Precalculus Practice Exam

Part 2 Test 5 Time: 1 hour

  1. Find the rational roots of tex2html_wrap_inline81 .


    Answer: x=-3 is the only rational root. It has multiplicity 2.

  2. Sketch tex2html_wrap_inline85 . Label the x-intercepts and the y-intercept.


    Answer: There are no x-intercepts.

  3. Given the polynomial tex2html_wrap_inline89 , find p(2-3i) using Synthetic Division.


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

  4. Graph

    displaymath73


    Answer:

  5. Find a partial fraction decomposition for

    displaymath74


    Answer:

    displaymath75

  6. Given tex2html_wrap_inline95 , find c so that the only real zero of f(x)+c is -2.


    Answer: c=9

  7. Find a polynomial of degree 8 that has 2-i, 1 and -1 as zeros.


    Answer: tex2html_wrap_inline105 . One of many solutions.

  8. Solve for x.

    displaymath76


    Answer: The values of x that make the inequality true are contained in the intervals tex2html_wrap_inline109 .

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Tue Jul 1 16:13:04 MDT 1997

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