Polynomials divisible by.... 1. The problem statement, all variables and given/known data 1) Explain why [tex]n^3 - n[/tex] is always divisible by 3 for any n that is an element of the natural numbers. 2) Give 2 other polynomials that are always divisble by 3. 3) Give 2 polynomials that are divisible by 2 but not 4, and 2 other polynomials that are divisible by 2 and 4. 2. Relevant equations [tex]n^3 - n[/tex] 3. The attempt at a solution Im just really confused and dont know where to start with this one. I just need some hints to finding out why [tex]n^3 - n[/tex] is divislble by three. And some help for finding a method for finding polynomials divisible by a specific number (if such a method exists).