Factorize the following
$18 x^{2} - x - 4$

(9 x + 4) (2 x - 1)

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(9 x - 4) (2 x - 1)

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(9 x + 4) (2 x + 1)

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None of these

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Solution

The correct option is D $(9 x + 4) (2 x - 1)$
Given,
$18 x^{2} - x - 4$

$- 9 + 8 = - 1$ .................the split for the middle term

$- 4 \times 18 = - 9 \times 8 = - 72$ .............the product of the coefficient of the first and last term

Now, splitting the middle term we get
$= 18 x^{2} - 9 x + 8 x - 4$
$= 9 x (2 x - 1) + 4 (2 x - 1)$

$= (2 x - 1) (9 x + 4)$

Suggest Corrections

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