We have compiled the NCERT MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers Pdf free download covering the entire syllabus. Practice MCQ Questions for Class 8 Maths with Answers on a daily basis and score well in exams. Refer to the Factorisation Class 8 MCQs Questions with Answers here along with a detailed explanation.

## Factorisation Class 8 MCQs Questions with Answers

Choose the correct option.

Question 1.

Which of the following is the common factor of 25a²b and 55ab²?

(a) 5ab²

(b) 5a²b

(c) 5ab

(d) 5a²b²

## Answer

Answer: (c) 5ab

Question 2.

Which of the following are the factor is x² – 1?

(a) (x – 1) (x – 1)

(b) (x + 1) (x – 1)

(c) (1 – x)(1 + x)

(d) (1 + x)(1 + x)

## Answer

Answer: (b) (x + 1) (x – 1)

Question 3.

The common factor of 6a²b^{4}c², 21a²b and 15a³ is

(a) 3a³

(b) 6a³

(c) 6a²

(d) 3a²

## Answer

Answer: (d) 3a²

Question 4.

The factorisation of 12a²b + 15ab² is

(a) 3ab (4a + 5b)

(b) 3a²b(4a + 5b)

(c) 3ab²(4a + 5b)

(d) 3a²b²(4a + 5b)

## Answer

Answer: (a) 3ab (4a + 5b)

Question 5.

The factorisation of 10x² – 18x³ + 14x^{4} is

(a) 2x³ (7x² – 9x + 5)

(b) 2x (7x² – 9x + 5)

(c) 2x² (7x² – 9x + 5)

(d) 2(7x² – 9x + 5)

## Answer

Answer: (c) 2x² (7x² – 9x + 5)

Question 6.

The factorisation of x²yz + xy²z + xyz² is

(a) xyz(x + y + z)

(b) x²yz (x + y + z)

(c) xy²z (x + y + z)

(d) xyz² (x + y + z)

## Answer

Answer: (a) xyz(x + y + z)

Question 7.

Which of the following is the factorisation of x³ – x?

(a) x(x² – x)

(b) x(1 + x)(1 + x)

(c) x(x – x²)

(d) x(x + 1)(x – 1)

## Answer

Answer: (d) x(x + 1)(x – 1)

Question 8.

If x² – x – 42 = (x + k) (x + 6) then k =

(a) 6

(b) -6

(c) -7

(d) 7

## Answer

Answer: (c) -7

Question 9.

The quotient of 12a^{8}b^{8} ÷ (- 4a^{6}b^{6}) is

(a) 3a²b²

(b) 3a²b

(c) 3ab²

(d) -3a²b²

## Answer

Answer: (d) -3a²b²

Question 10.

The value of 3.5 × 3.5 – 2.5 × 2.5 is

(a) -6

(b) 6

(c) 60

(d) 1

## Answer

Answer: (b) 6

Question 11.

Which ofthe following is the common factor of 21 x²y and 35 xy²?

(a) 7

(b) xy

(c) 7 xy

(d) none of these

## Answer

Answer: (c) 7 xy

Question 12.

Which of the following are the factors of

(a) (x + 1) (x – 1)

(b) (1 – x) (1 + x)

(c) (1 – x) (1 – x)

(d) (1 + x) (1 + x)

## Answer

Answer: (b) (1 – x) (1 + x)

Fill in the blanks

Question 1.

The greatest common factor of 16a³b² and 2ab² is ………………..

## Answer

Answer: 2ab²

Question 2.

Factors of x² – 2 + \(\frac {1}{x^2}\) are ……………….

## Answer

Answer: (x – \(\frac {1}{x}\)) (x – \(\frac {1}{x}\))

Question 3.

The value of x² – 16 ÷ x + 4 is ………………….

## Answer

Answer: x – 4

Question 4.

The value of 102² – 98² is …………………..

## Answer

Answer: 800

Question 5.

The product of (x – 7) (x + 2) is ……………………

## Answer

Answer: x² – 5x – 14

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