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# Factoring polynomials

## on Mar 07, 2012

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## Factoring polynomialsPresentation Transcript

• Unit
• Factoring a polynomialmeans expressing it as aproduct of otherpolynomials.
• Factoring Method #1 Factoring polynomials with a common monomial factor (Using GCF)**Always look for a GCF before using any other factoring method.**
• Steps:1. Find the greatest common factor.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.
• 3 2 2Example : 6c d 12c d 3cd Step 1: GCF 3cd Step 2: Divide by GCF 3 2 2(6c d 12c d 3cd) 3cd 2 2c 4cd 1
• The answer should look like this: 3 2 2Ex: 6c d 12c d 3cd 2 3cd(2c 4cd 1)
• Factoring Method #2Factoring polynomials that are a difference of squares.
• Apply the rule... 2 2 a b (a b)(a b) 2 Ex: x 16 2 2 x 4 (x 4)(x 4)