Let 
 <i>p</i>(<i>x</i>)
  be an irreducible polynomial over a field  <I>F</i>.  If <I>a</I> is a zero in some extension <I>E</I> of <I>F</I>,  how are the fields<br>
 <I>F</I>[<I>x</I>]/&#9001  <i>p</i>(<i>x</i>) &#9002
  and
 <I>F</I>(<I>a</I>)
 related?