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FACTORING BINOMIALS

FACTORING BINOMIALS. Factoring Binomials (4 Possibilities). • GCF (Greatest Common Factor) • Difference of Squares •Sum or Difference of Cubes • Prime (Not Factorable). If a GCF exists, simply factor it out.

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FACTORING BINOMIALS

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  1. FACTORINGBINOMIALS

  2. Factoring Binomials(4 Possibilities) • GCF (Greatest Common Factor) • Difference of Squares •Sum or Difference of Cubes • Prime (Not Factorable)

  3. If a GCF exists, simply factor it out.

  4. 2nd PossibilityDIFFERENCE OF 2 SQUARESIf both terms in the binomial are squares and they are subtracted, a Simple Formula will give you the answer.

  5. Example 1) The Difference of Squares Formula is Find a and b, then plug them into the formula.

  6. Examples of Diff. Of Squares

  7. Recognizing Monomial Squares Numbers that are perfect squares are: 1, 4, 9, 16, 25, 36… Variables that are perfect squares are: (Any even powered variable is a perfect square) Monomials that are perfect squares are: 2x2 Check this picture out. It shows why any even powered Variable is a perfect square. 2x2 4x4

  8. Try These

  9. 3nd PossibilitySUM or DIFFERENCE OF 2 CUBES If both binomials are cubes and they are added

  10. If both binomials are cubes and they are subtracted To solve sum and difference of two cubes, simply solve for a and b. Then plug into the correct formula.

  11. 1. Factor completely a b a = 3x b = 5 2. Factor completely GCF FIRST! a = x b = 4

  12. 4th and last possibility when trying to factor a binomial If the binomial does not have a GCF & is not a Diff. Of Squares , Diff. of Cubes, or Sum of Cubes PRIME & NOT FACTORABLE

  13. Examples of Prime Binomials

  14. Which binomials are Prime?

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