Polynomial Long Division Using Polynom

Question

I have been toiling around polynom package to typeset polynomial long division. The polynom package produces wonderful long division with step by step process. But I just have two problems. Let me tell you what I need exactly

Here is the output that I produced with polynom for \polylongdiv{X^3+X^2-1}{X-1}

enter image description here

But instead of spaces for the missing x, I want to have 0x. Is it possible to do that? I checked the documentation and I couldn't find a way to do this.

You can read the documentation here: http://www.cs.brown.edu/system/software/latex/doc/polynom.pdf

I also realized that the polynomials aren't formatted inside the math environment. So is there anyway to format these equations inside math environment also? I tried putting $ signs around \polylongdiv{X^3+X^2-1}{X-1}, but that didn't change anything. Equations inside math environment produces something like this

enter image description here

I am very new to latex. So please help me.

Update: @polgab helped me solve the second question of producing math environment like output. I just need the solution for question 1 now which is I want to have 0x in the place of missing x instead of a space which is being produced by polynom.

I was just looking at Multivariate polynomial long division using LaTeX, and was about to compose a question when I saw this. Is this a duplicate that answers your question? — Peter Grill, Jul 15 '12 at 04:19
I edited your question and put the first image in there- the second image seemed to be the same? — cmhughes, Jul 15 '12 at 04:40
@PeterGrill No mine is not a duplicate of http://tex.stackexchange.com/questions/50404/multivariate-polynomial-long-division-using-latex/51043#51043. I don't want to typeset multivariate polynomial long division. I just want to get help in modifying some basic settings of the polynom package. Thanks for taking your time to comment! — Adhithya, Jul 15 '12 at 14:27
@cmhughes I just put the second image to show how the output from polynom is different from the output produced in the math environment. If you feel it is causing ambiguity, please feel free to remove it. — Adhithya, Jul 15 '12 at 14:30
Have you try \polylongdiv{x^3+x^2-1}{x-1} (using x instead of X)? — Paul Gaborit, Jul 15 '12 at 18:02
@PolGab Thank you so much. It produces output similar to the math environment. You have solved one of my question. — Adhithya, Jul 15 '12 at 18:31

score 30 · Accepted Answer · answered Jul 15 '12 at 21:56

Changing the internal macros that are responsible for omitting zero terms you get what you want (but you have to specify the zero term in the input):

\documentclass{article}
\usepackage{polynom}
\makeatletter
\def\pld@CF@loop#1+{%
    \ifx\relax#1\else
        \begingroup
          \pld@AccuSetX11%
          \def\pld@frac{{}{}}\let\pld@symbols\@empty\let\pld@vars\@empty
          \pld@false
          #1%
          \let\pld@temp\@empty
          \pld@AccuIfOne{}{\pld@AccuGet\pld@temp
                            \edef\pld@temp{\noexpand\pld@R\pld@temp}}%
           \pld@if \pld@Extend\pld@temp{\expandafter\pld@F\pld@frac}\fi
           \expandafter\pld@CF@loop@\pld@symbols\relax\@empty
           \expandafter\pld@CF@loop@\pld@vars\relax\@empty
           \ifx\@empty\pld@temp
               \def\pld@temp{\pld@R11}%
           \fi
          \global\let\@gtempa\pld@temp
        \endgroup
        \ifx\@empty\@gtempa\else
            \pld@ExtendPoly\pld@tempoly\@gtempa
        \fi
        \expandafter\pld@CF@loop
    \fi}
\def\pld@CMAddToTempoly{%
    \pld@AccuGet\pld@temp\edef\pld@temp{\noexpand\pld@R\pld@temp}%
    \pld@CondenseMonomials\pld@false\pld@symbols
    \ifx\pld@symbols\@empty \else
        \pld@ExtendPoly\pld@temp\pld@symbols
    \fi
    \ifx\pld@temp\@empty \else
        \pld@if
            \expandafter\pld@IfSum\expandafter{\pld@temp}%
                {\expandafter\def\expandafter\pld@temp\expandafter
                    {\expandafter\pld@F\expandafter{\pld@temp}{}}}%
                {}%
        \fi
        \pld@ExtendPoly\pld@tempoly\pld@temp
        \pld@Extend\pld@tempoly{\pld@monom}%
    \fi}
\makeatother
\begin{document}
\polylongdiv{X^3+X^2+0X-1}{X-1}
\end{document}

enter image description here

Polynomial Long Division Using Polynom

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