If you’re looking for a way to enhance your Class 8 Maths, then look no further than the NCERT MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers. The MCQ Questions for Class 8 Maths with Answers are aligned to all topics covered so it will be helpful when preparing for your exams, no matter what subject you’re studying! Don’t forget about scoring maximum points during exam preparation by using these free Class 8 Maths Chapter 14 Factorisation Objective Questions.
Factorisation Class 8 MCQs Questions with Answers
What are you waiting for? Get all the answers to Class 8 Maths Chapter 14 MCQs! It’s time that students power up and start practicing these MCQ Questions of Factorisation Class 8 with answers. The best way of doing so would be solving them yourself in order not only to know which answer is correct but also to understand why each solution works as well.
Question 1.
Factorise: 4y2 −12y + 9
(a) (7y− 5)2
(b) (5y− 3)2
(c) (2y− 5)2
(d) (2y− 3)2
Answer
Answer: (d) (2y− 3)2
Question 2.
Factorise 6xy – 4y + 6 – 9x.
(a) (3x – 2) (2y – 3)
(b) (3x – 2)
(c) (2y – 3)
(d) (2x – 3) (3y – 2)
Answer
Answer: (a) (3x – 2) (2y – 3)
Question 3.
Which of the following is quotient obtained on dividing –18 xyz2 by –3 xz?
(a) 6 yz
(b) –6 yz
(c) 6 xy2
(d) 6 xy
Answer
Answer: (a) 6 yz
Question 4.
Factorize x2 + 8x + 12
(a) (x + 2)(x + 6)
(b) (x + 3)(x + 4)
(c) 3x + 12
(d) 3x – 12
Answer
Answer: (a) (x + 2)(x + 6)
Question 5.
Factorise: x2+xy+ 8x+ 8y
(a) (x + 8) (x + y)
(b) (x + y)
(c) (x + 8)
(d) (x + 9) (x – y)
Answer
Answer: (a) (x + 8) (x + y)
Question 6.
Find and correct the errors in the following mathematical statements. x (3x + 2) = 3x2 + 2
(a) x (3x + 2) = 3x2 + 2x
(b) x (3x + 2) = 3x2
(c) x(3x + 2) = 5x2+ 2x
(d) none of these
Answer
Answer: (a) x (3x + 2) = 3x2 + 2x
Question 7.
Find the common factors of 2y, 22xy.
(a) 2y
(b) 2
(c) 22
(d) y
Answer
Answer: (a) 2y
Question 8.
Divide as directed: 5 (2x + 1) (3x + 5) ÷ (2x + 1)
(a) 5 (3x + 5)
(b) (3x + 5)
(c) 5
(d) none of these
Answer
Answer: (a) 5 (3x + 5)
Question 9.
The common factor of a2m4 and a4m2 is
(a) a4m4
(b) a2m2
(c) a2m4
(d) a4m2
Answer
Answer: (b) a2m2
Question 10.
Amrit and Pankaj expanded (x−5)2. Amrit’s answer is x2−25 and Pankaj’s answer is x2−10x+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.
Answer
Answer: (d) Pankaj’s answer is correct.
Question 11.
When we factorise an expression, we write it as a ________ of factors.
(a) product
(b) difference
(c) sum
(d) none of these
Answer
Answer: (a) product
Question 12.
Divide the given polynomial by the given monomial: (5x2− 6x) ÷ 3x
(a) (5x – 6)
(b) \(\frac { 1 }{ 3 }\)
(c) \(\frac { 1 }{ 3 }\)(5x – 6)
(d) none of these
Answer
Answer: (c) \(\frac { 1 }{ 3 }\)(5x – 6)
Question 13.
How many factors does (x9−x) have?
(a) 5
(b) 4
(c) 2
(d) 9
Answer
Answer: (a) 5
Question 14.
What are the factors of x2+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)
Answer
Answer: (b) (x+y) and (x−2z)
Question 15.
Divide as directed: 52pqr (p + q) (q + r) (r + p) ÷104pq (q + r) (r + p)
(a) r(p+q)
(b) \(\frac { 1 }{ 2 }\) r(p+q)
(c) \(\frac { 1 }{ 2 }\)
(d) none of these
Answer
Answer: (b) \(\frac { 1 }{ 2 }\) r(p+q)
Question 16.
Choose the factors of 15x2−26x+8 from the following.
(a) (3x−4),(5x+2)
(b) (3x−4),(5x−2)
(c) (3x+4),(5x−2)
(d) (3x+4),(5x+2)
Answer
Answer: (b) (3x−4),(5x−2)
Question 17.
Solve: –20(x)4 ÷ 10(x)2
(a) \(\frac { 1 }{ 2 }\)x
(b) x
(c) \(\frac { 1 }{ 2 }\)
(d) -2x2
Answer
Answer: (d) -2x2
Question 18.
Divide as directed: 26xy (x + 5) (y – 4) ÷ 13x (y – 4)
(a) 2y (x + 5)
(b) (x + 5)
(c) 2y
(d) None of these
Answer
Answer: (a) 2y (x + 5)
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