Answer:
k = - 20
Step-by-step explanation:
(x - h) is a factor of f(x), then by the remainder theorem f(a) = 0 , then
substituting x = 2 into f(x) and equating to zero, gives
3(2)³ - 2(2) + k = 0
3(8) - 4 + k = 0
24 - 4 + k = 0
20 + k = 0 ( subtract 20 from both sides )
k = - 20
