Below you will find MCQ Questions of Chapter 2 Polynomials Class 10 Maths that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 10 Maths Chapter 2 Polynomials with Answers
1. 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
2. The value of 155 mod 9 is
(a) 0
(b) 1
(c) 2
(d) 3
► (c) 2
3. The real number which should be subtracted from the polynomial 2x^{3}+5x^{2}−14x+10 so that the polynomial 2x−3 divides it exactly is
(a) 7
(b) – 6
(c) 6
(d) – 7
► (a) 7
4. When x^{3} – 3x^{2} + 5x – 3 is divided by x^{2} – k , the remainder is 7x + a . Then the value of k is_____
(a) 1
(b) 2
(c) 6
(d) 3
► (b) 2
5. If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial.
(a) x-5
(b) (x-5)(x+5)
(c) x^{2} – 5
(d) x^{2} – 25
► (c) x^{2} – 5
6. If α , β are the zeroes of f(x) = px2 – 2x + 3p and α + β = αβ then the value of p is:
(a) 1/3
(b) -2/3
(c) 2/3
(d) -1/3
► (c) 2/3
7. If ‘α ’ and ‘β ’ are the zeroes of a quadratic polynomial x^{2}− 5x + b and α − β = 1, then the value of ‘b’ is
(a) – 5
(b) 6
(c) 5
(d) – 6
► (b) 6
8. What value/s can x take in the expression k(x – 10) (x + 10) = 0 where k is any real number.
(a) 100, -100
(b) Infinitely many
(c) Depends on value of k
(d) 10, -10
► (d) 10, -10
9. 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)
10. If “1” is a zero of the polynomial P(a) = x^{2}a^{2} – 2xa + 3x – 2, then x = ______
(a) 2
(b) -2, 1
(c) +2, -2
(d) -2, 0
► (b) -2, 1
11. The graph of the polynomial ax^{2}+ bx + c is an upward parabola if
(a) a > 0
(b) a < 0
(c) a = 0
(d) None of these
► (a) a > 0
12. The sum and product of zeros of a quadratic polynomial are 2 and -15 respectively. The quadratic polynomial is
(a) x^{2} + 2x – 15
(b) x^{2} – 2x + 15
(c) x^{2} – 2x – 15
(d) x^{2} + 2x + 15
► (c) x^{2} – 2x – 15
13. A polynomial of degree 3 is called
(a) a linear polynomial
(b) a quadratic polynomial
(c) a cubic polynomial
(d) a biquadratic polynomial
► (c) a cubic polynomial
14. Which of the given is the set of zeroes of the polynomial p(x) = 2x^{3} + x^{2} – 5x + 2
(a) 1/2, -1, -2
(b) 1/2, 1, -2
(c) -1/2, -1, -2
(d) -1/2, 1, -2
► (b) 1/2, 1, -2
15. If the sum of the zeroes of the polynomial f(x) = 2x^{3} – 3kx^{2} + 4x – 5 is 6, then the value of k is
(a) 2
(b) 4
(c) -2
(d) -4
► (b) 4
16. The value of quadratic polynomial f (x) = 2x2– 3x- 2 at x = -2 is ……
(a) 12
(b) 15
(c) -12
(d) 16
► (a) 12
17. If (x + 1) is a factor of x2 – 3ax + 3a – 7, then the value of a is
(a) -2
(b) 0
(c) 1
(d) -1
► (c) 1
18. If sum of the zeroes of the polynomial is 4 and their product is 4, then the quadratic polynomial is
(a) x^{2} – 2x + 2
(b) x^{2} – 4x + 4
(c) x^{2} + 4x + 4
(d) x^{2} + 2x + 2
► (b) x^{2} – 4x + 4
19. Dividend is equal to
(a) divisor × quotient + remainder
(b) divisior × quotient
(c) divisior × quotient – remainder
(d) divisor × quotient × remainder
► (a) divisor × quotient + remainder
20. If α and β 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
21. If a – b, a and a + b are zeroes of the polynomial fix) = 2x³ – 6x² + 5x – 7, then value of a is
(a) 1
(b) 2
(c) -5
(d) 7
► (a) 1
22. If the zeroes of the quadratic polynomial x^{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
23. 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^{2} – 4x + 12
► (c) x^{2} + 4x – 12
24. If one zero of the polynomial p(x) = (k+4)x^{2}+13x+3k is reciprocal of the other, then the value of ‘k’ is
(a) 3
(b) 4
(c) 5
(d) 2
► (d) 2
Hope the given MCQ Questions will help you in cracking exams with good marks. These Polynomials MCQ Questions will help you in practising more and more questions in less time.