Question:
Divide x + 2x2 + 3x4 − x5 by 2x.
Solution:
$\frac{x+2 x^{2}+3 x^{4}-x^{5}}{2 x}$
$=\frac{x}{2 x}+\frac{2 x^{2}}{2 x}+\frac{3 x^{4}}{2 x}-\frac{x^{5}}{2 x}$
$=\frac{1}{2}+x+\frac{3}{2} x^{3}-\frac{1}{2} x^{4}$
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