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New posts in irreducible-polynomials
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
abstract-algebra
field-theory
extension-field
irreducible-polynomials
Field with $125$ elements
abstract-algebra
field-theory
finite-fields
irreducible-polynomials
Number of monic irreducible polynomials over a finite field
abstract-algebra
polynomials
irreducible-polynomials
computer-algebra-systems
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
field-theory
extension-field
irreducible-polynomials
$x^{p-1} + ... + x^2 + x + 1$ is irreducible using Eisenstein's criterion? [duplicate]
abstract-algebra
polynomials
ring-theory
irreducible-polynomials
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
galois-theory
finite-fields
irreducible-polynomials
cyclotomic-polynomials
splitting-field
Let $\mathbb{F}_2 \cong \mathbb{Z}/2\mathbb{Z}$. Is $x^4+x^2+1$ irreducible in $\mathbb{F}_2[x]$?
abstract-algebra
finite-fields
irreducible-polynomials
Analogue of Fermat's primality test for polynomials and irreducibility
abstract-algebra
irreducible-polynomials
computer-algebra-systems
primality-test
A question from the mod p irreducibility test's proof
polynomials
irreducible-polynomials
How could it possible to factorise $x^8-1$ in product of irreducibles in the rings $(\mathbb{Z}/2\mathbb{Z})[x]$ and $(\mathbb{Z}/3\mathbb{Z})[x]$? [closed]
abstract-algebra
polynomials
irreducible-polynomials
Show that the polynomial $(x-1)(x-2) \cdots (x-n)-1$ is irreducible on $\mathbb{Z}[x]$ for all $n \geq 1$ [duplicate]
polynomials
irreducible-polynomials
Show that $9+9x+3x^3+6x^4+3x^5+x^6$ is irreducible given one of its roots
abstract-algebra
field-theory
irreducible-polynomials
Show that $\mathbb{Q}(\sqrt2, \sqrt[3]2)$ is a primitive field extension of $\mathbb{Q}$.
abstract-algebra
polynomials
field-theory
galois-theory
irreducible-polynomials
Prove $X^2+Y^2-1$ is irreducible using geometrical tools.
algebraic-geometry
algebraic-curves
irreducible-polynomials
Irreducibility of $x^n＋px＋p^2(n≧3)$ and newton polygon
field-theory
algebraic-number-theory
irreducible-polynomials
p-adic-number-theory
Is $x^3-9$ irreducible over the integers mod 31?
abstract-algebra
polynomials
irreducible-polynomials
How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?
abstract-algebra
polynomials
ring-theory
finite-fields
irreducible-polynomials
Simple extension of $\mathbb{Q} (\sqrt[4]{2},i)$
abstract-algebra
field-theory
galois-theory
extension-field
irreducible-polynomials
Is $(p^{\frac{p^2+1}{p^5-1}}-x^{p^3})^{p^2}+p^{p^2+1}x-p^{p^2+\frac{p^2+1}{p^5-1}} $ eisenstein?
number-theory
irreducible-polynomials
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
field-theory
factoring
irreducible-polynomials
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