Learn how to rewrite an expression by factoring out the GCF

The video tutorial explains how to identify the greatest common factor (GCF) of terms involving numbers and variables. It guides viewers through determining the largest number and variable that divide into each term, using 8X as an example. The tutorial demonstrates how to apply the GCF to rewrite expressions as products and verify the results by multiplying back to the original expression.

What is the greatest common factor of the numbers discussed in the first section?

• 4

• 32

• 84

• 8

Which variable is identified as the largest common factor in the second section?

• Y

• Z

• X

• W

What is the combined greatest common factor of the numbers and variables?

• 4X

• 8Y

• 8X

• 32X

What is the purpose of rewriting an expression using the GCF as shown in the third section?

• To find the least common multiple

• To verify the original problem

• To solve the equation

• To simplify the expression

What is the result when the expression is multiplied back after using the GCF?

• 8X^2 + X

• X^2 + 32X

• 8X + 32

• 8X^2 + 32X