MCQ Questions for Class 10 Maths: Ch 2 Polynomials

MCQ Questions for Class 10 Maths: Ch 2 Polynomials

1. If the zeroes of the quadratic polynomial x² + (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 x² + 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 x² + 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 x² + 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

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 x² + 3x + k is 2, then the value of k is

(a) 10

(b) -10

(c) 5

(d) -5
► (b) -10

7. If 5 is a zero of the quadratic polynomial, x² - kx - 15 then the value of k is

(a) 2

(b) -2

(c) 4

(d) - 4

► (a) 2

8. If α and β are the zeroes of the polynomial 5x² – 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) x² + 4x + 12

(b) x² – 4x – 12

(c) x² + 4x – 12

(d) x² – 4x + 12
► (c) x² + 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 x²−6x+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

13. If one of the zeroes of the cubic polynomial x³ + ax² + 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

14. The zeroes of the quadratic polynomial x² + 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

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 3x² – 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 Ax² + 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 x² + 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 x² +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