Section 5.3(d) Synthetic Substitution. Long division Synthetic Division can be used to find the value of a function. This process is called Synthetic.

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Presentation transcript:

Section 5.3(d) Synthetic Substitution

Long division Synthetic Division can be used to find the value of a function. This process is called Synthetic Substitution Synthetic Division If a polynomial f(x) is divided by (x - a) The remainder is f(a)

13.) Find: Note: remainder means F(3) = 83 a) Direct substitution b) Synthetic substitution

14.) Find:

15.) Find:

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 Since f(x) divided by (x - 4) has a remainder of 0, (x-4) is a factor of f(x)

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

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

Homework Page 491 Problems: all