# Factoring PolynomialsPage 1

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Slide 1 ## Factoring Polynomials

Slide 2 A “Difference of Squares” is a binomial (*2 terms only*) and it factors like this:

Slide 3 Factoring a polynomial means expressing it as a product of other polynomials.

Slide 4 Factoring polynomials with a common monomial factor (using GCF).

**Always look for a GCF before using any other factoring method.

Factoring Method #1

Slide 5 Steps:

1. Find the greatest common factor (GCF).

2. Divide the polynomial by the GCF. The quotient is the other factor.

3. Express the polynomial as the product of the quotient and the GCF.

Slide 6 Step 1:

Step 2: Divide by GCF

Slide 7 The answer should look like this:

Slide 8 Factor these on your own looking for a GCF.

Slide 9 Factoring polynomials that are a difference of squares.

Factoring Method #2

Slide 10 Slide 11 Here is another example:

Slide 12 Slide 13 Sum and Difference of Cubes:

Slide 14 Rewrite as cubes

Write each monomial as a cube and apply either of the rules.

Slide 15 Rewrite as cubes

Slide 16 Factoring Method #3

Slide 17 Next

2. Product of first terms of both binomials

must equal first term of the trinomial.

1. Write two sets of parenthesis, ( )( ). These will be the factors of the trinomial.

Slide 18 Go to page:
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