Answer:
k = - 198
Explanation:
given that (x - 11) is a factor of the polynomial then f(11) = 0
substitute x = 11 into the polynomial and solve for k
11³ - 13(11)² + 40(11) + k = 0
1331 - 13(121) + 440 + k = 0
1331 - 1573 + 440 + k = 0
- 242 + 440 + k = 0
198 + k = 0 ( subtract 198 from both sides )
k = - 198