Factoring and Simplifying Polynomials

This video tutorial guides viewers through the process of factoring a polynomial involving a greatest common factor (GCF) and a difference of squares. It begins with identifying the GCF in the polynomial terms, followed by factoring it out. The tutorial then explains how to recognize and apply the difference of squares to complete the factorization. The video provides a step-by-step approach to ensure a comprehensive understanding of the factoring process.

What is the first step in factoring a polynomial involving a GCF?

• Identify the difference of squares

• Look for the greatest common factor

• Rewrite as a perfect square

• Divide by the leading coefficient

Which number is the greatest common factor of 72 and 50?

• 4

• 6

• 8

• 2

After factoring out the GCF, what is the next step?

• Add the terms

• Square each term

• Multiply the terms

• Simplify by dividing each term by the GCF

What is the result of dividing 72 by 2?

• 36

• 40

• 34

• 38

What is the result of dividing 50 by 2?

• 25

• 20

• 22

• 24

What is the next step after simplifying the polynomial?

• Multiply by a factor

• Add a constant term

• Subtract a constant term

• Recognize the difference of squares

How is 36 U squared rewritten as a perfect square?

• 12U squared

• 9U squared

• 6U squared

• 6U quantity squared

What is the purpose of rewriting the polynomial as a difference of squares?

• To prepare for addition

• To enable factoring using a specific formula

• To simplify the expression

• To prepare for multiplication

What should be done after recognizing the difference of squares?

• Subtract a constant term

• Multiply by a factor

• Use the difference of squares formula

• Add a constant term

What is the square of 6U?

• 24U squared

• 36U squared

• 12U squared

• 18U squared