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 : 8a3+ b3 + 12a2b + 6ab2 (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) = ax2+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 1032-9 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) x2 + 3x – 2 (b) x2 – 2x + 3 (c) x2 – 3x + 2 (d) x2 – 3x – 2 ► (d) x2 – 3x – 2 8. Expansion of 2x(x + 2y) + 3x(2x - 3y) yields (a) 8x2 - 5xy (b) 8x - 5y (c) 3y - 2y (d) None of these ► (a) 8x2 - 5xy 9. Factorize the quadratic polynomial by splitting the middle term: y2 – 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: x2 + 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 3x2 + 8x + 5 is (a) (x+1) (b) (x-4) (c) (x-2) (d) (x+2) ► (a) (x+1) 12. The factors of 2x2 – 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 4x2 + 9y2. (a) 67 (b) 98 (c) 56 (d) 84 ► (d) 84 15. Factorise: x2– 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) = t2 – t + 2 (a) 22/9 (b) 15/9 (c) 16/9 (d) 14/9 ► (c) 16/9 17. Find the value of 5252 – 4752. (a) 100 (b) 10000 (c) 50000 (d) 100000 ► (c) 50000 18. Find the value of k if x2 + 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 x2 + px + 3 – p. (a) 1 (b) -1 (c) 3 (d) -3 ► (c) 3 20. If the area of the rectangle is 4x2 + 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.