MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers

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

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: (b) (x + 1) (x – 1)

Question 3.
The common factor of 6a²b4c², 21a²b and 15a³ is
(a) 3a³
(b) 6a³
(c) 6a²
(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: (a) 3ab (4a + 5b)

Question 5.
The factorisation of 10x² – 18x³ + 14x4 is
(a) 2x³ (7x² – 9x + 5)
(b) 2x (7x² – 9x + 5)
(c) 2x² (7x² – 9x + 5)
(d) 2(7x² – 9x + 5)

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: (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: (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

Question 9.
The quotient of 12a8b8 ÷ (- 4a6b6) is
(a) 3a²b²
(b) 3a²b
(c) 3ab²
(d) -3a²b²

Question 10.
The value of 3.5 × 3.5 – 2.5 × 2.5 is
(a) -6
(b) 6
(c) 60
(d) 1

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

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: (b) (1 – x) (1 + x)

Fill in the blanks

Question 1.
The greatest common factor of 16a³b² and 2ab² is ………………..

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

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

Question 3.
The value of x² – 16 ÷ x + 4 is ………………….

Question 4.
The value of 102² – 98² is …………………..