Factorization – explanation and details

Factorization types and methods

Some times questions on factorization are asked in job exams. Such questions are set to check the analytic abilities of a candidate. Here concept of factorization is discussed and some types of factorization is explained with he help of some examples.

Factorization of algebraic, polynomial expressions- explanation and details

Let us take a number say 20. This number can be written as below;

$20=2\times2\times5$

Then 2, 2 and 5 are said to be the factors of 20. Again we can write;

$20=10\times2$

so 10 and 2 are factors of 20, Again

$20=4\times5$

here then we can say 10 and 2 are factors of 20

The same way algebraic expressions some times can be broken into their factors – breaking of an expression into its factors is called factorization.

Some algebraic expression types and there factorization methods are explained here below;

1. ka + kb + kc type expressions

2. ac+ad+bc+bd type expressions

3. $a^{2}\pm2ab+ b^{2}$ type expressions