Factorize the following
$2 x^{2} + 9 x + 10$

(x + 2) (2 x + 5)

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(x - 2) (2 x + 5)

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(x + 2) (2 x - 5)

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None of these

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Solution

The correct option is A $(x + 2) (2 x + 5)$
Given,
$2 x^{2} + 9 x + 10$

$5 \times 20$ ..........the split of the product of the coefficient of first and last term

$5 + 4 = 9$ ....................the split of the middle term

Now splitting the middle term we get

$= 2 x^{2} + 4 x + 5 x + 10$
$= 2 x (x + 2) + 5 (x + 2)$

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

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