If 2 is a zero of the polynomial $2 x^{2} + k x - 14$ , then the value of k is :

-3

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Solution

The correct option is B 3
$p (x) = 2 x^{2} + k x - 14$ .
Since $2$ is a zero of $p (x)$ ,
$p (2) = 0$ .
$\Rightarrow 2 (2)^{2} + k (2) - 14 = 0$
$\Rightarrow 2 k = 14 - 8$
or, $k = 3$ .

Therefore, option $B$ is correct.

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