Factors of $12 - 4 x - 5 x^{2}$ are:

(x + 1) (5 - 4 x)

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(x + 2) (6 - 5 x)

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(3 x + 4) (4 - x)

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None of these

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Solution

The correct option is A $(x + 2) (6 - 5 x)$
$12 - 4 x - 5 x 2 = - (5 x^{2} + 4 x - 12)$
$= - (5 x^{2} + l 0 x - 6 x - 12)$
$= - [5 x (x + 2) - 6 (x + 2)]$
$= - [(x + 2) (5 x - 6)] = (x + 2) (6 - 5 x)$

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