MCQ Questions | Class 8 Maths Chapter 14 | Factorisation with Answers

MCQ | Factorisation Class 8

Check the below NCERT MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have Provided Factorisation Class 8 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 8

NCERT Solutions Class 8 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	8th
Subject:	Maths
Chapter:	14 Part-2
Chapters Name:	Factorisation
Medium:	English

Ncert Solutions for Class 8 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 8 Maths Chapter 14 Factorisation to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Factorisation | Class 8 Maths | NCERT Solutions

Q1.	Ncert Class 8 Maths Mcq Chapter 14 The factorisation of a³ + a²b + ab² is
	A. a(a² + ab + b²)
	B. 6(a² + ab + b²)
	C. ab(a² + ab + b²)
	D. none of these.

Ans: a(a² + ab + b²)
Hint:
a³ + a²b + ab² = a(a² + ab + b²)

Q2.	Ncert Class 8 Maths Mcq Questions 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).

Ans: xyz(x + y + z)
Hint:
x²yz + xy²z + xyz² = xyz (x + y + z)

Q3.	CBSE Class 8 Maths Chapter 14 Mcq The factorisation of ax²y + bxy² + cxyz is
	A. xy(ax + by + cz)
	B. axy(ax + by + cz)
	C. bxy(ax + by + cz)
	D. cxy(ax + by + cz).

Ans: xy(ax + by + cz)
Hint:
ax²y + bxy² + cxyz = xy (ax + by + cz)

Q4.	CBSE Class 8 Maths Chapter 14 Mcq Questions The factorisation of a (x + y + z) + b(x + y + z) + c(x + y + z) is
	A. (a + b + c)(x + y + z)
	B. (ab + bc + ca)(x + y + z)
	C. (xy + yz + zx)(a + b + c)
	D. none of these.

Ans: (a + b + c)(x + y + z)
Hint:
a(x + y + z) + b(x + y + z) + c(x + y + z)
= (x + y + z) (a + b + c).

Q5.	CBSE Class 8 Maths Factorisation Mcq The factorisation of 6xy – 4y + 6 – 9x is
	A. (3x – 2)(2y – 3)
	B. (3x + 2)(2y – 3)
	C. (3x – 2)(2y + 3)
	D. (3x + 2)(2y + 3).

Ans: (3x – 2)(2y – 3)
Hint:
6xy – 4y + 6 – 9x
= 2y(3x – 2) – 3(- 2 + 3x)
= (3x – 2)(2y – 3)

Q6.	CBSE Class 8 Maths Mcq Questions The factorisation of x² + xy + 2x + 2y is
	A. (x + 2)(x + y)
	B. (x + 2)(x – y)
	C. (x – 2)(x + y)
	D. (x – 2)(x – y).

Ans: (x + 2)(x + y)
Hint:
x² + xy + 2x + 2y
= x(x + y) + 2(x + y)
= (x + 2) (x + y).

Q7.	CBSE Class 8 Maths Factorisation Mcq Questions The factorisation of ax + bx – ay – by is
	A. (x – y)(a + b)
	B. (x + y)(a + b)
	C. (x – y)(a – b)
	D. (x + y)(a – b).

Ans: (x – y)(a + b)
Hint:
ax + bx – ay – by
= x(a + b) – y(a + b)
= (x – y)(a + b).

Q8.	Class 8 Maths Mcq Chapter 14 The factorisation of ab – a – b + 1 is
	A. (a – 1)(b – 1)
	B. (a + 1)(b + 1)
	C. (a – 1)(b + 1)
	D. (a + 1)(b – 1).

Ans: (a – 1)(b – 1)
Hint:
ab – a – b + 1
= a(b – 1) – 1(b – 1)
= (a – 1)(b – 1).

Q9.	Class 8 Maths Mcq online test The factorisation of x² + x + xy + y + zx + z is
	A. (x + y + z)(x + 1)
	B. (x + y + z)(x + y)
	C. (x + y + z)(y + z)
	D. (x + y + z)(z + x).

Ans: (x + y + z)(x + 1)
Hint:
x² + x + xy + y + zx + z
= x(x + 1) + y(x + 1) + z(x + 1)
= (x + 1)(x + y + z).

Q10.	Class 8 Maths Mcq with answers The factorisation of x²y² + xy + xy²z + yz + x²yz + xz is
	A. (xy + yz + zx)(xy + 1)
	B. (xy + yz + zx)(yz + 1)
	C. (xy + yz + zx)(zx + 1)
	D. none of these.

Ans: (xy + yz + zx)(xy + 1)
Hint:
x²y² + xy + xy²z + yz + x²yz + xz
= xy(xy + 1) + yz(xy + 1) + zx(xy + 1)
= (xy + yz + zx)(xy + 1).

Q11.	Learn Cbse Class 8 Maths Mcq The factorisation of x² + 8x + 16 is
	A. (x + 2)²
	B. (x + 4)²
	C. (x – 2)²
	D. (x – A)²

Ans: (x + 4)²
Hint:
x² + 8x + 16
= (x)² + 2 (x)(4) + (4)²
= (x + 4)².

Q12.	Mcq Class 8 Maths Chapter 14 The factorisation of 4y² – 12y + 9 is
	A. (2y + 3)²
	B. (2y – 3)²
	C. (3y + 2)²
	D. (3y – 2)²

Ans: (2y – 3)²
Hint:
4y² – 12y + 9
= (2y)² – 2(2y)(3) + (3)²
= (2y – 3)²

Q13.	Mcq for Class 8 Maths Chapter 14 The factorisation of 49p² – 36 is
	A. (7p + 6)(7p – 6)
	B. (6p + 7)(6p – 7)
	C. (7p + 6)²
	D. (7p – 6)²

Ans: (7p + 6)(7p – 6)
Hint:
49p² – 36
= (7p)² – (6)² = (7p – 6)(7p + 6).

Q14.	Mcq Questions for Class 8 Maths with answers pdf Chapter 14 The factorisation of y² – 7y + 12 is
	A. (y + 3)(y + 4)
	B. (y + 3)(y – 4)
	C. (y – 3)(y + 4)
	D. (y – 3)(y – 4).

Ans: (y – 3)(y – 4)
Hint:
y² – 7y + 12
= y² – 3y – 4y + 12
= y(y – 3) – 4(y – 3)
= (y – 3)(y – 4).

Q15.	Mcq Questions for Class 8 Maths with answers pdf download The factorisation of z² – 4z – 12 is
	A. (z + 6)(z + 2)
	B. (z – 6)(z – 2)
	C. (z – 6)(z + 2)
	D. (z + 6)(z – 2).

Ans: (z – 6)(z + 2)
Hint:
z³ – 4z – 12
= z² – 6z + 2z — 12
= z(z – 6) + 2(z – 6)
= (z – 6)(z + 2).

Q16.	Ncert Class 8 Maths Mcq Chapter 14 The factorisation of am² + bm² + bn² + an² is
	A. (a + b)(m² – n²)
	B. (a + b)(m² + n²)
	C. (a – b)(m² + n²)
	D. (a – b)(m² – n²).

Ans: (a + b)(m² + n²)
Hint:
am² + bm² + bn² + an²
= m²(a + b) + n²(b + a)
= (a + b)(m² + n²).

Q17.	Ncert Class 8 Maths Mcq Questions The factorisation of (lm + l) + m + 1 is
	A. (l + 1)(m + 1)
	B. (l – 1)(m – 1)
	C. (l + 1)(m – 1)
	D. (l – 1)(m + 1).

Ans: (l + 1)(m + 1)
Hint:
lm + l + m + 1
= l(m + 1) + 1 (m + 1)
= (l + 1 )(m + 1).

Q18.	CBSE Class 8 Maths Chapter 14 Mcq The factorisation of (l + m)² – 4lm is
	A. (l – m)²
	B. (l + m – 2)²
	C. (l + m + 2)²
	D. none of these.

Ans: (l – m)²
Hint:
(1 + m)² – 4lm
= l² + m² + 2lm – 4lm
= l² – 2lm + m² = (l – m)²

Q19.	CBSE Class 8 Maths Chapter 14 Mcq Questions The factorisation of 1 + p + q + r + pq + qr + pr + pqr is
	A. (1 + p)(1 + q)(1 + r)
	B. (1 – p)(1 – q)(1 – r)
	C. (1 – p)(1 – q)(1 + r)
	D. (1 + p)(1 – q)(1 – r).

Ans: (1 + p)(1 + q)(1 + r)
Hint:
1 + p + q + r + pq + qr+pr + pqr
= 1 + p + q + pq + r(1 + p + q + pq)
= (1 + r)(1 + p + q + pq)
= (1 + r)(1 + p)(1 + q).