Question

if x-2 is a factor of2x^3-4x^2+x+k.then what is the value of k?​

Answer 1

Answer:

$x - 2 = 0 \\ x = 2 \\ 2 {x}^{3} - 4 {x}^{2} + 4 + k = 0 \\ {2(2)}^{3} - 4(2 {)}^{2} + 4 + k = 0 \\ 2(8) - 4(4) + 4 + k =0 \\ 16 - 16 + 4 + k =0 \\ 4 + k = 0 \\ k = - 4$