Find number of polynomials in $P_n(F)$ where $F$ is a finite field with cardinality $m$.
51770
Number of elements in a finite field extension for finite fields
6855
Subfields of finite fields
155575
Proving a polynomial $f(x)$ composite for infinitely many $x$
39573
Finding Generator of finite field
73454
Prove that $f$ has finite number of roots
80397
Show that this set of polynomials is ideal in F[x]
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
141984
Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
7389
Finding the limit of $\frac{Q(n)}{P(n)}$ where $Q,P$ are polynomials
155444
Show that entire function $f$ is a polynomial of degree at most $n$
8494
Proof Check: Number of elements of $\mathbb{F}_{p^{n}}$ of the form $a^{p}-a$ for some $a \in \mathbb{F}_{p^{n}}$.
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
48873
Let $K$ be a field and $f(x)\in K[X]$ be a polynomial of degree $n$. And let $F$ be its splitting field. Show that $[F:K]$ divides $n!$.
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
99756
Squarefree polynomials over finite fields