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Division of a Polynomial by a Monomial

Simplify: 3x...

Question

Simplify: $(3 x^{2} - x) \div (- x)$ .

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Solution

$= \frac{3 x^{2} - x}{- x}$
$= \frac{x (3 x - 1)}{- x}$
$= \frac{3 x - 1}{- 1}$
$= - (3 x - 1)$
$= - 3 x + 1 = 1 - 3 x$

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