Question 16798
It looks like you did it right.  There is just one very small error in your solution:


I think it should be f(x)=d(x-1)(x-2)(x-4) so d(0-1)(0-2)(0-4) = f(0) = -16
So -6d = -16
d = 8/3


How about -8d = -16??
d= 2!!