,
(a) cannot both be positive

(b) cannot both be negative

(c) are always unequal

(d) are always equal

► (a) cannot both be positive

► (a) cannot both be positive

15. The number of polynomials having zeroes as 4 and 7 is

(a) 2

(b) 3

(c) 4

(d) more than 4

► (d) more than 4

16. The zeroes of the quadratic polynomial 3x

(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

► (b) one positive and one negative

^{2}– 48 are(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

► (b) one positive and one negative

17. If the zeroes of the quadratic polynomial Ax

^{2}+ Bx + C, C # 0 are equal, then
(a) A and B have the same sign

(b) A and C have the same sign

(c) B and C have the same sign

(d) A and C have opposite signs

► (b) A and C have the same sign

18. If x = 2 and x = 3 are zeros of the quadratic polynomial x

(a) 5, 6

(b) - 5, - 6

(c) - 5, 6

(d) 5, - 6

►(c) - 5, 6

19. The graph of the polynomial f(x) = 2x – 5 intersects the x – axis at

(a) (5/2, 0)

(b) (-5/2, 0)

(c) (-5/2, 5/2)

(d) (5/2, -5/2)

► (a) (5/2, 0)

► (b) A and C have the same sign

18. If x = 2 and x = 3 are zeros of the quadratic polynomial x

^{2}+ ax + b, the values of a and b respectively are :(a) 5, 6

(b) - 5, - 6

(c) - 5, 6

(d) 5, - 6

►(c) - 5, 6

19. The graph of the polynomial f(x) = 2x – 5 intersects the x – axis at

(a) (5/2, 0)

(b) (-5/2, 0)

(c) (-5/2, 5/2)

(d) (5/2, -5/2)

► (a) (5/2, 0)

20. Sum and the product of zeroes of the polynomial x

^{2}+7x +10 is
(a) 10/7 and -10/7

(b) 7/10 and -7/10

(c) -7 and 10

(d) 7 and -10

► (c) -7 and 10

► (c) -7 and 10