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Solving Polynomial Inequalities

Solving Polynomial Inequalities

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Solving Polynomial Inequalities

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  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. 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] (- , )

  9. Solve. [1] U [11, )

  10. Last One!!

  11. HOMEWORK!! WORKSHEET ALL