Factoring the GCF from an Algebraic Expression

The video tutorial explains how to factor algebraic expressions using the greatest common factor (GCF). It begins by defining GCF and its significance in finding common factors between terms. The tutorial then demonstrates how to identify factor pairs for the terms in an expression and determine the GCF. Using an area model, the video shows how to factor out the GCF and find the second factor. The process is verified using the distributive property to ensure accuracy. The tutorial concludes with a summary of the steps involved in factoring using the GCF.

What does GCF stand for in the context of factoring?

• Greatest Constant Factor

• Greatest Common Factor

• General Common Factor

• Greatest Coefficient Factor

Which of the following is a factor pair of 6?

• 2 and 4

• 3 and 5

• 2 and 3

• 1 and 7

What is the greatest common factor of 6x and 15?

• 6

• 2

• 3

• 5

In the expression 6x + 15, what is the second factor after factoring out the GCF?

• 2x + 5

• 2x + 3

• 3x + 5

• 3x + 2

How can you verify that the expression has been factored correctly?

• By multiplying the coefficients

• By subtracting the factors

• By using the distributive property

• By adding the factors