Factorize the following
$8 x^{2} + 29 x - 12$

(8 x - 3) (x + 4)

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(8 x + 3) (x + 4)

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(8 x - 3) (x - 4)

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None of these

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Solution

The correct option is A $(8 x - 3) (x + 4)$
$8 x^{2} + 29 x - 12$

$32 + - 3 = 29$ ...........the split for the middle term

$32 \times - 3 = - 108$ .............the product of the coefficient of the first and last term
Now, splitting the middle term we get

$= 8 x^{2} + 32 x - 3 x - 12$
$= 8 x (x + 4) - 3 (x + 4)$

$= (x + 4) (8 x - 3)$

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