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.
$2$
If $p(x) = x + 1$ is a factor of $2x^2 + kx,$ then$ p(-1) = 0$
$⇒ 2(-1)^2 + k(-1) = 0$
$⇒ 2 - k = 0$
$⇒ k = 2$
$⇒ 2(-1)^2 + k(-1) = 0$
$⇒ 2 - k = 0$
$⇒ k = 2$
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