Section 5.5
The Greatest Common Factor and
Factoring by Grouping
Objectives:
• Identify the Greatest Common Factor ﴾GCF﴿
• Factor out the GCF of a polynomial's terms
• Factor polynomials by grouping
Vocabulary:
What is a Factor?
Greatest Common Factor:
What is the process of Factoring?
Writing Factors:
Factor:
What is the Greatest Common Factor of those monomials?
Find the GCF of the following monomials.
Greatest Common Factor:
Factor out the GCF of the following polynomials:
1.﴿ Identify the GCF.
2.﴿ "Undistribute":
Greatest Common Factor:
Factor:
Check?
Greatest Common Factor:
Factor:
Factoring by Grouping:
Factor:
Factoring by Grouping:
Factor:
Factoring by Grouping:
Factor:
Is there a wrong way to group?
Factoring by Grouping:
Factor: