Question

Divide −4a³ + 4a² + a by 2a.

Answer 1

$$\begin{gathered} \frac{\mathit{-}\mathit{4}{a}^{\mathit{3}}\mathit{+}\mathit{4}{a}^{\mathit{2}}\mathit{+}a}{\mathit{2}a} \\ \mathit{=}\frac{\mathit{-}\mathit{4}{a}^{\mathit{3}}}{\mathit{2}a}\mathit{+}\frac{\mathit{4}{a}^{\mathit{2}}}{\mathit{2}a}\mathit{+}\frac{a}{\mathit{2}a} \\ \mathit{=}\mathit{-}\mathit{2}{a}^{\mathit{(}\mathit{3}\mathit{-}\mathit{1}\mathit{)}}\mathit{+}\mathit{2}{a}^{\mathit{(}\mathit{2}\mathit{-}\mathit{1}\mathit{)}}\mathit{+}\frac{\mathit{1}}{\mathit{2}} \\ \mathit{=}\mathit{-}\mathit{2}{a}^{\mathit{2}}\mathit{+}\mathit{2}a\mathit{+}\frac{\mathit{1}}{\mathit{2}} \end{gathered}$$