[tex]\bf \cfrac{x^3+5x^2+3x-10}{x+4}\impliedby x+4=0\implies x=\stackrel{our~divisor}{-4}\\\\
-------------------------------\\\\
\begin{array}{r|rrrrrrr}
-4&&1&5&3&-10\\
&&&-4&-4&4\\
--&&--&--&--&--\\
&&1&1&-1&\boxed{-6}&\leftarrow remainder
\end{array}
\\\\\\
1x^2+1x^1-1+\frac{-6}{x+4}\implies x^2+x-1+\frac{-6}{x+4}[/tex]
