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Division of a Polynomial by a Monomial

Divide 6a4-...

Question

Divide $6 a^{4} - 2 a^{2} - a$ by $a^{2}$

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Solution

$= \frac{6 a^{4} - 2 a^{2} - a}{a^{2}}$
$= \frac{6 a^{4}}{a^{2}} - \frac{2 a^{2}}{a^{2}} - \frac{a}{a^{2}}$
$= 6 a^{2} - 2 - \frac{1}{a}$

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