If (x + 1) is a factor of the polynomial (2x^2 + kx) then k = ? - Vidyadip

MCQ

If $(x + 1)$ is a factor of the polynomial $(2x^2 + kx)$ then $k = ?$

A
$4$
B
$-3$
✓
$2$
D
$-2$

✓

Answer

Correct option: C.

$2$

Let $p(x) = 2x^2 + kx$
Since $(x + 1)$ is a factor of $p(x),$
$= P(-1) = 0$
$⇒ 2(-1)^2 + k(-1) = 0$
$⇒ 2 - k = 0$
$⇒ k = 2$

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