1. Warm UP: Factor Completely: 1)16n3 + 32n2 – n – 2 2) y4 – 3y2 – 28
Is it a factor?
3) x + 7 given g(x) = 3x3 – 28x2 + 29x + 140

2. 4.5 Solving polynomial equations

3. What does it mean to solve a polynomial?
When we are solving a polynomial, just like when we solved quadratics, we are finding the x – intercepts or zeros of the polynomial on it’s graph.
This is another tool for us to find information about the graph so we can sketch what the polynomial looks like.

4. Solving by factoring
One way to solve a polynomial is to solve by factoring.
MAKE SURE IT IS EQUAL TO ZERO!!!
A) 2x3 – 12x2 + 18x = 0 B) f(x) = -2x4 + 16x2 - 32

5. What if we are given a Factor/zero?
If they give you a zero, then you do the following steps:
1) Divide by that factor (you should NOT have a remainder, they have already told you this is a zero).
2) Factor the answer you have from the division.
3) Take all the factors, set them equal to zero and solve for the variable 

6. Examples:
Find all the zeros for y = x3 + 4x2 – x – 4, given a zero of -1.

7. Find all zeros for y = x3 + x2 – 10x + 8, given a zero at (x + 4)

8. HW: p. 194 #3 - 12