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NCERT Solutions for Class 8 Maths Chapter 14 Factorisation

NCERT Solutions for Class 8 Maths Chapter 14 Factorisation help you understand all the concepts of the chapter in depth. The askIITians Maths experts have created these step by step NCERT Class 8 Maths Solutions to give you a complete idea of how to approach factorisation questions in the exam. The solutions are based on the latest CBSE syllabus and exam guidelines and include clear explanations for your better understanding. You can download the NCERT solutions at any time and refer to them while you study. 

Many times students get confused in which identity to apply to factorise a given algebraic expression or how to regroup the algebraic expressions and factorise them. This is where our free NCERT Solutions for Class 8 Maths Chapter 14 Factorisation can be used. With just one glance at them, you can find out your mistakes in problem-solving, learn how to apply the concept of factorisation, and resolve your doubts. On this page, you can find the exercise-wise downloadable links for NCERT Solutions for Class 8 Maths Chapter 14 Factorisation. 

About NCERT Class 8 Maths Chapter 14 Factorisation Solutions 

You have already learned how to find the prime factors of a number or how to write a number in prime factor format. In Class 8, you learn how to write algebraic expressions in the form of factors. Given below are some important points related to the chapter that will help you solve the NCERT exercises of Factorisation chapter quickly. 

Factorisation of Algebraic Expressions: 

  • An algebraic expression can be written as a product of numbers, algebraic variables or even smaller algebraic expressions. This is known as factorisation of algebraic expressions. 
  • For example, (x+y) (2x+3), 3xy, 5(x+1)(x+2), are algebraic expressions in factor form. However, x2 + 2xy, x2 + 5x + 12 are algebraic expressions that are not in factor form. 

Finding Factors of an Algebraic Expression:

  • Method of common factors: 
    • For example, to factorise 3y + 6 we can take 3 as the common term. So, 3y+6 = 3(y+6). So, factorisation of 3y+6 = 3 (y+6) 
    • In this method, you have to find the common terms in the algebraic expression and write each term as a product of irreducible factors. 

 

  • Method of regrouping terms: ​
    • In this method, you have to rearrange the algebraic expression so that you can convert it into factored form. 
      For example, 6xy – 4y + 6 – 9x. 
      Here you can rearrange the terms as 6xy - 4y -9x + 6
      Now, taking common factor, we get
      2y (3x - 2) - 3 (3x - 2)
      (2y - 3) (3x - 2)
  • Using identities for factorisation:​
    • (a + b)2 = a2 + 2ab + b2
    • (a - b)2 = a2 - 2ab + b2
    • (a + b) (a – b) = a2 – b2
    • (x + a) (x + b) = x2 + (a + b) x + ab

Division of algebraic expressions:

  • You can divide an algebraic expression by a monomial by simplifying the algebraic expression
  • You can divide a polynomial by a monomial by converting the polynomial into factored form and finding the common term 
  • You can also use cancellation method to divide a polynomial by a monomial 
  • You can divide a polynomial by a polynomial by matching the factors of the dividend polynomial as the divisor polynomial
  • You may also use the algebraic identities in division of polynomials

Download Free NCERT Solutions for Class 8 Maths Chapter 14 Factorisation

NCERT Class 8 Maths Chapter 14 Factorisation includes 4 exercises and a total of 33 questions. Each exercise of the chapter is important as it strengthens your conceptual understanding about factorisation of algebraic expressions. You can download the askIITians NCERT Solutions for Class 8 Maths Chapter 14 Factorisation from the links given below:

NCERT Class 8 Maths Chapter 14 Ex 14.1 Solutions - 3 Questions

NCERT Class 8 Maths Chapter 14 Ex 14.2 Solutions - 5 Questions

NCERT Class 8 Maths Chapter 14 Ex 14.3 Solutions - 5 Questions

NCERT Class 8 Maths Chapter 14 Ex 14.4 Solutions - 20 Questions

NCERT Class 8 Maths Chapter 14 Ex 14.1

The first exercise of this chapter is based on factorisation of algebraic expressions by finding the common terms and regrouping the terms of the algebraic expressions. There are three questions in this exercise and all of them have been solved in a stepwise manner by askIITians experts for you. 

NCERT Class 8 Maths Chapter 14 Ex 14.2 

The second exercise of Class 8 Maths Factorisation Chapter is based on the factorisation of algebraic expressions using algebraic identities. There are 5 questions in this exercise and in each question it is important to understand how to apply the right algebraic identity based on the question. Cross check your answers for this exercise from our free NCERT Class 8 Maths Factorisation solutions. 

NCERT Class 8 Maths Chapter 14 Ex 14.3

This exercise is based on division of algebraic expressions. There are 5 questions in this exercise where you have to apply the various methods of dividing two algebraic expressions. Many students face problems in solving this exercise especially. This is why you must keep our NCERT Class 8 Maths Solutions handy while solving this exercise. 

NCERT Class 8 Maths Chapter 14 Ex 14.4 

This is an interesting exercise as in some questions you have to find the error in the given statements. In some questions you have to substitute a given value of x and find the error in the question. It will be fun to solve this exercise and in case you face any trouble, just refer to our NCERT Solutions. 

NCERT Solutions for Class 8 Maths Chapter 14 Factorisation FAQs

  1. What are the main topics covered in NCERT Solutions for Class 8 Maths Chapter 14 Factorisation? 

The main topics covered in NCERT Class 8 Maths Chapter 14 Factorisation Solutions are:

  • Factorisation of algebraic expressions
  • Division of algebraic expressions
  • Using algebraic identities to factorise algebraic expressions
  1. Why are NCERT Class 8 Maths Chapter 14 Factorisation Solutions important for students? 

NCERT Solutions are a self-explanatory guide for students that help them solidify their conceptual understanding of the chapter. They help students in exam preparation and also in revising the whole chapter easily. Students can download these solutions for free and learn at their own pace. 

  1. Does askIITians provide NCERT extra questions for Chapter 14 Factorisation? 

Yes, our Math experts have created Factorisation extra questions based on the previous year questions and the latest exam pattern for Class 8 Maths. Download them today and start practising. 


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