Problem #PRU-61140

Problems Calculus Real numbers Integer and fractional parts. Archimedean property Methods Pigeonhole principle Pigeonhole principle (angles and lengths)
 13–15  3.0

Problem

For what values of n does the polynomial (x+1)n−xn−1 divide by:

a) x2+x+1; b) (x2+x+1)2; c) (x2+x+1)3?