Factorisation of Class 7
Factors: When an algebraic expression can be written as the predict of two or more expression, then each of these expressions is called a factor of the given expression.
Factorisation: The process of finding two or more expressions whose product is the given expression is called factorisation.
I. Factorisation when a common monomial factor occurs in each term
Step 1. Find the HCF of all the terms of the given expression
Step 2. Divide each term of the given expression by this HCF.
Step 3. Write the given expression as the product of this HCF and the quotient obtained in step 2.
II. Factorisation when a binomial common
METHOD of factorization
- Step: Find the common binomial.
- Step: Write the given expression as the product of this binomial and the quotient obtained on dividing the given expression by this binomial
The process of writing a given expression as the product of two or more factors is called factorization.
Each expression occurring in the product is called a factor of the given expression.
Before taking up the techniques of factorization, it is advisable to review the identities given below.