1. The problem statement, all variables and given/known data is the set of all polynomials a ring,and a fieldd.Is is commutative and does it have unity 2. Relevant equations 3. The attempt at a solution now if we add or multiply any polynomials we get a polynomial. So it is a ring, but i am not sure what the multiplicative inverse is or whether every non zero element has an inverse to constitute a field.