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The factors of the polynomial $2 x^{2} - 5 x - 12$ are________.

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(x − 4) and (2x + 3)

(x + 4) and (2x + 3)

(x − 4) and (2x - 3)

(x + 4) and (2x - 3)

answer is A.

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Detailed Solution

$\begin{matrix} Given, 2 x^{2} - 5 x - 12 \\ = 2 x^{2} + 3 x - 8 x - 12 \\ = x (2 x + 3) - 4 (2 x + 3) \\ = (x - 4) (2 x + 3) \end{matrix}$

Thus, the factors are (x − 4) and (2x + 3).

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