(m^2 14m 32) ÷ (m+2) =m^2 14m 32m+2 =m^2 16m+2m 32m+2 =m(m 16)+2(m 16)m+2 =(m 16)(m+2)m+2=m 16 ...

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Division of a Polynomial by a Monomial

m 2 -14m-32 ÷...

Question

$(m^{2} - 14 m - 32) \div (m + 2)$

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Solution

$(m^{2} - 14 m - 32) \div (m + 2)$
$= \frac{m^{2} - 14 m - 32}{m + 2}$

$= \frac{m^{2} - 16 m + 2 m - 32}{m + 2}$

$= \frac{m (m - 16) + 2 (m - 16)}{m + 2}$

$= \frac{(m - 16) (m + 2)}{m + 2} = m - 16$

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