Let p be a prime integer and Zp[x] be the polynomial ring over the field Zp. Then which of the following is true?

(A) For any positive integer n, there is an irreducible polynomial in Zp[x] of degree n

Q13Section II (Mathematics)13 of 145

$\mathbb F_{p^n}$ exists for every $n$ , so irreducibles of every degree exist

Let $p$ be a prime integer and $\mathbb{Z}_p[x]$ be the polynomial ring over the field $\mathbb{Z}_p$ . Then which of the following is true?

Pick an option to check your answer.

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