If you’re looking for a way to enhance your Class 8 Maths, then look no further than the NCERT MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers. The MCQ Questions for Class 8 Maths with Answers are aligned to all topics covered so it will be helpful when preparing for your exams, no matter what subject you’re studying! Don’t forget about scoring maximum points during exam preparation by using these free Class 8 Maths Chapter 14 Factorisation Objective Questions.

## Factorisation Class 8 MCQs Questions with Answers

What are you waiting for? Get all the answers to Class 8 Maths Chapter 14 MCQs! It’s time that students power up and start practicing these MCQ Questions of Factorisation Class 8 with answers. The best way of doing so would be solving them yourself in order not only to know which answer is correct but also to understand why each solution works as well.

Question 1.

Factorise: 4y^{2} −12y + 9

(a) (7y− 5)^{2}

(b) (5y− 3)^{2}

(c) (2y− 5)^{2}

(d) (2y− 3)^{2}

## Answer

Answer: (d) (2y− 3)^{2}

Question 2.

Factorise 6xy – 4y + 6 – 9x.

(a) (3x – 2) (2y – 3)

(b) (3x – 2)

(c) (2y – 3)

(d) (2x – 3) (3y – 2)

## Answer

Answer: (a) (3x – 2) (2y – 3)

Question 3.

Which of the following is quotient obtained on dividing –18 xyz^{2} by –3 xz?

(a) 6 yz

(b) –6 yz

(c) 6 xy2

(d) 6 xy

## Answer

Answer: (a) 6 yz

Question 4.

Factorize x^{2} + 8x + 12

(a) (x + 2)(x + 6)

(b) (x + 3)(x + 4)

(c) 3x + 12

(d) 3x – 12

## Answer

Answer: (a) (x + 2)(x + 6)

Question 5.

Factorise: x^{2}+xy+ 8x+ 8y

(a) (x + 8) (x + y)

(b) (x + y)

(c) (x + 8)

(d) (x + 9) (x – y)

## Answer

Answer: (a) (x + 8) (x + y)

Question 6.

Find and correct the errors in the following mathematical statements. x (3x + 2) = 3x^{2} + 2

(a) x (3x + 2) = 3x^{2} + 2x

(b) x (3x + 2) = 3x^{2}

(c) x(3x + 2) = 5x^{2}+ 2x

(d) none of these

## Answer

Answer: (a) x (3x + 2) = 3x^{2} + 2x

Question 7.

Find the common factors of 2y, 22xy.

(a) 2y

(b) 2

(c) 22

(d) y

## Answer

Answer: (a) 2y

Question 8.

Divide as directed: 5 (2x + 1) (3x + 5) ÷ (2x + 1)

(a) 5 (3x + 5)

(b) (3x + 5)

(c) 5

(d) none of these

## Answer

Answer: (a) 5 (3x + 5)

Question 9.

The common factor of a^{2}m^{4} and a^{4}m^{2} is

(a) a^{4}m^{4}

(b) a^{2}m^{2}

(c) a^{2}m^{4}

(d) a^{4}m^{2}

## Answer

Answer: (b) a^{2}m^{2}

Question 10.

Amrit and Pankaj expanded (x−5)^{2}. Amrit’s answer is x^{2}−25 and Pankaj’s answer is x^{2}−10x+25. Which of the following statements is correct?

(a) Amrit’s answer is correct.

(b) Pankaj’s answer is wrong.

(c) Both got correct answer.

(d) Pankaj’s answer is correct.

## Answer

Answer: (d) Pankaj’s answer is correct.

Question 11.

When we factorise an expression, we write it as a ________ of factors.

(a) product

(b) difference

(c) sum

(d) none of these

## Answer

Answer: (a) product

Question 12.

Divide the given polynomial by the given monomial: (5x^{2}− 6x) ÷ 3x

(a) (5x – 6)

(b) \(\frac { 1 }{ 3 }\)

(c) \(\frac { 1 }{ 3 }\)(5x – 6)

(d) none of these

## Answer

Answer: (c) \(\frac { 1 }{ 3 }\)(5x – 6)

Question 13.

How many factors does (x^{9}−x) have?

(a) 5

(b) 4

(c) 2

(d) 9

## Answer

Answer: (a) 5

Question 14.

What are the factors of x^{2}+xy−2xz−2yz?

(a) (x−y) and (x+2z)

(b) (x+y) and (x−2z)

(c) (x−y)and (x−2z)

(d) (x+y) and (x+2z)

## Answer

Answer: (b) (x+y) and (x−2z)

Question 15.

Divide as directed: 52pqr (p + q) (q + r) (r + p) ÷104pq (q + r) (r + p)

(a) r(p+q)

(b) \(\frac { 1 }{ 2 }\) r(p+q)

(c) \(\frac { 1 }{ 2 }\)

(d) none of these

## Answer

Answer: (b) \(\frac { 1 }{ 2 }\) r(p+q)

Question 16.

Choose the factors of 15x^{2}−26x+8 from the following.

(a) (3x−4),(5x+2)

(b) (3x−4),(5x−2)

(c) (3x+4),(5x−2)

(d) (3x+4),(5x+2)

## Answer

Answer: (b) (3x−4),(5x−2)

Question 17.

Solve: –20(x)^{4} ÷ 10(x)^{2}

(a) \(\frac { 1 }{ 2 }\)x

(b) x

(c) \(\frac { 1 }{ 2 }\)

(d) -2x^{2}

## Answer

Answer: (d) -2x^{2}

Question 18.

Divide as directed: 26xy (x + 5) (y – 4) ÷ 13x (y – 4)

(a) 2y (x + 5)

(b) (x + 5)

(c) 2y

(d) None of these

## Answer

Answer: (a) 2y (x + 5)

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