Question

The ring Z[x] is
1. a PID
2. a UFD
3. a PID and a UFD
4. none of these

Answer 1

Correct Answer - Option 2 : a UFD

The set Z[x] of all polynomials with integer coefficients is a ring with the usual operations of addition and multiplication of polynomials. It is a unique factorization domain (UFD).

The set Q[x] of all polynomials with rational coefficients is a ring with the usual operations of addition and multiplication of polynomials.