1. 6.5 Day 1 Rational Zeros Theorem

2. If is in simplest form and is a rational root of the polynomial equation With integer coefficients, then p must be a factor of and q must be a factor of

3. Tominaga Version p is a factor of the constant, q is a factor of the leading coefficient. The list of all p/q is the list of all POSSIBLE RATIONAL ROOTS.

4. Example: Find all the possible rational zeros for the function.

5. Testing using synthetic division to find a zero Find all of the p’s Find all of the q’s Make a list of p/q Use synthetic division to determine if the number tested is a zero (if you get 0 for a remainder, you have a root)

6. Find all rational zeros for the function.

8. Find all zeros for the function.

9. Homework 1/30: #7 pg 339 1-12 all