algos.tex

\textbf{Схема Горнера}\\
\begin{tabular}{l}

\begin{tabular}{|l|l|l|l|l|l|}
	\multicolumn{6}{c}{Один пример} \\
	\hline
	&    
	5 &
	5 &
	1 &
	0 &
	-11 
	\\ 
	\hline
	1& 
	5 &
	10 &
	11 &
	11 &
	0\\
	\hline
	\multicolumn{1}{c}{}
\end{tabular}
\begin{tabular}{l}
	$(5x^4 + 5x^3 + x^2 -11) \div (x - 1) $ \\
	$(x - 1)(5x^3 + 10 x^2 + 11 x + 11) + 0$
\end{tabular}
\\
\begin{tabular}{|l|l|l|l|l|l|}
	\multicolumn{6}{c}{Второй пример} \\
	\hline   
	&
	1 &
	3 &
	4 &
	-5 &
	-47 
	\\
	
	
	\hline
	&
	$\downarrow_{+1}$ &
	$\downarrow_{+3}$ &
	$\downarrow_{+4}$ &
	$\downarrow_{-5}$ &
	$\downarrow_{-47}$\\
	 
	\hline
	-3& 
	1 &
	0 &
	4 &
	-17 &
	4\\
	
	\hline
	
	
	
	$\xrightarrow[]{-3 * 0}$ &
	$\xrightarrow[]{-3 * 1}$  &
	$\xrightarrow[]{-3 * 0}$  &
	$\xrightarrow[]{-3 * 4}$  &
	$\xrightarrow[]{-3 * (-17)}$
	&
	\\ 
	\hline
	
\end{tabular}
\begin{tabular}{l}
	$(x^4 + 3x^3 + 4x^2 - 5x -47) \div (x + 3) $ \\
	$(x + 3)(x^3 + 4x -17) + 4$
\end{tabular}

\end{tabular}\\