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Polynomial P(x) Binomial Factors Polynomial P(x) Binomial Factors Solutions of P(x)=0 Zeros of P(x)

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Presentation on theme: "Polynomial P(x) Binomial Factors Polynomial P(x) Binomial Factors Solutions of P(x)=0 Zeros of P(x)"— Presentation transcript:

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6 Polynomial P(x)

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8 Binomial Factors

9 Polynomial P(x) Binomial Factors Solutions of P(x)=0 Zeros of P(x)

10 Polynomial P(x) Binomial Factors Solutions of P(x)=0 Zeros of P(x)

11 If in polynomial P(x), P(c) = 0

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14 Zero P(x)=0

15 Zero P(x)=0 Binomial Factors

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17 Polynomial P(x) Binomial Factors Solutions of P(x)=0 Zeros of P(x)

18 Solutions of P(x)=0 Zeros of P(x)

19 Solutions of P(x)=0 Zeros of P(x)

20 Solutions of P(x)=0 Zeros of P(x)

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24 Zeros P(x)=0 The graph is tangent (touches) the x-axis but doesn’t cross the x-axis at that point

25 Zeros P(x)=0 The graph is tangent (touches) the x-axis but doesn’t cross the x-axis at that point Binomial Factors

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32 P(x)=0

33 P(x)=0

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37 P(x)=0

38 P(x)=0

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56 – 3, multiplicity 2 2, multiplicity 1

57 – 3, multiplicity 2 2, multiplicity 1

58 – 3, multiplicity 2 2, multiplicity 1

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61 x2x2 6x6x9 x –2

62 x2x2 6x6x9 x

63 x2x2 6x6x9 x

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65 Shifted 2 to the left

66 The graph intersects the x-axis and flattens out as it passes through that point.

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69 If the degree of the binomial is odd and greater than 1, the graph will intersect the x-axis and flatten out as it passes through that point.

70 If the degree of the binomial is odd and greater than 1, the graph will intersect the x-axis and flatten out as it passes through that point.

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72 –1 123

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80 The graph is tangent (touches) the x-axis but doesn’t cross the x-axis at that point

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82 The graph is tangent (touches) the x-axis but doesn’t cross the x-axis at that point

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90 Example 1

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92 – 3

93 2 nd TABLE

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98 Example 2

99 ZOOM 1: ZBox

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111 Page 342: #34 and #37 Graphing Calculator


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