Part 2 | Test 5 | Time: 1 hour |
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- Find the rational roots of .

**Answer:***x*=-3 is the only rational root. It has multiplicity 2. - Sketch . Label the x-intercepts and the y-intercept.

**Answer:**There are no*x*-intercepts. - Given the polynomial , find
*p*(2-3*i*) using Synthetic Division.

**Answer:***p*(2-3*i*)=-40 - Graph

**Answer:** - Find a partial fraction decomposition for

**Answer:** - Given , find
*c*so that the only real zero of*f*(*x*)+*c*is -2.

**Answer:***c*=9 - Find a polynomial of degree 8 that has 2-
*i*, 1 and -1 as zeros.

**Answer:**. One of many solutions. - Solve for
*x*.

**Answer:**The values of x that make the inequality true are contained in the intervals .

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