1. Solving Polynomial Inequalities

2. Factor & Solve!!

3. Solving Polynomial Inequalities
Place the inequality in standard form.
Factor the polynomial completely.
Find the zeros of the polynomial and sketch a graph using end behavior and your zeros. **Look for bounces**
Highlight the portion of the graph that makes the inequality true.
Greater than- Above the x-axis
Less than- Below the x-axis
Write the answer in interval notation.

4. Solving Polynomial Inequalities
Consider the following inequality:
So the solution is [-4, -3]

5. Let’s Try Another Example
The zeros of the polynomial are 0, 3 and -1. Graph them with your end behavior.

6. You Try!!

7. How are you doing???

8. Special Cases! (-, 2) U (2, ) No Solution (- , ) [2] x = 2 Nowhere
(can’t include 2)
Everywhere except 2
x = 2
(-, 2) U (2, )
No Solution
Everywhere including 2
Only at one place
x = 2
(- , )
[2]

9. Solve.
[1] U [11, )

10. Last One!!

11. HOMEWORK!!
WORKSHEET ALL