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%
% This file is copyright 2004 Carsten Heinz.
%
% This file may be distributed and/or modified under the conditions
% of the LaTeX Project Public License, either version 1.3 of this
% license or (at your option) any later version.
% The latest version of this license is in
% http://www.latex-project.org/lppl.txt
% and version 1.3 or later is part of all distributions of LaTeX
% version 2003/12/01 or later.
%
\documentclass[12pt]{article}
\pagestyle{empty}
\usepackage{geometry,hyperref,color,polynom}
\geometry{screen}
\hypersetup{pdfpagemode=FullScreen}
%%%%%%%%%%%%%
%
% \tokentotext<csname>{<tokens>}
% converts token sequence into a \texttt-printable form.
%
%%%%%%%%%%%%%
\makeatletter % We'll use three internal LaTeX definitions
\newcommand\tokentotext[2]{%
\def#1{#2}%
\edef#1{\expandafter\strip@prefix\meaning#1}%
\edef#1{\expandafter\zap@space#1 \@empty}}
\makeatother
\newcounter{currentstage}
%%%%%%%%%%%%%
%
% \dopolylongdiv{<page title>}{<loop min>}{<loop max>}{<key=value list for \polyset>}
%
%%%%%%%%%%%%%
\newcommand\dopolylongdiv[4]{%
\begingroup
\tokentotext\keyvaluetext{#4}%
\polyset{#4}%
\setcounter{currentstage}{#2}\addtocounter{currentstage}{-1}%
%
\loop \ifnum \value{currentstage}<#3\relax
\addtocounter{currentstage}{1}%
\newpage
\section*{\strut#1}\section*{\strut\texttt{\keyvaluetext}}%
\[\polylongdiv[stage=\value{currentstage}]{x^3+x^2-1}{x+2}\]
\repeat
\endgroup}
%%%%%%%%%%%%%
%
% \dopolyhornerscheme{<page title>}{<loop min>}{<loop max>}{<key=value list for \polyset>}
%
%%%%%%%%%%%%%
\newcommand\dopolyhornerscheme[4]{% similar to \dopolylongdiv
\begingroup
\tokentotext\keyvaluetext{#4}%
\polyset{#4}%
\setcounter{currentstage}{#2}\addtocounter{currentstage}{-1}%
%
\loop \ifnum \value{currentstage}<#3\relax
\addtocounter{currentstage}{1}%
\newpage
\section*{\strut#1}\section*{\strut\texttt{\keyvaluetext}}%
\[\polyhornerscheme[x=-2,stage=\value{currentstage}]{x^3+x^2-1}\]
\repeat
\endgroup}
%%%%%%%%%%%%%
%
% T H E D O C U M E N T
%
%%%%%%%%%%%%%
\begin{document}
\LARGE
\dopolylongdiv{Polynomial long division -- Stages 1 to 10}{1}{10}
{}
\dopolylongdiv{Polynomial long division -- Stages 1 to 11}{1}{11}
{style=B}
\dopolylongdiv{Polynomial long division -- Stages 1 to 11}{1}{11}
{style=C}
\dopolylongdiv{Polynomial long division -- Stages 1 to 11}{1}{11}
{style=D}
\dopolyhornerscheme{Horner's scheme -- Stages 1 to 8}{1}{8}
{}
\dopolyhornerscheme{Horner's scheme -- Stages 1 to 8}{1}{8}
{tutor=true,resultstyle=\color{blue}}
\dopolyhornerscheme{Horner's scheme -- Rule the result}{8}{8}
{resultbottomrule,resultleftrule,resultrightrule}
\dopolyhornerscheme{Horner's scheme -- Stages 1 to 8}{1}{8}
{tutor=true,tutorlimit=3}
\dopolyhornerscheme{Horner's scheme: Some more options}{8}{8}
{showbase=top,showbasesep=false}
\end{document}
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