Reducibility of polynomial in rational field
38419
Existence of Polynomial with whom product contains only prime powers
38190
Discriminant of a monic irreducible integer polynomial vs. discriminant of its splitting field
100862
Polynomials with rational zeros
26999
How is the degree of the minimal polynomial related to the degree of a field extension?
100573
Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
91356
Irreducibility of an infinite sequence of polynomials
132572
Why this polynomial is irreducible?
154360
Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
86038
Family of irreducible polynomials
55858
Irreducible polynomial is always separable in char 0 field
73344
Definition of irreducible polynomial via the units of an integral domain.
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
28079
Do these definitions of irreducibility of algebraic sets coincide?
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$