Important Questions for Class 8 Chapter 14-Factorization

The important questions that we have provided are prepared by our subject experts after carefully analysing the exam pattern. It also adheres completely to the current CBSE board syllabus. Therefore, this set of important questions will help you in doing a complete revision in Maths and getting good scores. Hurry up! Download your free PDF now!

Important questions based on NCERT syllabus for Class 8 Chapter 14-Factorization:

Question 1: Divide
i) 4x^3 + 6x^2 + 12x by 2x
ii)4a^3 + 8a + 20a^2 by 4a
Solution:
i)4x^2 + 6x^2 + 12x by 2x
4x^3 + 6x^2 + 12x = 2x(2x^2 + 3x + 6)
Dividing above expression by 2x gives 2x^2 + 3x + 6

ii) 4a^3 + 8a + 20a^2 by 4a
4a^3 + 8a + 20a^2 = 4a(a^2 + 5a + 2)
Dividing above expression by 4a gives a^2+5a+2.

Question 2: Factorize 15x + 3y + xy + 45 and give its value for x = 2 and y = 3.
Solution:
15x + 3y + xy + 45
Regrouping
xy + 3y + 15x + 45
=(x+3)(15+y)
x = 2, y = 3
= (2+3)(15+3)
= 5 × 18
= 90

Question 3: Factorize and then divide 5x^3 + 16x^2 + 12x by (x + 2). Find the value of 5x^3 + 16x^2 + 12x for x = 3.
Solution:
5x^3 + 16x^2 + 12x
= 5x^3 + 10x^2 + 6x^2 + 12x
= 5x^2(x + 2) + 6x(x + 2)
= (5x^2 + 6x)(x + 2)
Dividing above expression by (x+2) gives 5x^2+6x
Substitute x = 3 in theexpression 5x^3 + 16x^2 + 12x, we get,
= 5(3)^3 + 16(3)^2 + 12(3)
= 315