Solving Polynomial Inequalities

# Solving Polynomial Inequalities

Télécharger la présentation

## Solving Polynomial Inequalities

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript

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