Below you will find MCQ Questions of Chapter 2 Polynomials Class 9 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 9 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 9 Maths Chapter 2 Polynomials with answers
1. Factorise : 8a^{3}+ b^{3} + 12a2b + 6ab^{2}
(a) (2a + b) (2a + b) (2a + b)
(b) (2a – b) (2a – b) (2a + b)
(c) (2a-b)(2a-b)(2a-b)
(d) (-2a + b) (-2a + b) (2a + b)
► (a) (2a + b) (2a + b) (2a + b)
2. The value of k for which x + 1 is a factor of the polynomial x3 + x2 + x + k is :-
(a) 0
(b) 2
(c) 1
(d) -1
► (c) 1
3. Using Remainder Theorem find the remainder when x3 - x2 + x - 1 is divided by x - 1
(a) -2
(b) -1
(c) 1
(d) 0
► (d) 0
4. If a polynomial p(x) is divided by a linear divisor (x-a), then the remainder is
(a) p(a)
(b) p(1)
(c) p(0)
(d) p(x)
► (a) p(a)
5. x-a is a factor of p(x) = ax^{2}+bx+c. Which of the following is true?
(a) p(a) = 2
(b) p(a) = 0
(c) p(2) = 1
(d) p(b) = 0
► (b) p(a) = 0
6. Factorization of 103^{2}-9 yields
(a) 10300
(b) 10600
(c) 11250
(d) 12500
► (b) 10600
7. The quadratic polynomial whose sum of zeroes is 3 and the product of zeroes is –2 is :
(a) x^{2} + 3x – 2
(b) x^{2} – 2x + 3
(c) x^{2} – 3x + 2
(d) x^{2} – 3x – 2
► (d) x^{2} – 3x – 2
8. Expansion of 2x(x + 2y) + 3x(2x - 3y) yields
(a) 8x^{2} - 5xy
(b) 8x - 5y
(c) 3y - 2y
(d) None of these
► (a) 8x^{2} - 5xy
9. Factorize the quadratic polynomial by splitting the middle term: y^{2} – 4 y –21
(a) (y – 7) (y – 3)
(b) (y – 7) (y + 3)
(c) (y + 7) (y – 3)
(d) (y + 7) (y + 3)
► (b) (y – 7) (y + 3)
10. Factorise the quadratic polynomial by splitting the middle term:
x^{2} + 14x + 45
(a) (x + 9) (x+5)
(b) (x - 9) (x+5)
(c) (x-9) ( x-5)
(d) (x+9) ( x-5)
► (a) (x + 9) (x+5)
11. One of the linear factors of 3x^{2} + 8x + 5 is
(a) (x+1)
(b) (x-4)
(c) (x-2)
(d) (x+2)
► (a) (x+1)
12. The factors of 2x^{2} – 3x – 2 are :-
(a) (2x – 1) (x + 2)
(b) (2x + 1) (x – 2)
(c) (x + 1) (x – 2)
(d) (x – 1) (x + 2)
► (b) (2x + 1) (x – 2)
13. Factorize: (x – y)^{3} + (y – z)^{3} + (z – x)^{3}
(a) (2x – y) (y – z) ( z – x)
(b) 3(x – y) (y – z) (z – x)
(c) (x – y) (2y – 3z) (z – x)
(d) (2x – 3y) (5x + 3y) (6x – 7y)
► (b) 3(x – y) (y – z) (z – x)
14. If 2x + 3y = 12 and xy = 5, find the value of 4x^{2} + 9y^{2}.
(a) 67
(b) 98
(c) 56
(d) 84
► (d) 84
15. Factorise: x^{2}– 81
(a) (x+9)(x+9)
(b) (x-9)(x-9)
(c) (x-9)(x+9)
(d) (x-81)(x+1)
► (c) (x-9)(x+9)
16. Find p(1/3) for p(t) = t^{2} – t + 2
(a) 22/9
(b) 15/9
(c) 16/9
(d) 14/9
► (c) 16/9
17. Find the value of 525^{2} – 475^{2}.
(a) 100
(b) 10000
(c) 50000
(d) 100000
► (c) 50000
18. Find the value of k if x^{2} + kx + 6 = (x + 2) (x + 3) for all k.
(a) 1
(b) -1
(c) 5
(d) 3
► (c) 5
19. Find the value of p for which x + p is a factor of x^{2} + px + 3 – p.
(a) 1
(b) -1
(c) 3
(d) -3
► (c) 3
20. If the area of the rectangle is 4x^{2} + 4x – 3, then find its possible dimensions.
(a) 2x – 3, 2x + 1
(b) 2x – 1, 2x + 3
(c) 3x + 1, 2x – 3
(d) 3x – 1, 2x + 3
► (b) 2x – 1, 2x + 3
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.