Factoring GCF in Pre-Algebra

This video tutorial by Mrs. Man covers the concept of factoring using the greatest common factor (GCF). It begins with an introduction to factoring as reverse multiplication and explains how to undo distribution. The tutorial provides steps to find the GCF and demonstrates the process with several examples. Students are encouraged to practice with problems provided in the video, reinforcing their understanding of factoring and GCF.

What is factoring compared to in the video?

• Subtraction

• Division

• Addition

• Multiplication

What is the first step in factoring using the greatest common factor?

• Rewrite the expression

• Determine the greatest common factor

• Multiply the terms

• Simplify the expression

If you have the terms 6x^2 and 15x, what is their greatest common factor?

• 2x

• 3x

• 6x

• 15x

What remains in the parentheses after factoring out the GCF from 6x^2 + 15x?

• 6x + 15

• 2x + 3

• 3x + 5

• 2x + 5

What is the GCF of 18x^2 and 9x?

• 18x

• 9x

• 1x

• 3x

When factoring 12x^2 - 4x, what is the GCF?

• 4x

• 12x

• 6x

• 2x

What is the result of factoring 28x using the GCF 7x?

• 7x

• 28x

• 1x

• 4x

What is the GCF of 12x^3 and 4x^2?

• 4x^3

• 12x^2

• 12x^3

• 4x^2

What is the GCF of 36 and 18?

• 12

• 6

• 36

• 18

What is the final factored form of 36x^2 - 18x?

• 36x(2x + 1)

• 18x(2x + 1)

• 36x(2x - 1)

• 18x(2x - 1)