Define the following

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Question:

Divide 5z3 − 6z2 + 7z by 2z.

Solution:

$\frac{5 z^{3}-6 z^{2}+7 z}{2 z}$

$=\frac{5 z^{3}}{2 z}-\frac{6 z^{2}}{2 z}+\frac{7 z}{2 z}$

$=\frac{5}{2} z^{(3-1)}-3 z^{(2-1)}+\frac{7}{2}$

$=\frac{5}{2} z^{2}-3 z+\frac{7}{2}$

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