1. Warm Up
Graph the following y= x4 (x + 3)2 (x – 4)5 (x – 3)

2. Writing Equations of Polynomials from their Graphs

3. Steps to writing an equation:
Locate the zeros (x-intercepts) of the function.
Determine the type of root for each zero. (cross, bounce or flatten?)
Write down the “factored form” of the polynomial.
Use the end behavior to determine if the leading coefficient is positive or negative.

4. Ex 1: Write the equation of the following polynomial.
Answer: f(x) = (x + 3)(x + 1)2(x – 2)3

5. Ex 2: Write the equation of the polynomial.
Answer: f(x) = (x + 3)(x – 2)2

6. Ex 3: Write the equation of the polynomial.
Answer: f(x) = (x + 3)(x – 1)3