# MCQ Questions for Class 9 Maths Chapter 2 Polynomials with answers

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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.

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