Factoring Techniques: GCF and Grouping Methods

This video tutorial covers the process of factoring polynomials using the distributive property. It begins with an introduction to factoring, focusing on identifying the greatest common factor (GCF) in binomials and trinomials. The tutorial then provides step-by-step instructions for factoring these expressions, followed by practice problems to reinforce learning. The video concludes with a detailed explanation of factoring by grouping, a method used for four-term polynomials, highlighting the importance of identifying common factors and ensuring correct sign usage.

What is the first step in factoring a binomial or trinomial?

• Identify the smallest common factor

• Combine like terms

• Identify the greatest common factor

• Distribute the terms

What is the GCF of 10X and -15?

• 2

• 15

• 5

• 10

When factoring 24X and 36X^3, what is the GCF?

• 24X

• 36X

• 6X

• 12X

In the trinomial 6, 24X, and 36X^3, what is the GCF?

• 12

• 6

• 24

• 36

What is the GCF of 64 and 40?

• 32

• 16

• 8

• 4

What is the GCF of 4D^2 and 16?

• 2

• 4

• 8

• 16

What is the GCF of 75 and 60?

• 5

• 10

• 15

• 20

What is the first step in factoring by grouping?

• Combine like terms

• Mentally separate the first two terms from the second two terms

• Distribute the terms

• Identify the GCF of the entire polynomial

In factoring by grouping, what should you do if the first term of a binomial is negative?

• Combine the terms

• Factor out a positive GCF

• Factor out a negative GCF

• Ignore the sign

What is the GCF of 12A^2 and -15AB?

• 6A

• 3A

• 4A

• 5A