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Section 5.3(d) Synthetic Substitution

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Long division Synthetic Division can be used to find the value of a function. This process is called Synthetic Substitution Synthetic Division 3 -16 74 5 -48 78 -16 26 83 If a polynomial f(x) is divided by (x - a) The remainder is f(a)

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13.) Find: Note: remainder means F(3) = 83 a) Direct substitution 3 -16 74 5 -48 78 -16 26 83 b) Synthetic substitution

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14.) Find:

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15.) Find:

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If a polynomial f(x) is divided by (x - a) and the remainder is 0, then (x-a) is a factor of f(x) Remainder Theorem 4 1 1 -13 -25 -12 4 20 28 12 1 5 7 3 0 Since f(x) divided by (x - 4) has a remainder of 0, (x-4) is a factor of f(x)

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16.) Show that (x +1) is a factor of

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17.) Show that (x - 5) is a factor of

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Homework Page 491 Problems: 18-29 all

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