Answer:
k = 10
Explanation:
For f(x) = x³ + kx² - kx - 93 to be divisible by (x+3) with no remainder, it means that at (x + 3) is a factor of the polynomial f(x).
Thus, it means that at x = -3, f(x) must be equal to zero.
Thus;
(-3)³ + k(-3)² - k(-3) - 93 = 0
-27 + 9k + 3k - 93 = 0
12k - 120 = 0
12k = 120
k = 120/12
k = 10