polynom: 'polylonggcd' liefert seltsames Nebenerzeugnis

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\polydiv\Quotient\Zaehler\Nenner
$\displaystyle 
\left( \polyprint\Zaehler \right) :  \left( \polyprint\Nenner \right) =  \polyprint\Quotient+\frac{\polyprint{\polyremainder}}{\polyprint\Nenner}$
 
 
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\documentclass[margin=5mm, varwidth]{standalone}
\usepackage{polynom}
\begin{document}
\polyadd{\Zaehler}{3x^4 - 22x^3 + 39x^2 - \frac{41}{2}x + \frac{11}{2}}{0}% Trick 
\polyadd{\Nenner}{x-5}{0}% % Trick: 'Nenner + 0' somit gespeichert....
% Polynomdivision anzeigen
%\polyset{style=C, div=:,vars=x}
%\polylongdiv\Zaehler\Nenner   \\
Man kann auch nur das Ergebnis anzeigen, muss es sich aber aufwendig zusammenbasteln: \\
\polydiv\Quotient\Zaehler\Nenner
$\displaystyle 
\left( \polyprint\Zaehler \right) :  \left( \polyprint\Nenner \right) =  \polyprint\Quotient+\frac{\polyprint{\polyremainder}}{\polyprint\Nenner}$
%Liefert leider seltsames Nebenerzeugnis: \\
%{\polyprint\Zaehler = \polylonggcd\Zaehler\Nenner}\\
\end{document}
 
 
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