1. Chapter 9: Polynomial Functions Lesson 4B – Synthetic Division Mrs. Parziale

2. Dividing Polynomials Synthetic Division – another method used to divide polynomials, when the divisor is in the form x – c.

3. Example 1: Divide using long division

4. Example 2: Divide the polynomial in Example 1 using synthetic division.

7. Example 3: Divide using synthetic division.

8. Example 3, cont: Divide using synthetic division.

9. Example 4: The profit P (in millions of dollars) for a shoe manufacturer can be modeled by where x is the number of shoes produced (in millions). The company now produces 1 million shoes and makes a profit of $25,000,000, but would like to cut back production. What lesser number of shoes could the company produce and still make the same profit? a. Write an equation that represents this situation. (hint: use P = 25 and find the zeros) b. What lesser number of shoes could the company produce and still make the same profit?

10. Closure Find the error in the following use of synthetic division for Results in: