Question

Divide 5z³ − 6z² + 7z by 2z.

Answer 1

$$\begin{gathered} \frac{\mathit{5}{z}^{\mathit{3}}\mathit{-}\mathit{6}{z}^{\mathit{2}}\mathit{+}\mathit{7}z}{\mathit{2}z} \\ \mathit{=}\frac{\mathit{5}{z}^{\mathit{3}}}{\mathit{2}z}\mathit{-}\frac{\mathit{6}{z}^{\mathit{2}}}{\mathit{2}z}\mathit{+}\frac{\mathit{7}z}{\mathit{2}z} \\ \mathit{=}\frac{\mathit{5}}{\mathit{2}}{z}^{\mathit{(}\mathit{3}\mathit{-}\mathit{1}\mathit{)}}\mathit{-}\mathit{3}{z}^{\mathit{(}\mathit{2}\mathit{-}\mathit{1}\mathit{)}}\mathit{+}\frac{\mathit{7}}{\mathit{2}} \\ \mathit{=}\frac{\mathit{5}}{\mathit{2}}{z}^{\mathit{2}}\mathit{-}\mathit{3}z\mathit{+}\frac{\mathit{7}}{\mathit{2}} \end{gathered}$$