Question 12
If x+1 is a factor of the polynomial $2 x^{2} + k x$ , then the value of k is

A) -3
B) 4
C) 2
D) -2

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Solution

The answer is C.
Let $p (x) = 2 x^{2} + k x$
Given,
$p (- 1) = 0$
$∴ 2 (- 1)^{2} + k (- 1) = 0$
$\Rightarrow 2 - k = 0 \Rightarrow k = 2$
Hence, the value of k is 2.

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