## Precalculus Practice Exam

Part 2 Test 2 Time: 1 hour

1. Find a polynomial with integer coefficients that has the following zeros: .

Answer:

2. Solve for x in the inequality .
• Algebraically.

Answer:

• Graphically.

3. Katie the Terrible fires a lima bean at her friend Celeste while seated at the table for lunch. The height (in inches) of the lima bean above the ground t seconds later is given by . What is the maximum height attained by the lima bean?

Answer: 52 inches

4. Find all roots, real and complex, of the function . Show your work, and identify which techniques you used.

Answer:

5. Divide using either long division or synthetic division.

Answer: with a remainder of 24

6. Find all vertical asymptotes of the following functions:

Answer: The vertical asymptote is x=3. For the second equation, the vertical asymptote is

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Thu Jun 19 11:59:56 MDT 1997

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