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Solving Higher Degree Polynomial Equations.

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Presentation on theme: "Solving Higher Degree Polynomial Equations."— Presentation transcript:

1 Solving Higher Degree Polynomial Equations

2 Let

3

4

5

6

7

8 Has Degree zero Has Degree one Has Degree two Has Degree three ? Has Degree

9 A Polynomial Function of Degree n
in one variable x , where

10 Has NO zeros Has ONE zero Has TWO zeros Has THREE zeros Has n zeros

11 Go Back

12 A Polynomial Function of Degree n
in one variable x , where Has Exactly n zeros

13 How Many Zeros Should We Expect ?
5

14 Ex 1 ZEROS How Do I Do That? FACTOR

15 Ex 1 ZEROS GCF

16 Ex 1 ZEROS

17 Ex 1 ZEROS

18 Ex 1 ZEROS

19 Ex 1 ZEROS

20 Ex 1 ZEROS

21 Ex 1 ZEROS Completely Factored ? NO

22 Ex 1 ZEROS Linear Factors

23 Ex 1 ZEROS

24 Ex 1 FIND THE ZEROS

25 Ex 1

26 Ex 1

27 Ex 1

28 Ex 1

29 Ex 1

30 Ex 1

31 Ex 1 Zeros

32 Ex 1 Zeros

33 Ex 1 Zeros

34 Ex 1 How Many Zeros ? 5 Zeros

35 Next Example

36 How Many Zeros Should We Expect ?
4

37 Ex 2 ZEROS FACTOR

38 Ex 2 ZEROS

39 Ex 2 Dummy Out ZEROS You Finish

40 Ex 2 ZEROS

41 Ex 2 ZEROS 4 Zeros How Many Zeros ?

42 Ex 2 4 Zeroc How Many Zeros ?

43 Next Example

44 How Many Zeros Should We Expect ?
3

45 Ex 3 ZEROS ? Try Grouping

46 Ex 3 ZEROS

47 Ex 3 ZEROS

48 Ex 3 ZEROS

49 Ex 3 FACTOR NO

50 Ex 3

51 Ex 3 You Finish

52 Ex 3

53 Ex 3 How Many Zeros ? 3 Zeros

54 Ex 3 How Many Zeros ? 3 Zeros

55 Next Example

56 How Many Zeros Should We Expect ?
6

57 Try The Difference of Two Squares
Ex 4 ZEROS Try The Difference of Two Squares

58 Ex 4 ZEROS The Sum of Two Cubes

59 The Difference of Two Cubes
Ex 4 ZEROS The Difference of Two Cubes

60 Ex 4 ZEROS

61 Ex 4 ZEROS Factorable? NO

62 Ex 4 ZEROS

63 Ex 4 ZEROS

64 Ex 4 ZEROS

65 Ex 4 ZEROS

66 Ex 4 ZEROS

67 Ex 4 Quadratic Formula Quadratic Formula

68 Ex 4

69 Ex 4 ZEROS

70 Ex 4 How Many Zeros ? 6 ZEROS

71 Ex 4 How Many Zeros ? 6 ZEROS


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