Given a polynomial of m terms where no combination of those terms add to zero. Can the expansion of that same polynomial, where exponent n = a positive integer, ever contain two or more terms that add to zero ?
My instincts say "of course not" but I have no idea how to go about proving it. A simple proof may be staring me right in the face and I just can't see it!
Any suggestions or comments steering me in the right direction will be very much appreciated.