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## Solving Polynomial Inequalities

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**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.**Solving Polynomial Inequalities**Consider the following inequality: So the solution is [-4, -3]**Let’s Try Another Example**The zeros of the polynomial are 0, 3 and -1. Graph them with your end behavior.**x = 2**Special Cases! Nowhere (can’t include 2) Everywhere except 2 (-, 2) U (2, ) No Solution Only at one place Everywhere including 2 x = 2 [2] (- , )**Solve.**[1] U [11, )**HOMEWORK!!**WORKSHEET ALL