Factorize the following
$5 x^{2} + 22 x + 8$

(5 x + 2) (x + 4)

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(5 x - 2) (x + 4)

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(5 x + 2) (x - 4)

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None of these

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Solution

The correct option is A $(5 x + 2) (x + 4)$
$5 x^{2} + 22 x + 8$

$20 \times 2 = 5 \times 8 = 40$ .............the product of the coeffecient of first and last term

$20 + 2 = 22$ ....................the split of middle term

Now, splitting the middle term we get,

$= 5 x^{2} + 20 x + 2 x + 8$

$= 5 x (x + 4) + 2 (x + 4)$

$= (x + 4) (5 x + 2)$

Suggest Corrections

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