\documentclass[12pt]{article}
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\prof{Chris Bendel and Peter Cholak}
\class{Math 222}
\quizdate{Wednesday Febraury 3}
\pagestyle{empty}

\begin{document}


\heading

Be sure to carefully write up your answers.  It is suggested that you
first write out a draft of your proposed questions and then carefully
rewrite that draft to get your final version.  You do \emph{not} have
to write the answers on this sheet of paper.\\

\begin{problem}
  Show that the equation $x^8 + 6x^4 + 8 = 0$ has no real solutions
  and that each complex solution is constructible.
\end{problem}

\begin{problem}
  Show that an angle of $\frac{2\pi}{51}$ is constructible, and hence
  a regular 51-gon is constructible.  {\em Hint:} Make use of the
  angles in a regular 3-gon and a regular 17-gon which are both
  constructible.
\end{problem}

\begin{problem}
  Section 2.5: Problem 16.
\end{problem}

\end{document}
             