## Precalculus Test Out Practice Exam

Part 2 Test 2 Time: 3 hours

1. Simplify the expression to the from a+bi.
2. Solve the equation for x. List the exact answer(s), not approximation(s). A decimal answer is not an exact answer; it is an approximation. No credit will be given for an approximation.

3. A farmer wants to construct a rectangular livestock pen so that he maximizes the area with 14,884 feet of fencing. Find the exact dimensions of the pen.

4. Why are the following not functions?
• .
• .
• .
5. Find the exact solution(s) to the equation . Find the extraneous solution.
6. Find the exact solution(s) to the equation . Find the extraneous solution.
7. Find the exact non-real solutions(s), if any, to the equation .
8. Solve for x.
9. Solve for x.
10. Find the exact vertex of the parabola . (No decimals)
11. Find an equation of the parabola that has a vertex at (8,3) and passes through the point (4,1).
12. Find the maximum height of a ball that follows the path defined by the equation .
13. Find an equation of a polynomial of degree 10 that has 3+i as a zero.
14. Find the zeros of the polynomial .
15. Divide by x-6. What is the remainder?
16. What is the largest rational (exact) zero of the polynomial

17. How many real zeros does the polynomial have?
18. Find an equation of the slant asymptote to the graph of

19. Is a zero of the polynomial

20. Find the inverse of the function . If the domain needs to be restricted, state such a restricted domain. If the domain does not need to be restricted, explain.