1. Section 5.3(d) Synthetic Substitution

2. 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)

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

4. 14.) Find:

5. 15.) Find:

6. 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)

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

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

9. Homework Page 491 Problems: 18-29 all