[tex]\bf 2x^4-5x^3+3x^2-x+3\div x+4
\\\\\\
x+4=0\implies x=-4\qquad \textit{therefore we'll use -4 in the division}
\\\\\\
\begin{array}{r|rrrrrrrrr}
-4&&2&-5&3&-1&3\\
&&&-8&52&-220&884\\
&&--&--&--&--&--\\
&&2&-13&55&-221&\boxed{887}&\leftarrow remainder
\end{array}\\\\
-------------------------------\\\\
2x^3-13x^2+55x-221+\frac{887}{x+4}[/tex]
