Part 2 | Test 1 | Time: 1 hour |
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- Factor completely over the
**complex numbers**.

**Answer:** - Solve for
*x*in the expression .- Algebraically.

**Answer:** - Graphically.

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

**Answer:**. - Divide using long
division or synthetic division.

**Answer:**with a remainder of -137 - 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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