Let f(n)=n^3-5n^2+2n+8, and let g(n)=n^3-6n^2+5n+12. What is the sum of all integer values of n for which \dfrac{f(n)}{g(n)} is also an integer?
Answer Choices:
A. 2
B. 3
C. 4
D. 5
E. 6
Let f(n)=n^3-5n^2+2n+8, and let g(n)=n^3-6n^2+5n+12. What is the sum of all integer values of n for which \dfrac{f(n)}{g(n)} is also an integer?
Answer Choices:
A. 2
B. 3
C. 4
D. 5
E. 6