1. Other types of Equations Polynomial Equations

2. Factoring Solve

3. Factoring Solve First, set the equation equal to zero.

4. Factoring Solve First, set the equation equal to zero. Take out the common factor.

5. Factoring Solve First, set the equation equal to zero. Take out the common factor. Factor.

6. Factoring Solve First, set the equation equal to zero. Take out the common factor. Factor. Solve.

7. Factoring You try:

8. Factoring You try:

9. Factoring You try:

10. Factor by grouping When you have a 3 rd degree equation with four terms, you will factor by grouping.

11. Factor by grouping When you have a 3 rd degree equation with four terms, you will factor by grouping.

12. Factor by grouping When you have a 3 rd degree equation with four terms, you will factor by grouping.

13. Factor by grouping You try:

14. Factor by grouping You try:

15. Factor by grouping You try:

16. Solving a 4 th degree We will look at a 4 th degree equation just like we did a 2 nd degree equation. Now, instead of starting your factoring with an, it will be an.

17. Solving a 4 th degree We will look at a 4 th degree equation just like we did a 2 nd degree equation. Now instead of starting your factoring with an, it will be an. Solve

18. Solving a 4 th degree We will look at a 4 th degree equation just like we did a 2 nd degree equation. Now instead of starting your factoring with an, it will be an. Solve

19. Solving a 4 th degree We will look at a 4 th degree equation just like we did a 2 nd degree equation. Now instead of starting your factoring with an, it will be an. Solve

20. Solving a 4 th degree We will look at a 4 th degree equation just like we did a 2 nd degree equation. Now instead of starting your factoring with an, it will be an. Solve

21. Solving a 4 th degree You try:

22. Solving a 4 th degree You try:

23. Solving a 4 th degree You try:

24. Solving a 4 th degree You try:

25. Equations involving radicals Solve:

26. Equations involving radicals Solve: First, get the radical by itself.

27. Equations involving radicals Solve: First, get the radical by itself. Next, square both sides.

28. Equations involving radicals Solve: First, get the radical by itself. Next, square both sides. Solve.

29. Equations involving radicals Solve: First, get the radical by itself. Next, square both sides. Solve.

30. Equations involving radicals Solve: Now, you have to be careful. By squaring both sides, you may introduce an extraneous solution. You must check each solution.

31. Equations involving radicals Solve: Now, you have to be careful. By squaring both sides, you may introduce an extraneous solution. You must check each solution.

32. Equations involving radicals Solve: The only solution to this equation is.

33. Equations involving radicals You try:

34. Equations involving radicals You try:

35. Equations involving radicals You try: You need to check each answers.

36. Equations involving radicals You try: You need to check each answers. The only answer is x = 6.

37. Equations involving radicals You try:

38. Equations involving radicals You try:

39. Equations involving radicals You try: Check your answer. The answer works.

40. Absolute Value Absolute value represents distance from zero, that is why it is always positive. There will be two answers since we can go to the right from zero or to the left. 3 and -3 are both the same distance from zero.

41. Absolute Value Solve:

42. Absolute Value Solve: The answer is, since they are both 3 units from zero.

43. Absolute Value Solve:

44. Absolute Value Solve: We want to be 4 units from zero. There are two solutions.

45. Absolute Value Solve: We want to be 4 units from zero. There are two solutions.

46. Absolute Value You try:

47. Absolute Value You try:

48. Absolute Value Solve:

49. Absolute Value Solve: We need to solve two equations.

50. Absolute Value Solve: We need to solve two equations.

51. Absolute Value Solve: We need to solve two equations. We need to now check our answers.

52. Absolute Value Solve: We need to solve two equations. We need to now check our answers. Only -3 and 1 will work.

53. Homework Pages 140-141 1-13 odd 29,31,65,66