Factorise $x^{2} + 4 x - 32$

(x + 4) (x + 8)

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(x - 8) (x + 4)

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(x - 2) (x + 16)

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(x - 4) (x + 8)

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Solution

The correct option is D $(x - 4) (x + 8)$
$x^{2} + 4 x - 32 \Rightarrow x^{2} + 8 x - 4 x - 8 \cdot 4$
$\Rightarrow x (x + 8) - 4 (x + 8)$
$\Rightarrow (x - 4) (x + 8)$

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