Factorization

Factorisation of Class 7

Prime Factorization 

  • 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.

e.g

product factorisation

I. Factorisation when a common monomial factor occurs in each term       

Method

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

Factorization

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.

factorization

factorization

factorization perfect square

factorization perfect cube

factorization quadratic equation

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