Exercise
What is the field of fractions of Z[X]?
Z(X)
Q[X]
Q(X)
This expression has not been defined.
In as much as it represents fractions of polynomials with integer coefficients, it also represents fractions of polynomials with rational coefficients. This leads to ...
No, polynomials of degree bigger than 0 are not invertible, so this is not a field.
Indeed.