NCERT Solutions for Class 8 Maths Chapter 14 Factorisation

In this chapter, students figure out how to perform Factorisation. The topics canvassed in this chapter incorporate natural numbers and algebraic expressions, factorisation by regrouping terms, and factorisation utilising identities. The chapter likewise manages the division of algebraic expressions that incorporate a monomial division by another monomial, and also the division of a polynomial by a monomial, and so on. In this chapter, there are four exercises that contain questions covering all the topics present in the chapter.

What are the Factors?
A certain expression can be factored into the product of its factors. These factors can be algebraic expressions, variables and also numbers.

Factors of Natural Numbers
Each and every number can be expressed in the form of a product of prime factors. This is called the prime factor form.

Algebraic Expressions
An algebraic expression is the one, which is defined as the mathematical expression that consists of variables, numbers, and operations. The values of this expression are not constant.

Factors of Algebraic Expressions and Factorisation
An irreducible factor is that, which cannot be expressed further as a product of factors. Along with that, algebraic expressions can be expressed in irreducible form.

Factors of Natural Numbers
Each and every number can be expressed in the form of a product of prime factors. This is called the prime factor form.

Factorisation by Common Factors
The highest common factors are determined to factorise an algebraic expression.

Factorisation by Regrouping Terms
In some algebraic expressions, not every term may have a common factor. Therefore, to factorise those algebraic expressions, terms having common factors are grouped.

Algebraic Identities
Algebraic equations, which are true for every value of variables in them, are called algebraic identities. Algebraic identities can be used for factorisation.

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• Most appropriate guide to clearing the last-minute confusions arising out of nervousness.