1. “You wasted $150,000 on an education you coulda got for $1
“You wasted $150,000 on an education you coulda got for $1.50 in late fees at the public library.”

2. 3.6 Real Zeros of a Polynomial Function

3. Synthetic Division Review
Let’s review synthetic division:
We can use synthetic division to help us completely factor
polynomials.

4. Factoring Completely factor the following function:
Hint: -1 is one zero of the function
How can we find out what factor to start with when using synthetic division????

5. Rational Zeros Theorem
Let f be a polynomial function of the form
where each coefficient is an integer. If is a rational zero of f, then p must be a factor of , and q must be a factor of .

6. Potential Rational Zeros
List the potential rational zeros of the following function:

7. Remainder Theorem
Let f be a polynomial function. If f (x) is divided by x – c, then the remainder is f (c).

8. Potential Rational Zeros
List the potential rational zeros of the following function. Then find the zeros and factor over the reals.

9. Real Zeros of Polynomials
Find the real zeros of f and factor f over the reals.

10. Real Zeros of Polynomials
Find the real zeros of f and factor f over the reals.

11. Practice Problem
Find the real zeros of f and factor f over the reals.

12. 3.6 Real Zeros of a Polynomial Function
HW #9: p.231 #11 – 19 Odd
39, 41, 63, 69