Part 2 | Test 1 | Time: 3 hours |
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- Simplify the expression to the from
*a*+*bi*.

**Answer:**. - Solve the equation for
*x*. List the**exact**answer(s), not approximation(s).

**Answer:**The exact solutions are: . - A picture frame has a total perimeter of 3 feet. The width of
the frame is 0.62 times its height. Find the exact dimensions
of the area of the frame.

**Answer:**The height of the frame is feet, its width is feet. - Which of the following is a function:
- .
- .
- 7
*x*=6.

**Answer:**Only is a function.

- Find the exact solution(s) to the equation
.

**Answer:**The exact solution is*x*=1. - Find the exact solution(s) to the equation
.

**Answer:**The exact solutions are*x*=1, and*x*=-3. - Find the exact non-real solutions(s), if any, to the equation
.

**Answer:**The exact non-real solutions are: . - Solve for
*x*.

**Answer:**The values of*x*that make the inequality true are the real numbers contained in the interval (-1,3). - Solve for
*x*.

**Answer:**The values of*x*that make the inequality true are 5<*x*<15, or in interval notation, (5,15). - Find the exact vertex of the parabola .

**Answer:**The vertex is (4,-15). - Find an equation of the parabola that has its vertex at (2,3) and
passes through the point (1,1).

**Answer:**The equation is . - Find the maximum height of a ball that follows the path defined
by the equation .

**Answer:**The maximum height is 81.125. - Find an equation of a polynomial that has 3+
*i*as a zero.

**Answer:**One solution is the polynomial . - Find the zeros of the polynomial
.

**Answer:**The zeros are:*x*=-5,*x*=4, and*x*=5. - Divide by
*x*-4. What is the remainder?

**Answer:**The remainder is 0. - What is the largest rational (exact) zero of the polynomial

**Answer:**The largest rational zero is . - How many real zeros does the polynomial
have?

**Answer:**There are three real solutions, which are:*x*=-2, and*x*=1 (double solution). - Find an equation of the slant asymptote to the graph of

**Answer:**The equation is*y*=*x*-6. - Is a zero of the polynomial

**Answer:**Yes, is a zero. - 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.

**Answer:**There are two solutions.when the domain is restricted to the interval , or

when the domain is restricted to the interval .

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