Factoring polynomials

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Factoring polynomials

  1. 1. Unit
  2. 2. Factoring a polynomialmeans expressing it as aproduct of otherpolynomials.
  3. 3. Factoring Method #1 Factoring polynomials with a common monomial factor (Using GCF)**Always look for a GCF before using any other factoring method.**
  4. 4. 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.
  5. 5. 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
  6. 6. The answer should look like this: 3 2 2Ex: 6c d 12c d 3cd 2 3cd(2c 4cd 1)
  7. 7. Factoring Method #2Factoring polynomials that are a difference of squares.
  8. 8. Apply the rule... 2 2 a b (a b)(a b) 2 Ex: x 16 2 2 x 4 (x 4)(x 4)
  9. 9. Citations“Animal Number 1," © 2010 horse50, used under a Creative Commons Attribution-ShareAlike license: http://openclipart.org/people/horse50/one.svg “Mathematician," © 2006 NASA / johnny_automatic used under a Creative Commons Attribution-ShareAlike license: http://openclipart.org/people/johnny_automatic/johnny_automatic_mathematician.svg

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