Factoring and GCF Concepts

The video tutorial explains how to factor expressions using the box method. It covers factoring two-term expressions, including those with negative coefficients, and extends to three-term expressions and trinomials. The tutorial emphasizes identifying the greatest common factor (GCF) and working backwards to verify the factored form. Each example demonstrates the process step-by-step, ensuring a clear understanding of the method.

What is the greatest common factor of 15 and 9?

• 9

• 5

• 15

• 3

In the expression 15R^4 + 9R, what is the GCF of the variable terms?

• R^4

• R^3

• R^2

• R

What is the factored form of 15R^4 + 9R using the box method?

• 15R(1 + R^3)

• 3R^4(5 + 3R)

• 5R(3R^3 + 3)

• 3R(5R^3 + 3)

What is the first step in factoring using the box method?

• Identify the GCF

• Multiply the terms

• Add the terms

• Divide the terms

What is the GCF of -2 and -6?

• -6

• 2

• -2

• 6

In the expression -2X^5 + 6Xy^2, what is the GCF of the variable terms?

• X^2

• y^2

• X

• X^5

What is the factored form of -2X^5 + 6Xy^2 using the box method?

• 2X(X^4 - 3y^2)

• -2X^5(1 + 3y^2)

• -2X^4(1 + 3y^2)

• -2X(X^4 + 3y^2)

When factoring -2X^5 + 6Xy^2, why is a negative number taken out as the GCF?

• To make the expression positive

• To simplify the expression

• Only one coefficient is negative

• Both coefficients are negative

What is the GCF of 10, 8, and 4?

• 2

• 10

• 4

• 8

In the expression 10R^5 + 8R^4 + 4R^3, what is the GCF of the variable terms?

• R

• R^5

• R^4

• R^3