Determine the relation that exists between the nth finite difference and the leading coefficient.
... I'm not too sure how to html it up properly, but the numbers/"n"s following the "a"s are meant to be sub-script:
f(x) = anx^n + an-1x^n-1 + ... + a2x^2 + a1x + a0
The Attempt at a Solution
If someone could even tell me the proper direction for the line of thought here. All I can figure out thus far is that the difference is the same sign (positive or negative) of the coefficient. Any hints would be GREATLY appreciated!!!!