Given the expression:
[tex]\frac{u^3+3u^2-6}{u-6}[/tex]We use the long-division method to find the quotient and the rest:
Then, the quotient Q(u) and the remainder R(u) are:
[tex]\begin{gathered} Q(u)=u^2+9u+54 \\ \\ R\left(u\right)=318 \end{gathered}[/tex]
