Question

if (x-1)is a factor of polynomial 2x²+kx.then find the value of K.​

Answer 1

if (x-1) is a factor of 2x²+kx then

2x²+kx=0 when P(1)

p(1)=2(1)²+k(1)

0=2+k

k=-2

Answer 2

If

$x - 1 = 0 \\ x = 1$

Now substitute the value of x

$2 {x}^{2} + kx = 0 \\ = 2 {(1)}^{2} + k(1) = 0 \\ = 2 + k = 0 \\ k = - 2$