1. Warm Up

2. Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

3. VOCAB

4. CUBES NumberCubed 11 28 327 464 5125 6216 7343 8512 9729 101000

5. Keep in Mind I’m trying to make this as easy as possible… I’m breaking this lesson into 3 easy parts – It could’ve been 4 but I believe we can do the zeros part already (we’ve done it in the past)

6. Warm Up

7. Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

8. Special Cases

9. Directions (Specials) Figure out what a and b are USE the awesome formula Reduce Set equal to zero (to find zeros) Solve

10. I DO (Specials)

11. WE DO (Specials)

12. YOU DO (Specials)

13. Question How do you know its going to be a sum or difference of cubes?

14. Review Today you learned how to factor a cube

15. Homework Worksheet – 6.4B (1 – 12)

16. Warm Up

17. Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

18. Factor By Grouping Look at the first 2 terms – Factor it Set equal to zero Solve

19. I DO (Grouping)

20. WE DO (Grouping)

21. YOU DO (Grouping)

22. Review Today you learned how to factor polynomials by grouping

23. Homework 6.4B (13 – 24)

24. Warm Up

25. Algebra 3 Chapter 6 Lesson 4 Factoring and Solving Polynomial Equations

26. Factor By Grouping Look at the first 2 terms – Factor it Set equal to zero Solve

27. I DO (Grouping)

28. WE DO (Grouping)

29. YOU DO (Grouping)

30. Review Today you learned how to factor polynomials by grouping

31. Homework 6.4B (13 – 24)

32. Warm Up

33. Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

34. VOCAB

35. Directions (Long Division) THIS IS EXACTLY LIKE LONG DIVISION WITHOUT A CALCULATOR Write the problem in standard form including the missing terms Look at the first term in the divisor – Find how many times that goes into the first term of the polynomial Multiply that answer times the WHOLE divisor Subtract that from the polynomial Keep going until you can’t do anymore Remainder is then written over the divisor

36. I DO (Long Division)

37. Warm Up

38. Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

39. Directions (Long Division) THIS IS EXACTLY LIKE LONG DIVISION WITHOUT A CALCULATOR Write the problem in standard form including the missing terms Look at the first term in the divisor – Find how many times that goes into the first term of the polynomial Multiply that answer times the WHOLE divisor Subtract that from the polynomial Keep going until you can’t do anymore Remainder is then written over the divisor

40. We Do (Long Division)

41. You Do (Long Division)

42. Review What did you learn to do today?

43. Homework Worksheet – 6.5B (1 – 8)

44. Warm Up

45. Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

46. Question Does anyone know when you can use synthetic division? – Hint look at vocab

47. Directions (Synthetic Division) THIS IS EXACTLY LIKE SYNTHETIC SUBSTITUTION Write the problem in standard form including the missing terms Only Write down the coefficients inside For the outside – Remember to take the opposite of the number ANSWER – YOU start with 1 power less than the original

48. I DO (Synthetic Division)

49. We Do (Synthetic Division)

50. You Do (Synthetic Division)

51. Review Today you learned how to divide polynomials using synthetic substitution

52. Homework Worksheet – 6.5B (9 - 16)

53. Warm Up

54. Algebra 3 Chapter 6 Lesson 5 The Remainder and Factor Theorems

55. Directions (Finding Zero’s) Do synthetic Division of the function using the given zero Set the answer equal to zero Solve

56. I DO (Finding Zero’s)

57. WE DO (Finding Zero’s)

58. YOU DO (Finding Zero’s)

59. Review Today what did you learn?

60. Homework Worksheet – 6.5B (17 – 20)