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I. Review Distribute (aka F.O.I.L.)

I. Review Distribute (aka F.O.I.L.) II. Review Trial and Error III. Review Grouping III. Factoring Quadratics. I. Review Distribute (aka F.O.I.L.). ( x + 3 ) (x + 2 ). First. ( x + 3 ) (x + 2 ). x 2. First. Outside. ( x + 3 ) (x + 2 ). x 2 + 2x. First. Outside.

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I. Review Distribute (aka F.O.I.L.)

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  1. I. Review Distribute (aka F.O.I.L.)II. Review Trial and ErrorIII. Review GroupingIII. Factoring Quadratics

  2. I. Review Distribute (aka F.O.I.L.)

  3. ( x + 3 ) (x + 2 )

  4. First ( x + 3 ) (x + 2 ) x2

  5. First Outside ( x + 3 ) (x + 2 ) x2+ 2x

  6. First Outside ( x + 3 ) (x + 2 ) Inside x2+ 2x + 3x

  7. First Outside ( x + 3 ) (x + 2 ) Inside Last x2+ 2x + 3x + 6

  8. First Outside ( x + 3 ) (x + 2 ) Inside Last x2+ 2x + 3x + 6 x2+ 5x + 6

  9. ( 3x + 2 ) (2x + 1 )

  10. First ( 3x + 2 ) (2x + 1 ) 6x2

  11. First Outside ( 3x + 2 ) (2x + 1 ) 6x2+ 3x

  12. First Outside ( 3x + 2 ) (2x + 1 ) Inside 6x2+ 3x + 4x

  13. First Outside ( 3x + 2 ) (2x + 1 ) Inside Last 6x2+ 3x + 4x + 2

  14. First Outside ( 3x + 2 ) (2x + 1 ) Inside Last 6x2+ 3x + 4x+ 2 6x2+ 7x + 2

  15. II. Review Trial and Error

  16. Factoring Steps for Trial and Error x2 + 5x + 6

  17. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6

  18. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6 (1x ____ ) (1x ____ )

  19. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6 (1x – 1) (1x + 6 )

  20. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6 (1x – 1) (1x + 6 ) F.O.I.L. to check answer

  21. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6 (1x – 1) (1x + 6 ) F.O.I.L. to check answer (1x – 1) (1x + 6 ) = x2 + 5x – 6 Error, Try Again

  22. Factoring Steps for Trial and Error x2 + 5x + 6

  23. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6

  24. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6 (1x + 2) (1x + 3) F.O.I.L. to check answer

  25. Factoring Steps for Trial and Error x2 + 5x + 6 1x2 + 5x + 6 (1x + 2) (1x + 3) F.O.I.L. to check answer (x + 2) (x + 3) = x2 + 5x + 6 Correct!

  26. Factoring Steps for Trial and Error 3x2 – 4x – 4

  27. Factoring Steps for Trial and Error 3x2 – 4x – 4 (3x + 1) (1x – 4 ) F.O.I.L. to check answer

  28. Factoring Steps for Trial and Error 3x2 – 4x – 4 (3x + 1) (1x – 4 ) F.O.I.L. to check answer (3x + 1) (1x – 4) = 3x2 – 11x – 4 Error, Try Again

  29. Factoring Steps for Trial and Error 3x2 – 4x – 4

  30. Factoring Steps for Trial and Error 3x2 – 4x – 4 (3x – 1) (1x + 4) F.O.I.L. to check answer

  31. Factoring Steps for Trial and Error 3x2 – 4x – 4 (3x – 1) (1x + 4) F.O.I.L. to check answer (3x – 1) (1x + 4) = 3x2 + 11x – 4 Error, Try Again

  32. Factoring Steps for Trial and Error 3x2 – 4x – 4

  33. Factoring Steps for Trial and Error 3x2 – 4x – 4 (3x + 2) (1x – 2 ) F.O.I.L. to check answer

  34. Factoring Steps for Trial and Error 3x2 – 4x – 4 (3x + 2) (1x – 2 ) F.O.I.L. to check answer (3x + 2) (1x – 2) = 3x2 – 4x – 4 Correct!

  35. Factoring Steps for Trial and Error – 6x2 – x + 2

  36. Factoring Steps for Trial and Error – 6x2 – x + 2 Wow! How are we going to factor this??

  37. Factoring Steps for Trial and Error – 6x2 – x + 2 Wow! How are we going to factor this?? Well, let’s try another method and see if that will help with this problem. We can try Factoring by Grouping.

  38. III. Factoring by Grouping

  39. Factoring Steps for Grouping x2 + 5x + 6

  40. Factoring Steps for Grouping x2 + 5x + 6 x2 + 2x + 3x + 6

  41. Factoring Steps for Grouping x2 + 5x + 6 x2 + 2x + 3x + 6 x2 + 2x + 3x + 6

  42. Factoring Steps for Grouping x2 + 5x + 6 x2 + 2x + 3x + 6 x2 + 2x + 3x + 6 x(x + 2) +3(x + 2)

  43. Factoring Steps for Grouping x2 + 5x + 6 x2 + 2x + 3x + 6 x2 + 2x + 3x + 6 x(x + 2) +3(x + 2) (x + 2) (x + 3)

  44. Factoring Steps for Grouping 3x2 – 4x – 4

  45. Factoring Steps for Grouping 3x2 – 4x – 4 3x2 – 6x + 2x – 4

  46. Factoring Steps for Grouping 3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4

  47. Factoring Steps for Grouping 3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4 3x(x – 2) 2(x – 2)

  48. Factoring Steps for Grouping 3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4 3x(x – 2) + 2(x – 2) (x – 2) (3x + 2)

  49. Factoring Steps for Grouping 3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4 3x(x – 2) 2(x – 2) (x – 2) (3x + 2) Or it can be factored this way . . .

  50. Factoring Steps for Grouping 3x2 – 4x – 4

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