## 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 â€“ 0, b = -6
â–º (d) a â€“ 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
â–º (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
â–º (a) both negative

4. The zeroes of the quadratic polynomial x2 + px + p, p â‰  0 are
(a) both equal
(b) both cannot be positive
(c) both unequal
(d) both cannot be negative
â–º (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
â–º (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
â–º (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
â–º (a) 2

8. If Î± and Î² are the zeroes of the polynomial 5x2 â€“ 7x + 2, then sum of their reciprocals is:
(a) 14/25
(b) 7/5
(c) 2/5
(d) 7/2
â–º (d) 7/2

9. Find the quadratic polynomial whose zeros are 2 and -6
(a) x2 + 4x + 12
(b) x2 â€“ 4x â€“ 12
(c) x2 + 4x â€“ 12
(d) x2 â€“ 4x + 12
â–º (c) x2Â + 4x â€“ 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
â–º (a) 5

11. The number of zeros of a cubic polynomial is
(a) 3
(b) at least 3
(c) 2
(d) at most 3
â–º (d) at most 3

12. The sum and product of the zeroes of the polynomial x2âˆ’6x+8 are respectively
(a) -3/2 and â€“ 1
(b) 6 and 8
(c) -3/2 and 1
(d) 3/2 and 1
â–º (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 â€“ a + 1
(b) b â€“ a â€“ 1
(c) a â€“ b + 1
(d) a â€“ b â€“ 1
â–º (a) b â€“ 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
â–º (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
â–º (d) more than 4

16.Â  The zeroes of the quadratic polynomial 3x2 â€“ 48 are
(a) both negative
(b) one positive and one negative
(c) both positive
(d) both equal
â–º (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
â–º (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
â–º(c) - 5, 6

19. The graph of the polynomial f(x) = 2x â€“ 5 intersects the x â€“ axis at
(a) (5/2, 0)
(b) (-5/2, 0)
(c) (-5/2, 5/2)
(d) (5/2, -5/2)
â–º (a) (5/2, 0)

20. Sum and the product of zeroes of the polynomial x2 +7x +10 isÂ
(a) 10/7 and -10/7
(b) 7/10 and -7/10
(c) -7 and 10
(d) 7 and -10
â–º (c) -7 and 10
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