Question

If x – 2 is a factor of the polynomial 2x3 – 2x + k,
then the value of k is
(1) 12 (2) 2
(3) –12 (4) 8

Answer 1

2x³-2x+k
x-2 is a factor of the polynomial
So we can take x =2
2(2)³-2(2)+k
2(8)-4+k
16-4+k
12+k=0
k=-12