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