How to divide out the GCF to factor a polynomial to higher powers

The video tutorial explains the process of factoring a polynomial expression by identifying the greatest common factor (GCF). It begins with an introduction to factoring, followed by an explanation of the expression to be factored. The tutorial then guides viewers through identifying the GCF of the terms and using it to factor the expression. Finally, it demonstrates how to derive the final factored form of the polynomial.

What is the primary goal of factoring an expression?

• To add terms together

• To rewrite it as a product

• To subtract terms

• To divide it by a constant

Which of the following is the greatest common factor of the numbers 2, 10, and 16?

• 4

• 3

• 2

• 5

What is the largest power of P that divides P^5, P^4, and P^3?

• P^3

• P^5

• P^2

• P^4

After finding the GCF, what is the next step in simplifying the expression?

• Add the GCF to each term

• Divide each term by the GCF

• Subtract the GCF from each term

• Multiply each term by the GCF

What is the final factored form of the expression given in the tutorial?

• 2P^3 * (P^2 - 5P + 8)

• P^3 * (2P^2 - 5P + 8)

• 2P^3 * (P^2 + 5P - 8)

• P^3 * (2P^2 + 5P - 8)