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\begin{document}
\section{Polyn\'{o}my a racion\'{a}lne funkcie}
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
\textbf{%
%TCIMACRO{\hyperref{Obsah}{}{}{aindex.tex}}%
%BeginExpansion
\msihyperref{Obsah}{}{}{aindex.tex}%
%EndExpansion
} & \textbf{%
%TCIMACRO{\hyperref{Obsah kapitoly}{}{}{A5.tex}}%
%BeginExpansion
\msihyperref{Obsah kapitoly}{}{}{A5.tex}%
%EndExpansion
} & \textbf{%
%TCIMACRO{\hyperref{Cvi\v{c}enia}{}{}{CA5.tex}}%
%BeginExpansion
\msihyperref{Cvi\v{c}enia}{}{}{CA5.tex}%
%EndExpansion
} \\ \hline
\end{tabular}
\end{center}
\subsection{Ot\'{a}zky}
Odpovedzte na uveden\'{e} ot\'{a}zky. Ak neviete odpoveda\v{t} na niektor%
\'{u} ot\'{a}zku, pre\v{s}tudujte si pr\'{\i}slu\v{s}n\'{u} \v{c}as\v{t} a
znovu sa pok\'{u}ste odpoveda\v{t} na ot\'{a}zku. Po zvl\'{a}dnut\'{\i} v%
\v{s}etk\'{y}ch ot\'{a}zok sa venujte po\v{c}\'{\i}taniu pr\'{\i}kladov.
\begin{itemize}
\item Definujte polyn\'{o}m a stupe\v{n} polyn\'{o}mu.
\item Uve\v{d}te krit\'{e}rium pre rovnos\v{t} dvoch polyn\'{o}mov.
\item \v{C}o je to Hornerova sch\'{e}ma a na \v{c}o sa vyu\v{z}\'{\i}va?
\item Definujte kore\v{n} polyn\'{o}mu. Ak \textit{c} je kore\v{n} polyn\'{o}%
mu \textit{f}, je tento polyn\'{o}m delite\v{l}n\'{y} polyn\'{o}mom $x - c$ v%
\v{z}dy alebo len niekedy?
\item Definujte $k$-n\'{a}sobn\'{y} kore\v{n} polyn\'{o}mu.
\item Uve\v{d}te vetu o racion\'{a}lnych kore\v{n}och polyn\'{o}mu s celo%
\v{c}\'{\i}seln\'{y}mi koeficientmi.
\item Pop\'{\i}\v{s}te algoritmus (postup) h\v{l}adania racion\'{a}lnych kore%
\v{n}ov polyn\'{o}mu s celo\v{c}\'{\i}seln\'{y}mi koeficientmi.
\item Ak \v{c}\'{\i}slo \textit{c} je $k$-n\'{a}sobn\'{y} kore\v{n} polyn%
\'{o}mu \textit{f}, \v{c}o plat\'{\i} o \v{c}\'{\i}sle $\overline{c}$?
\item Ak\'{y} je to kanonick\'{y} rozklad polyn\'{o}mu nad re\'{a}lnymi
resp. komplexn\'{y}mi \v{c}\'{\i}slami?
\item Ktor\'{e} racion\'{a}lne funkcie naz\'{y}vame element\'{a}rnymi
zlomkami nad \textbf{R}?
\item Ktor\'{e} racion\'{a}lne funkcie naz\'{y}vame element\'{a}rnymi
zlomkami nad \textbf{C}?
\item Pop\'{\i}\v{s}te postup pri rozklade racion\'{a}lnej funkcie na element%
\'{a}rne zlomky.
\end{itemize}
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
\textbf{%
%TCIMACRO{\hyperref{Obsah}{}{}{aindex.tex}}%
%BeginExpansion
\msihyperref{Obsah}{}{}{aindex.tex}%
%EndExpansion
} & \textbf{%
%TCIMACRO{\hyperref{Obsah kapitoly}{}{}{A5.tex}}%
%BeginExpansion
\msihyperref{Obsah kapitoly}{}{}{A5.tex}%
%EndExpansion
} & \textbf{%
%TCIMACRO{\hyperref{Cvi\v{c}enia}{}{}{CA5.tex}}%
%BeginExpansion
\msihyperref{Cvi\v{c}enia}{}{}{CA5.tex}%
%EndExpansion
} \\ \hline
\end{tabular}
\end{center}
\rule{6.5in}{0.04in}
\textsl{Matematika 1}
\section{Polyn\'{o}my a racion\'{a}lne funkcie}
\end{document}