Factoring Polynomial with common factor

G-8 Math Quarter 1 Module 1 Week 1

Factoring Polynomial with common factor

Factoring by Greatest Common Monomial Factor

One of the factoring techniques that you are going to learn in this module is factoring by greatest common monomial factor (GCMF). Concepts such as factors, factoring, and prime factorization have been discussed and have been used in many instances in your previous math classes. Let us try to reactivate what you previously learned by answering the activity below.

Recall that factor is a number or algebraic expression that divides another number or expressions evenly, that is with no remainder. 

Examples:

1. The factors of 4 are 1, 2, and 4 as these can divide 4 evenly.

2. The factors of 2𝑥² are 1, 2, 𝑥, x² , 2𝑥, 2𝑥² as these can divide 2𝑥² evenly. 

Multiple Choice

1. What is the Greatest Common Factor of 24 and 54?

• 1

• 2

• 3

• 6