Answer:
The value of k is -8.
Step-by-step explanation:
Given;
f(x) = 3x² + 9x + k
factor of the function = x + 1
remainder of the function = -14
let x + 1 = 0
x = -1
f(-1) = 3(-1)² + 9(-1) + k = -14
3(-1)² + 9(-1) + k = -14
3 - 9 + k = -14
-6 + k = -14
k = -14 + 6
k = -8
Therefore, the value of k is -8.
