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Integrated MATHEMATICS

Integrated MATHEMATICS. FACTORING. Factoring using gcf. Steps Find the greatest common factor (GCF) Divide the polynomial by the GCF. The quotient is the other factor. Express the polynomial as the product of the quotient and the GCF. factor. factor. factor. factor. factor.

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Integrated MATHEMATICS

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  1. Integrated MATHEMATICS FACTORING

  2. Factoring using gcf Steps • Find the greatest common factor (GCF) • Divide the polynomial by the GCF. The quotient is the other factor. • Express the polynomial as the product of the quotient and the GCF.

  3. factor

  4. factor

  5. factor

  6. factor

  7. factor

  8. Difference of two squares • There must be two terms that are both squares • Examples of squares • There must be a minus sign between the two terms

  9. Perfect squares 1² = 1 11²= 121 2² = 4 12² = 144 3² = 9 13² = 169 4² = 16 14² = 196 5² = 25 15² = 225 6² = 36 16² = 256 7² = 49 17² = 289 8² = 64 18² = 324 9² = 81 19² = 361 10² = 100 20² = 400

  10. Factoring Difference of Two SquaresFormula A2 – B2 = (A + B)(A – B)

  11. Factor Ex. 6)

  12. Factor Ex. 7)

  13. Factor Ex. 8)

  14. Factor Ex. 9)

  15. Factor Ex. 10)

  16. Factor Ex. 11)

  17. Factor Ex. 12)

  18. Factor Ex. 13)

  19. Factor. Look for GCF first! Ex. 14)

  20. Factor. Look for GCF first! Ex. 15)

  21. Factor. Look for GCF first! Ex. 16)

  22. Factoring Completely • Means to factor until factoring is no longer possible

  23. Factor.

  24. Factor.

  25. Factoring Trinomials

  26. Factoring a trinomial: • Write two sets of parenthesis, ( )( ). These will be the factors of the trinomial. 2. Think of factors of c that add up to b.

  27. Factor Example 1

  28. Factor Example 2

  29. Factor Example 3

  30. Factor Example 4

  31. Factor Example 5

  32. Factor Example 6

  33. Factor Example 7

  34. Factor Example 8

  35. Factor Example 9

  36. Factor Example 10

  37. Factor Example 11

  38. Factor Example 12

  39. Factor Example 13

  40. Factor. Look for a GCF First. • Example 14

  41. Factor. Look for a GCF First. • Example 15

  42. Factor. Look for a GCF First. • Example 16

  43. Factor. Look for a GCF First. • Example 17

  44. Factor. Look for a GCF First. • Example 18

  45. Factor. Look for a GCF First. • Example 19

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