Learning Objectives

By the end of this lesson, students should be able to:

1. Explain the meaning of factorization in algebra.
2. Factorise simple and complex algebraic expressions.
3. Apply factorization by common factors, grouping, and difference of two squares.
4. Solve simple algebraic equations by factorization.
5. Recognize patterns in algebraic identities.

🧾 Explanatory Notes

Factorization is the process of expressing an algebraic expression as a product of its factors.

For example:
( 6x + 9 = 3(2x + 3) )

Here, we have taken out the common factor 3.

Factorization by Common Factors

In this method, we look for a term that divides all the parts of the expression.

Example:
Factorise ( 8x + 12 )

Solution:
The common factor of 8 and 12 is 4.
So,
( 8x + 12 = 4(2x + 3) )