# Math Help - polynomial

1. ## polynomial

For what values of m(m ∈ Z, m >= 0) is polynomial $(x+1)^m-x^m-1$ dividable with $(x^2+x+1)^3$

2. Wite $(x^2+ x+ 1)^3$ as $((x+ 1)+ x^2)^3= (x+1)^3+ 3x^2(x+1)^2+ 3x^4(x+1)+ x^6$ The first thing that occurs to me is that m should be a multiple of 3.