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New posts in irreducible-polynomials
When is a cyclotomic polynomial over a finite field a minimal polynomial? [duplicate]
abstract-algebra
polynomials
finite-fields
irreducible-polynomials
cyclotomic-polynomials
Show that $2x^6+12x^5+30x^4+60x^3+80x^2+30x+45=0$ has no real roots
polynomials
irreducible-polynomials
Eisenstein criterion and Newton polygon
field-theory
algebraic-number-theory
irreducible-polynomials
p-adic-number-theory
Prove polynomial is irreducible?
polynomials
irreducible-polynomials
Irreducibilty of polynomial $x^9-6x^6+282x^3-8$ over $\mathbb {Q} $
field-theory
algebraic-number-theory
irreducible-polynomials
Is $\sum_{r=1}^nrx^{r-1}$ always irreducible (over the integers)? [duplicate]
reference-request
polynomials
irreducible-polynomials
open-problem
Sets of Prime Numbers Generated By an Irreducible Monic Polynomial
prime-numbers
algebraic-number-theory
irreducible-polynomials
Families of Polynomials Irreducible in $\mathbb{Z}$ but reducible in $\mathbb{Z}/p\mathbb{Z}$ for all primes $p$.
polynomials
field-theory
irreducible-polynomials
Prove $x^5-2$ is irreducible over $\mathbb{Z}_{31}$
modular-arithmetic
irreducible-polynomials
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
abstract-algebra
ring-theory
irreducible-polynomials
Is $x^n-\sum_{i=0}^{n-1}x^i$ irreducible in $\mathbb{Z}[x]$, for all $n$?
number-theory
elementary-number-theory
polynomials
irreducible-polynomials
An irreducible $f\in \mathbb{Z}[x]$, whose image in every $(\mathbb{Z}/p\mathbb{Z})[x]$ has a root?
number-theory
irreducible-polynomials
Polynomial is irreducible over $\mathbb{Q}$
polynomials
irreducible-polynomials
Homogeneous polynomial in $k[X,Y,Z]$ can factor into linear polynomials?
abstract-algebra
algebraic-geometry
polynomials
commutative-algebra
irreducible-polynomials
Show that $x^4-x^2+1$ is irreducible over $\mathbb{Q}$
abstract-algebra
proof-verification
field-theory
irreducible-polynomials
Irreducibility of $x^{2n}+x^n+1$
field-theory
finite-fields
irreducible-polynomials
Irreducible polynomial modulo every prime?
abstract-algebra
polynomials
irreducible-polynomials
How to prove a polynomial irreducible over $\mathbb{C}$
polynomials
irreducible-polynomials
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
abstract-algebra
irreducible-polynomials
Irreducibility of $f(x)=x^4+3x^3-9x^2+7x+27$
abstract-algebra
polynomials
irreducible-polynomials
rational-numbers
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