Answer:
k = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
I assume the function is
f(x) = 2x³ - kx² + x - 8k
2(2)³ - k(2)² + 2 - 8k = 2
- 12k + 16 = 0
3k - 4 = 0 ⇒ k = [tex]\frac{4}{3}[/tex]