Solving Polynomial Inequalities

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Presentation transcript:

Solving Polynomial Inequalities

Factor & Solve!!

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.

You Try!!

How are you doing???

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]

Solve. [1] U [11, )

Last One!!

HOMEWORK!! WORKSHEET ALL