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Homework Check
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Skill Check
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Solving Polynomial Inequalities
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Factor & Solve!!
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Solving Polynomial Inequalities
Place the inequality in standard form. Factor the polynomial completely and solve. Use 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.
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Solving Polynomial Inequalities
Consider the following inequality: So the solution is [-4, -3]
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Let’s Try Another Example
The zeros of the polynomial are 0, 3 and -1. Graph them with your end behavior.
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You Try!!
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How are you doing???
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Special Cases with Bounces!
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]
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Solve. [1] U [11, )
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Last One!!
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HOMEWORK!! WORKSHEET ALL
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