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
(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
► (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
► (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
► (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
► (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
► (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
► (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
(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)
► (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
► (c) -7 and 10