- Books Name
- class 8 th Mathematics Book
- CBSE Class 8
Introduction to Factorization
Type I-Factorisation by common factor
1. Consider the expression 3x3−15x2+12x.
In all the term, 3x is taken commonly outside.
2. Consider the expression 10xy+5x 3y.
Here the term 5xy is common in the expression.
Type II-Factorisation by common binomial factor
Take binomial factor from each term commonly outside.
Type III-Factorisation by grouping
Consider the expression 3m2 +mn+3mn+n2.
Let us take the common factor for the first two terms separately and take the common factor second two terms separately.
Type IV-Factorisation using identities
Use the following identities to factorise the expressions.
Type V- Factorisation of expression in Quadratic form
Procedure to factorise the expression
Step 1: Determine the coefficient a,b and c.
Step 2: Calculate the product of a and c. Product =ac and sum =b. Thus the middle coefficient is the sum and extreme product is the product value.
Step 3: Express the middle term as sum of two terms such that the sum satisfies the middle term and the product satisfies the extreme product.
Step 4: Now group the expression into two factors by taking the common expression outside.
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