What is the remainder when (x3 1) is divided by (x2 - x 1) ?

The equation given is (x3 + 1). We need to divide it by (x2 - x + 1) to find the remainder. On factorisation of (x3 + 1) we get that, (x3 + 1) = (x+1) (x2 - x + 1). Since (x2 - x + 1) is dividing (x3+1) completely, so there is no remainder left.