Let <I>F</I> be a field and let
 <i>p</i>(<i>x</i>) &#8712
 <I>F</I>[<I>x</I>]. If
 <I>a</I> is a zero of  <i>p</i>(<i>x</i>) in some extension <I>E</i> of <I>F</I>
and  <I>b</I> is a zero of  <i>p</i>(<i>x</i>) in some extension <I>E'</i> of <I>F</I>
how are the fields
 <I>F</I>(<I>a</I>).
and  <I>F</I>(<I>b</I>) related?