Precalculus Practice Exam

Part 2 Test 1 Time: 1 hour

1. Factor completely over the complex numbers.

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

• Graphically.

3. In certain cases in which patients have rapidly increasing body temperature, powerful drugs are used to decrease the temperature. Suppose that t minutes after the injection of such a drug, a patient's temperature is y degrees above normal, where . What is the patient's maximum temperature above normal?

Answer: After 30 minutes the temperature is maximal, 9.6 degrees Fahrenheit above normal.

4. Find all roots, real and complex, of the function . Show all work and identify what techniques you use.

5. Divide using long division or synthetic division.

Answer: with a remainder of -137

6. Find all asymptotes of the following functions:

Answer: is the vertical asymptote, y=2 the horizontal asymptote of the first function; the second function has a vertical asymptote at x=-1, and has as its oblique asymptote.

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Mon Jun 16 12:10:04 MDT 1997