Factoring Polynomials.

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Factoring Polynomials.

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Presentation transcript:

Factoring Polynomials

Factoring Technique #3 Factoring By Grouping for polynomials with 4 or more terms

Factoring By Grouping 1. Group the first set of terms and last set of terms with parentheses. 2. Factor out the GCF from each group so that both sets of parentheses contain the same factors. 3. Factor out the GCF again (the GCF is the factor from step 2).

Step 2: Factor out GCF from each group Example 1: Step 1: Group Step 2: Factor out GCF from each group Step 3: Factor out GCF again

Example 2:

Factoring polynomials that are a difference of squares. Factoring Method #4 Factoring polynomials that are a difference of squares.

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

To factor, express each term as a square of a monomial then apply the rule...

Here is another example:

Try these on your own:

Answers 1. 2. 3.

Homework Factor by grouping 1. xy+2y+3x+6 2. 4x3+2x2-2x-2 3. 2x3-3x2-2x+3 4. 2x2+ay-ax2-2y 5. 24x3-6x2+8x-2 6. 9x3+36x2-4x-16 Factor by finding the difference of perfect squares 1. x2-81 2. y2-z2 3. 36x2-1 4. 1-4z2 5. 25m2-9n2 6. x6-36 7. y4-144 8. x8-y10 9. x2n-1 10. y2-1