Hi, 1. The problem statement, all variables and given/known data I am asked to show that P[x0,x1,...,xn] = 0 for P(x) [itex]\in[/itex]∏n-1 without directly using the property that the divided difference over n+1 nodes is the nth derivative. The hint says to use the formula for the error. 2. Relevant equations 3. The attempt at a solution I am not quite sure how to approach this. I am familiar with the expression for the error. I am also familiar with Rolle's Theorem, or Mean Value Theorem, but am I allowed/supposed to use that based on the indications in the question? I'd appreciate some guidance. Thanks!