Answer:
k = 7
Step-by-step explanation:
Given that,
f(x) = x²+kx+18
We need to find the value of k that would give a remainder of 6 when f(x) is divided by (x+4).
We can find it using the remainder theorem.
Taking f(-4) as follows :
f(-4) = (-4)²+k(-4)+18 = 6
16-4k+18=6
16+18-6 = 4k
4k =28
k = 7
So, the value of k is equal to 7.
