[tex]\bf x^3-7x^2+8x+16\qquad f(10)\\\\
-------------------------------\\\\
f(10)=r\implies
\begin{cases}
x=10\\
remainder=r
\end{cases}\\\\
-------------------------------\\\\
\textit{so, let's do the division}
\\\\\\
\begin{array}{r|rrrrrrrllll}
10&&1&-7&8&16\\
&&&10&30&380\\
-&&-&--&--&--\\
&&1&3&38&\boxed{396}&\leftarrow remainder
\end{array}[/tex]
