NCERT Class 8 Mathematics Chapter 14 Factorisation CBSE Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2022)
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Factorisation
Factorisation of Algebraic Expression
 When we factorise an algebraic expression, we write is as a product of factors. These factors may by numbers, algebraic variables or algebraic expressions
 The expression it can be written as a product of factors.
The factors 2,3, x and are irreducible factors of .
Method of Factorisation
Name  Working 
Common factor method 

Factorisation by regrouping terms 

Factorisation using identities  Use the below identities to factorise it 
Factorisation of the form  Given
Or Or Or which are the required Factors. Example Now and 
Division of Algebraic Expression
Division of algebraic expression is performed by factorisation of both the numerator and denominator and then cancelling the common factors.
Steps of division
 Identify the numerator and denominator
 Factorise both the numerator and denominator by the technique of factorisation using common factor, regrouping, identities and splitting
 Identify the common factor between numerator and denominator
 Cancel the common factors and finalize the result
Example
Here dividend
Divisor
Quotient
So, we have
In general, however, the relation is
When reminder is not zero