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{\Large TEST 3

Math 101 - 2}
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You have 50 minutes to complete the test.  
You may not use a calculator.  
Show all relevant work (or else no credit).  
Put a box around your answer.  
Make your work legible, if I can't read it, I can't grade it.  

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Name \rule{5in}{.2pt}

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\begin{enumerate}

\item  (15 points)  Divide and simplify:
\[
\frac
{\left( \frac{5x}{x+7} \right)}
{\left(\frac{10}{x^2+8x+7}\right)}
\]
\vspace{3in}

\item  (15 points)  Simplify
\[
\frac
{\left( \frac{x}{x-3} - \frac{2}{3} \right)}
{\left( \frac{10}{3x} + \frac{x^2}{x-3} \right)}
\]
%\vspace{2in}
\newpage

\item  (15 points)  Solve the equation:
\[
\frac{3}{x-1} + \frac{6}{x^2-3x+2} = 2
\]
\vspace{3.4in}

\item  (20 points)  Factor the polynomial.  (Hint: $(x-2)$ is a factor)
\[
x^3-5x^2-4x+20
\]
%vspace{2in}
\newpage

\item  (15 points)  Divide:
\[
\frac{2x^3-5x^2+x-7}{x-2}
\]
\vspace{2in}

\item  (20 points)  Graph the rational function.  
Label all asymptotes clearly.
\[
y=\frac{-2x+3}{3x+4}
\]

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\end{enumerate}

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