If $(x - 2)$ is a factor of $x^{2} + 4 x - 2 k$ , then the value of k is

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Solution

The correct option is B 6
Given, $x - 2$ is a factor of $p (x) = x^{2} + 4 x - 2 k$

now, $(x - 2) = 0 \Rightarrow x = 2$

$∴ p (2) = 0$ (by factor therom)

$\Rightarrow (2)^{2} + 4 (2) - 2 k = 0$

$\Rightarrow 4 + 8 - 2 k = 0$

$\Rightarrow 2 k = 12$

$\Rightarrow k = 6$

Option $D$ is correct.

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