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Division of a Polynomial by a Monomial

Work out the ...

Question

Work out the following divisions:
$(8 x^{4} y z - 4 x y^{3} z + 3 x^{2} y z^{4}) \div (x y z)$

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Solution

$\frac{8 x^{4} y z - 4 x y^{3} z + 3 x^{2} y z^{4}}{x y z}$
$= \frac{8 x^{4} y z}{x y z} - \frac{4 x y^{3} z}{x y z} + \frac{3 x^{2} y z^{4}}{x y z}$
$= 8 x^{3} - 4 y^{2} + 3 x z^{3}$

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