# Class 8 Maths Chapter 14 Factorisation MCQs

**Class 8 Maths Chapter 14 Factorisation MCQs** (Questions and Answers) are available online for students. These objective questions are designed by subject experts, according to CBSE syllabus **(2021-2022)** and NCERT guidelines. The chapter-wise multiple-choice questions are provided at BYJU’S to make all students learn each concept and help them to score better marks in exams. Also, learn important questions for class 8 Maths here.

Practice more and test your skills on Class 8 Maths Chapter 14 Factorisation MCQs with the given PDF here.

## MCQs on Class 8 Factorisation

Multiple choice questions (MCQs) are given for Class 8 Factorisation chapter. All the questions have to be solved by students, and then they need to select the right answer.

**1. The factorisation of 12a ^{2}b+15ab^{2} gives:**

A. 3ab(4ab+5)

B. 3ab(4a+5b)

C. 3a(4a+5b)

D. 3b(4a + 5b)

Answer: **B**

Explanation: 12a^{2}b+15ab^{2}

12a^{2}b = 3 x 4 x a x a x b

15ab^{2} = 3 x 5 x a x b x b

The common factors are 3ab.

12a^{2}b+15ab^{2} = 3ab(4a+5b)

**2. The factorisation of 12x+36 is**

A. 12(x+3)

B. 12(3x)

C. 12(3x+1)

D. x(12+36x)

Answer: **A**

Explanation: 12x + 36

12 x + 12 . 3

=12(x+3)

**3. On factorising 14pq + 35pqr, we get:**

A. pq(14+35r)

B. p(14q+35qr)

C. q(14p+35pr)

D. 7pq(2+5r)

Answer: **D**

Explanation: 14pq + 35pqr

= 2.7.p.q + 5.7.p.q.r

= 7pq(2+5r)

**4. The factors of 6xy – 4y + 6 – 9x are:**

A. (3x + 2) (2y + 3)

B. (3x – 2) (2y – 3)

C. (3x – 2) (2y + 3)

D. (3x –+2) (2y – 3)

Answer: **B**

Explanation: 6xy – 4y + 6 – 9x

= 6xy – 4y – 9x + 6

= 2y (3x – 2) – 3 (3x – 2)

= (3x – 2) (2y – 3)

**5. The factors of x ^{2}+xy+8x+8y are:**

A. (x+y) (x+8)

B. (2x+y) (x+8)

C. (x+2y) (x+8)

D. (x+y) (2x+8)

Answer:** A**

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

= x(x+y)+8(x+y)

=(x+y)(x+8)

**6. The factors of 4y ^{2 }– 12y + 9 is:**

A. (2y+3)^{2}

B. (2y-3)^{2}

C. (2y-3)(2y+3)

D. None of the above

Answer: **B**

Explanation: 4y^{2 }– 12y + 9

4y^{2} = (2y)^{2} & 9 = 3^{2} & 12y = 2.3.2y

4y^{2 }– 12y + 9 = (2y)^{2} – 2 × 3 × (2y) + (3)^{2}

= (2y – 3)^{2} [By algebraic identities: (a-b)^{2} = a^{2}+b^{2}-2ab

**7. The factors of 49p ^{2} – 36 are:**

A. (7p+6)^{2}

B. (7p-6)^{2}

C. (7p – 6 ) ( 7p + 6)

D. None of the above

Answer: **C**

Explanation: 49p^{2} – 36 = (7p)^{2} – ( 6 )^{2} = (7p – 6 ) ( 7p + 6)

**8. The factors of m ^{2} – 256 are:**

A. (m + 4)^{2}

B. (m – 4)^{2}

C. (m – 4) (m+4)

D. None of the above

Answer: **D**

Explanation: m^{2} = (m)^{2} and 256 = (16)^{2}

By using the algebraic identity, a^{2}-b^{2} = (a+b).(a-b), we get (m+16).(m-16).

**9. When we factorise x ^{2}+5x+6, then we get:**

A. (x +2) (x + 3)

B. (x – 2) (x – 3)

C. (x × 2) + (x × 3)

D. (x × 2) – (x × 3)

Answer: **A**

Explanation: The factors of a form:

(x + a) (x + b) = x^{2} + (a + b) x + ab

x^{2}+5x+6

a+b = 5 and ab = 6

x^{2}+5x+6 = (x +2) (x + 3)

**10. The factors of 3m ^{2} + 9m + 6 are:**

A. (m + 1) (m + 2)

B. 3(m + 1) (m + 2)

C. 6(m + 1) (m + 2)

D. 9(m + 1) (m + 2)

Answer: **B**

Explanation: 3m^{2} + 9m + 6 = 3(m^{2} + 3m + 2)

= 3 [m^{2} + m + 2m + 2]

= 3 [m(m + 1)+ 2( m + 1)]

= 3 [(m + 1) (m + 2)]

**11. The common factor of a ^{3}b^{3} and ab^{2} is:**

A. a^{2}b^{2}

B. ab^{2}

C. a^{2}b

D. ab

Answer: B. ab^{2}

a^{3}b^{3} = a x a x a x b x b x b

ab^{2} = a x b x b

The common factors are: a × b × b = ab^{2}

**12. The common factor of a ^{3}b^{2} and a^{4}b is:**

A. a^{4}b^{2}

B. a^{4}b

C. a^{3}b^{2}

D. a^{3}b

Answer: D. a^{3}b

Explanation: Same as question no.11

**13. The common factor 12a and 30 is:**

A.6

B. 12

C. 30

D. 6a

Answer: A. 6

12a = 2 x 2 x 3 x a

30 = 2 x 3 x 5

**14. The common factors of 10a, 20b and 30c are:**

A. ab

B. ac

C. 10abc

D. 10

Answer: 10

10a = 2 x 5 x a

20b = 2 x 2 x 5 x b

30c = 2 x 3 x 5 x c

**15. The common factor of 6x ^{3}y^{4}z^{2}, 21x^{2}y and 15x^{3} is:**

A. 3x

^{2}

B. 3x^{3}

C. 6x^{3}

D. 6x^{2}

Answer: A. 3x^{2}

Explanation: Same as question number 14.

**16. The common factor of 24a ^{3}b^{4}, 36a^{4}c^{4} and 48a^{3}b^{2}c is:**

A. 12a^{3}

B. 24a^{3}

C. 36a^{3}

D. 48a^{3}

Answer: A. 12a^{3}

Explanation:

24a³b^{4} = 2 × 2 × 2 × 3 × a × a × a × b × b × b × b

36a^{4}c^{4} = 2 × 2 × 3 × 3 × a × a × a × a × c × c × c × c

48a^{3}b^{2}c = 2 × 2 × 2 × 2 × 3 × a × a × a × b × b × c

**17. The factorisation of 12x ^{2}y + 15xy^{2} is:**

A. 3xy^{2} (4x + 5y)

B. 3x^{2}y (4x + 5y)

C. 3xy (4x + 5y)

D. 3x^{2}y^{2} (4x + 5x)

Answer: C. 3xy (4x + 5y)

12x^{2}y + 15xy^{2} = 3xy (4x + 5y)

**18. The factorisation of 5x – 20 is:**

A. 5(x-5)

B. 5(x-4)

C. 5(x-3)

D. 5(x-20)

Answer: B. 5(x-4)

Explanation: 5x – 20 = 5 (x – 4)

**19. The factorisation of 8x + 4y is:**

A. 8(x+4y)

B. 4(2x+4y)

C. 8(x+y)

D. 4(2x+y)

Answer: D. 4(2x + y)

**20. The factors of xyz are:**

A. x

B. y

C. z

D. All of the above

Answer: D.

x, y and z are all the factors of xyz.