1. 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

2. A quadratic polynomial, whose zeroes are -3 and 4, is
(a) x2- x + 12
(b) x2 + x + 12
(c) x22−x2−6
(d) 2×2 + 2x – 24

3. 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

4. The number of polynomials having zeroes as -2 and 5 is
(a) 1
(b) 2
(c) 3
(d) more than 3

5. 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

6. 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

7. 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

8. If the zeroes of the quadratic polynomial ax2 + bx + c, c # 0 are equal, then
(a) c and a have opposite signs
(b) c and b have opposite signs
(c) c and a have the same sign
(d) c and b have the same sign

9. If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is the negative of
the other, then it
(a) has no linear term and the constant term is negative.
(b) has no linear term and the constant term is positive.
(c) can have a linear term but the constant term is negative.
(d) can have a linear term but the constant term is positive.

10. The number of polynomials having zeroes as 4 and 7 is
(a) 2
(b) 3
(c) 4
(d) more than 4

11. A quadratic polynomial, whose zeores are -4 and -5, is
(a) x2-9x + 20
(b) x2 + 9x + 20
(c) x2-9x- 20
(d) x2 + 9x- 20

12. 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

13. The zeroes of the quadratic polynomial x2 – 15x + 50 are
(a) both negative
(b) one positive and one negative
(c) both positive
(d) both equal

14. The zeroes of the quadratic polynomial 3×2 – 48 are
(a) both negative
(b) one positive and one negative
(c) both positive
(d) both equal

15. The zeroes of the quadratic polynomial x2 – 18x + 81 are
(a) both negative
(b) one positive and one negative
(c) both positive and unequal
(d) both equal and positive

16. 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

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

18. If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is
(a) 0
(b) 1
(c) 2
(d) 3
19. If x3 + 11 is divided by x2 – 3, then the possible degree of remainder is
(a) 0
(b) 1
(c) 2
(d) less than 2

20. If x4 + 3×2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder
are:
(a) 3, 0
(b) 4, 1
(c) 3, 1
(d) 4, 0