About existence of an irreducible polynomial of degree $n$ in $Z_p[x]$
10885
Existence of irreducible polynomials over finite field
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
8164
Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
81063
If $p$ is a polynomial, then either $\,p(z)=z^n\,$ or $\,\max_{|z|=1}|p(z)|>1$.
40502
The Degree of Zero Polynomial.
118950
Irreducibility criteria for polynomials with several variables.
124380
existence of sequence of polynomial
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
121304
Is the set of polynomials of degree less than or equal to $n$ closed?
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
120627
Reducibility of polynomials modulo p