Answer
Quotient $q(x)=x^2+x-4$
Remainder $r(x)=12$
Work Step by Step
$\begin{array}{lllllll}
& & x^2 & +x &-4 & & \\
& -- & -- & -- & -- & -- & \\
x^2-x+3\ ) & x^{4} & -2x^{2} & +7x & 0 & \\
& -x^{4} & +x^{3} & -3x^2 & & & \\
& -- & -- & & & & \\
& & x^{3} & -5x^2 & +7x & & \\
& & -x^{3} & +x^2 & -3x & & \\
& & -- & -- & & & \\
& & & -4x^2& +4x & & \\
& & & +4x^2 & -4x & +12
\end{array}$
$q(x)=x^2+x-4$
$r(x)=12$
