The factored form of $x^{2} + 8 x + 12$ is

(x + 2) (x - 6)

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(x + 2) (x + 6)

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(x - 2) (x + 6)

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(x - 2) (x - 6)

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Solution

The correct option is B $(x + 2) (x + 6)$
$x^{2} + 8 x + 12$
$= x^{2} + 2 x + 6 x + 12$ (Rewrite $8 x$ as $2 x, 6 x$ to make grouping and factoring easier.)
$= x (x + 2) + 6 (x + 2)$
$= (x + 2) (x + 6)$
The factored form of $x^{2} + 8 x + 12$ is $(x + 2) (x + 6)$

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