Determine the factor of $x^{2} + 11 x + 30$ .

(x - 6) (x + 5)

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(x - 6) (x - 5)

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(x + 6)^{2} (x + 5)

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(x + 6) (x + 5)

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Solution

The correct option is D $(x + 6) (x + 5)$
$x^{2} + 11 x + 30$
$= x^{2} + 6 x + 5 x + 30$ (Rewrite $11 x$ as $6 x + 5 x$ to make grouping and factoring easier.)
$= x (x + 6) + 5 (x + 6)$
$= (x + 6) (x + 5)$
Therefore $x^{2} + 11 x + 30 = (x + 6) (x + 5)$

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