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Roots of Quadratic Equation

Simplify the ...

Question

Simplify the following expressions:
$(m^{2} + 5 m - 14) \div (m + 7)$

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Solution

$\frac{(m^{2} + 5 m - 14)}{m + 7}$
$= \frac{(m^{2} + 7 m - 2 m - 14)}{m + 7}$
$= \frac{m (m + 7) - 2 (m + 7)}{m + 7}$
$= \frac{(m + 7) (m - 2)}{m + 7}$
$= m - 2$

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