Precalculus Practice Exam

Part 2 Test 2 Time: 1 hour

  1. Find a polynomial with integer coefficients that has the following zeros: tex2html_wrap_inline102 .

    Answer: tex2html_wrap_inline104

  2. Solve for x in the inequality tex2html_wrap_inline108 .

  3. Katie the Terrible fires a lima bean at her friend Celeste while seated at the table for lunch. The height (in inches) of the lima bean above the ground t seconds later is given by tex2html_wrap_inline114 . What is the maximum height attained by the lima bean?

    Answer: 52 inches

  4. Find all roots, real and complex, of the function tex2html_wrap_inline116 . Show your work, and identify which techniques you used.

    Answer: tex2html_wrap_inline118

  5. Divide tex2html_wrap_inline120 using either long division or synthetic division.

    Answer: tex2html_wrap_inline122 with a remainder of 24

  6. Find all vertical asymptotes of the following functions:

    Answer: The vertical asymptote is x=3. For the second equation, the vertical asymptote is tex2html_wrap_inline130

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Thu Jun 19 11:59:56 MDT 1997

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