Find the factors of $3 x^{2} - 3 x - 90$ .

(x + 6) (x - 5)

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3 (x - 6) (x + 5)

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3 (x + 6) (x - 5)

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(x - 6) (x + 5)

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Solution

The correct option is B $3 (x - 6) (x + 5)$
$3 x^{2} - 3 x - 90$
$= 3 (x^{2} - x - 30) \Rightarrow 3 (x^{2} - 6 x + 5 x - 6 * 5)$
$= 3 [x (x - 6) + 5 (x - 6)]$
$= 3 (x - 6) (x + 5)$

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