Factoring Polynomials and GCF Concepts

In this video, Arthur Morris explains how to factor polynomials by identifying the greatest common factor (GCF) and using the difference of squares rule. The video provides step-by-step examples, demonstrating how to factor expressions completely. The importance of checking for further factorization within parentheses is emphasized. The video concludes with a reminder to practice the techniques learned.

What is the first step in factoring a polynomial?

• Expand the polynomial

• Use the difference of squares rule

• Look for a common factor

• Apply the quadratic formula

What is the greatest common factor of 81 and 9W^2?

• W

• 81

• 9

• 3

What does the difference of squares rule state?

• a^2 - b^2 = a^2 - 2ab + b^2

• a^2 - b^2 = (a + b)(a - b)

• a^2 + b^2 = (a + b)^2

• a^2 + b^2 = (a - b)(a + b)

How can 9 - W^2 be factored using the difference of squares rule?

• (W + 3)(W - 3)

• (3W + 1)(3W - 1)

• (9 + W)(9 - W)

• (3 + W)(3 - W)

What is the GCF of 63U^2 and 28U?

• 63

• 7U

• U

• 7

How is 9U^2 - 4 factored using the difference of squares?

• (3U + 2)(3U - 2)

• (9U + 4)(9U - 4)

• (3U + 4)(3U - 4)

• (U + 2)(U - 2)

What should you do after factoring out the GCF?

• Stop, as the expression is fully factored

• Apply the quadratic formula

• Check if the expression can be factored further

• Multiply the factors back together