###### Example6.6.3

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*}
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