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Factoring Polynomials

Factoring Polynomials. Factoring a polynomial means expressing it as a product of other polynomials. GCF Method. Factoring polynomials with a common monomial factor (using GCF). **Always look for a GCF before using any other factoring method. Example 1. Example 2. Example 3. Example 4.

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Factoring Polynomials

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  1. Factoring Polynomials

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

  3. GCF Method • Factoring polynomials with a common monomialfactor (using GCF). **Always look for a GCF before using any other factoring method.

  4. Example 1

  5. Example 2

  6. Example 3

  7. Example 4

  8. Example 5

  9. Example 6

  10. Example 7

  11. Difference of Squares Method • A Difference of Squares is a binomial (2 terms only) and it factors like this: *USE YOUR PERFECT SQUARES!! **REMEMBER TO CHECK FOR A GCF FIRST!!!

  12. Perfect Squares

  13. Example 1

  14. Example 2

  15. Example 3

  16. Example 4

  17. Example 5

  18. Example 6

  19. Example 7

  20. Example 8

  21. Factoring Trinomials in the form 1. Write two sets of parenthesis, ( )( ). These will be the factors of the trinomial. 2. Think of factors of c that add up to b.

  22. Trick for Remembering the Signs

  23. Example 1

  24. Example 2

  25. Example 3

  26. Example 4

  27. Example 5

  28. Example 6

  29. Example 7 Which binomial is a factor of ? • (x + 2) • (x + 8) • (x – 1) • (x + 4)

  30. Example 8 Which binomial is a factor of ? • (x - 3) • (x + 4) • (x – 12) • (x - 2)

  31. Example 9

  32. Example 10

  33. Example 11

  34. Example 12

  35. Example 13

  36. Example 14

  37. Factoring Trinomials in the form • Trial and Error • Write two sets of parenthesis ( )( ) • Find two factors of a. • Find two factors of c. • Check to see if the factors will add up to b.

  38. Example 1

  39. Example 2

  40. Example 3

  41. Example 4

  42. Example 5

  43. Example 6

  44. Example 7

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