Factoring and GCF Problems

This video tutorial covers the concepts of Greatest Common Factor (GCF) and the difference of two squares in algebra. It begins with an introduction to factoring, explaining it as the reverse process of multiplication. The tutorial provides examples of factoring using GCF, demonstrating how to identify and extract the largest common factor from polynomial terms. It then introduces the concept of the difference of two squares, explaining how to factor expressions that fit this pattern. The video includes multiple examples to illustrate these concepts, ensuring a comprehensive understanding of factoring techniques.

What does GCF stand for in the context of this lesson?

• Greatest Common Fraction

• Greatest Common Factor

• Greatest Common Function

• Greatest Common Formula

What is the opposite process of multiplying polynomials?

• Subtracting

• Adding

• Factoring

• Dividing

When factoring, what is the largest thing you can divide out of 5x + 20?

• 20

• 5

• x

• 10

What is the GCF of the terms 12x and 8?

• 6

• 4

• 8

• 2

What is the GCF of 4x^3y^2 and 10x^5y^3?

• 2x^3y^2

• 4x^3y^2

• 2x^5y^3

• 10x^5y^3

What is the GCF of 4x^3y^2 and 10x^5y^3?

• 2x^5y^3

• 10x^5y^3

• 4x^3y^2

• 2x^3y^2

What is the GCF of 4x^3y^2 and 10x^5y^3?

• 2x^5y^3

• 4x^3y^2

• 2x^3y^2

• 10x^5y^3

What is the GCF of 4x^3y^2 and 10x^5y^3?

• 2x^3y^2

• 2x^5y^3

• 10x^5y^3

• 4x^3y^2

What is the GCF of 4x^3y^2 and 10x^5y^3?

• 2x^3y^2

• 4x^3y^2

• 10x^5y^3

• 2x^5y^3

What is the GCF of 4x^3y^2 and 10x^5y^3?

• 4x^3y^2

• 2x^5y^3

• 10x^5y^3

• 2x^3y^2