Question

U^3+3u^2-6 / u-6 long division

Answer 1

Given the expression:

$\frac{u^3+3u^2-6}{u-6}$

We use the long-division method to find the quotient and the rest:

Then, the quotient Q(u) and the remainder R(u) are:

$\begin{gathered} Q(u)=u^2+9u+54 \\ \\ R\left(u\right)=318 \end{gathered}$