Given $x^{2} + 7 x + 12 = 0$ . Then factors of $x^{2} + 7 x + 12$ are :

(x + 2) (x + 1)

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(x + 3) (x + 2)

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(x + 4) (x + 3)

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None of these

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Solution

The correct option is B $(x + 4) (x + 3)$
$x^{2} + 7 x + 12 = x^{2} + 4 x + 3 x + 12$
$= x (x + 4) + 3 x (x + 4) = (x + 4) (x + 3)$

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