Below you will find MCQ Questions of Chapter 14 Factorisation Class 8 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 8 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 8 Maths Chapter 14 Factorisation with answers
1. Solve: –20(x)^{4} ÷ 10(x)^{2}
(a) 1/2x
(b) x
(c) 1/2
(d) -2x^{2}
► (d) -2x^{2}
2. Divide as directed: 5 (2x + 1) (3x + 5) ÷ (2x + 1)
(a) (3x + 5)
(b) 5
(c) 5 (3x + 5)
(d) None of these
► (c) 5 (3x + 5)
3. Find and correct the errors in the following mathematical statements.
x (3x + 2) = 3x^{2} + 2
(a) x (3x + 2) = 3x^{2} + 2x
(b) x (3x + 2) = 3x^{2}
(c) x(3x + 2) = 5x^{2}+ 2x
(d) None of these
► (a) x (3x + 2) = 3x^{2} + 2x
4. Factorise: x^{2}+xy+ 8x+ 8y
(a) (x + 8) (x + y)
(b) (x + y)
(c) (x + 8)
(d) (x + 9) (x – y)
► (a) (x + 8) (x + y)
5. What are the factors of x^{2}+xy−2xz−2yz?
(a) (x−y) and (x+2z)
(b) (x+y) and (x−2z)
(c) (x−y)and (x−2z)
(d) (x+y) and (x+2z)
► (b) (x+y) and (x−2z)
6. Which of the following statements is correct?
(a) (a−4)(a−2) = a^{2}+8−6a
(b) (2p+3q)(p−q) = 2p^{2}−3q^{2}
(c) 3p^{2}/3p^{2} = 0
(d) 4(m−5) = 4m−5
► (a) (a−4)(a−2) = a^{2}+8−6a
7. Divide as directed: 52pqr (p + q) (q + r) (r + p) ÷104pq (q + r) (r + p)
(a) r(p+q)
(b) 1/2 r(p+q)
(c) 1/2
(d) None of these
► (b) 1/2 r(p+q)
8. Factorise: 10x^{2} − 18x^{3} + 14x4
(a) 2x^{2}
(b) 2x^{2}(9x^{2}−5x+7)
(c) (7x^{2}−9x+5)
(d) 2x^{2}(7x^{2}−9x+5)
► (d) 2x^{2}(7x^{2}−9x+5)
9. Factorise: x4− (x−z)4
(a) (2x^{2}− 2xz+z^{2})
(b) (2x−z) (2x^{2}− 2xz+z^{2})
(c) z(2x−z) (2x^{2}− 2xz+z^{2})
(d) None of these
► (c) z(2x−z) (2x^{2}− 2xz+z^{2})
10. Choose the factors of 15x^{2}−26x+8 from the following.
(a) (3x−4),(5x+2)
(b) (3x−4),(5x−2)
(c) (3x+4),(5x−2)
(d) (3x+4),(5x+2)
► (b) (3x−4),(5x−2)
11. How many factors does (x9−x) have?
(a) 5
(b) 4
(c) 2
(d) 9
► (a) 5
12. Which of the following is quotient obtained on dividing –18 xyz^{2 }by –3 xz?
(a) 6 Yz
(b) –6 yz
(c) 6 xy^{2}
(d) 6 xy
► (a) 6 Yz
13. Amrit and Pankaj expanded (x−5)^{2}. Amrit's answer is x^{2}−25 and Pankaj's answer is x^{2}−10x+25. Which of the following statements is correct?
(a) Amrit's answer is correct.
(b) Pankaj's answer is wrong.
(c) Both got correct answer.
(d) Pankaj's answer is correct.
► (d) Pankaj's answer is correct.
14. Divide as directed: 5 (2x + 1) (3x + 5) ÷ (2x + 1)
(a) 5 (3x + 5)
(b) (3x + 5)
(c) 5
(d) None of these
► (a) 5 (3x + 5)
15. Find and correct the errors in the following mathematical statements. 2x + 3y = 5xy
(a) 2x + 3y = 6xy
(b) 2x + 3y = 2x - 3y
(c) 2x + 3y = 2x + 3y
(d) None of these
► (c) 2x + 3y = 2x + 3y
16. Which of the following is one of the factors of x^{4}+4?
(a) x^{2}+2
(b) (x^{2} + 2 + 2x)(x^{2} + 2 - 2x)
(c) x^{2}−2
(d) x^{2}+2x−2
► (b) (x^{2} + 2 + 2x)(x^{2} + 2 - 2x)
17. If (x^{2}+3x+5)(x^{2}−3x+5) = m^{2}−n2, what is the value of m?
(a) x2−3x
(b) 3x
(c) x^{2}+5
(d) x^{2}+3x
► (c) x^{2}+5
18. What is the coefficient of 'a' when 9a^{2}+18a is divided by (a+2)?
(a) 18
(b) 9
(c) 1/2
(d) 2
► (b) 9
19. Factorise: p^{4}– 81
(a) (p – 3) (p + 3) (p^{2}+ 9)
(b) (p + 3) (p^{2}+ 9)
(c) (p – 3) (p + 3)
(d) None of these
► (a) (p – 3) (p + 3) (p^{2}+ 9)
20. Find and correct the errors in the following mathematical statements. x + 2x + 3x = 5x
(a) x + 2x + 3x = 7x
(b) x + 2x + 3x = 6x
(c) x + 2x + 3x = 1/2x
(d) x + 2x + 3x = 5x
► (b) x + 2x + 3x = 6x
21. Divide as directed: 26xy (x + 5) (y – 4) ÷ 13x (y – 4)
(a) 2y (x + 5)
(b) (x + 5)
(c) 2y
(d) None of these
► (a) 2y (x + 5)
22. When we factorise an expression, we write it as a ________ of factors.
(a) Product
(b) Difference
(c) Sum
(d) None of these
► (a) Product
Hope the given MCQ Questions will help you in cracking exams with good marks. These Factorisation MCQ Questions will help you in practising more and more questions in less time.