Question

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

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

Answer 1

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