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Algebraic Identities

Divide m2 -...

Question

Divide $(m^{2} - 14 m - 32)$ by $(m + 2)$

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Solution

We have $m^{2} - 14 m - 32 = m^{2} - 16 m + 2 m - 32$
$= m (m - 16) + 2 (m - 16)$
$= (m - 16) (m + 2)$
$(m^{2} - 14 m - 32) \div m + 2 = (m - 16) (m + 2) \div (m + 2)$
$= (m - 16)$

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

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