How to modify polynom package to obtain polynomial long division output the way it is written in the United States

Question

The default output for polynomial long division using the polynom package

\documentclass{article} 
\usepackage{amssymb,latexsym,amsmath}
\usepackage{mathtools}
\usepackage{calc}
\usepackage{polynom}
\usepackage{tikz}

\begin{document}

\polylongdiv{2x^4+3x^3+4x+5}{x^2-3x-4}

\end{document} 

produces this output:

Incorporating antshar's answer to the question How do I programmatically typeset Polynomial Long Division with connected parenthesis and line? (Possibly using TikZ) to fix the division bar

\documentclass{article} 
\usepackage{amssymb,latexsym,amsmath}
\usepackage{mathtools}
\usepackage{calc}
\usepackage{polynom}
\usepackage{tikz}

%fix polynomial long division symbol
\usepackage{etoolbox}
\makeatletter
\patchcmd{\pld@ArrangeResult}{\bigr)}{
    \,\tikz[overlay]{
        \coordinate (A) at (0,-3pt);
        \coordinate (B) at (0,\normalbaselineskip-0.8pt);
        \draw (A) to[in=-40, out=40, looseness=1] (B);
    }
}{}{}
\makeatother

\begin{document}

\polylongdiv{2x^4+3x^3+4x+5}{x^2-3x-4}

\end{document} 

produces the following output:

However, this confuses my American students since they are taught to subtract without changing the signs and adding. In other words, they are used to seeing something like this (please excuse the poor formatting of the division bar and the poor spacing between the lines):

Is it possible to modify the default polynom style to subtract without changing the signs and adding?