There are two parts for this question.
1. show that, for any constant a and any natural number n, x - a is a factor of x^n - a^n.
2. find conditions(if any) on n that are required in order that:
i. x + a is a factor of x^n - a^n
ii. x + a is a factor of x^n - a^n
this is probably a big ask but I really really want to understand the theory behind this so I really need to get this properly explained!
thanks in advance!!