# 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

Book: National Council of Educational Research and Training (NCERT) Central Board of Secondary Education (CBSE) 8th Maths 14 Part-2 Factorisation 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).
 Q20. CBSE Class 8 Maths Factorisation Mcq The value of 0.645 × 0.645 + 2 × 0.645 × 0.355 + 0.355 × 0.355 is A. 1 B. 0 C. -1 D. 2.
Ans: 1
Hint:
Value = (0.645 + 0.355)² = (1)² = 1.