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Division of a Polynomial by a Monomial

5x3 - 15x2 + ...

Question

$5 x^{3} - 15 x^{2} + 25 x b y 5 x$

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Solution

$5 x^{3} - 15 x^{2} + 25 x b y 5 x$

$= \frac{5 x^{3} - 15 x^{2} + 25 x}{5 x}$

$= \frac{5 x^{3}}{5 x} - \frac{15 x^{2}}{5 x} + \frac{25 x}{5 x} = x^{2} - 3 x + 5$

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