###### Example 6.6.3

Simplify \(\dfrac{2x^3+4x^2-10x}{2}\text{.}\)

The first step will be to recognize that the \(2\) we're dividing by will be divided into every term of the numerator. Once we recognize that, we will simply perform that division.

\begin{align*}
\frac{2x^3+4x^2-10x}{2}\amp=\frac{2x^3}{2}+\frac{4x^2}{2}+\frac{-10x}{2}\\
\amp=x^3+2x^2-5x
\end{align*}