How does one go about factoring Q(x) = x^3 - x^2 - x + 1. Also, My book says that since Q(1) = 0, we know that x - 1 is a factor. Why do we know this? More specifically, my two questions are (1) why does the fact that Q(1) = 0 mean that x - 1 is a factor, and (2) could you please give a step by step procedure on how to factor this equation.
Thanks so much for your time,