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Irreducible-polynomials
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proof that $\frac{x^p - 1}{x-1} = 1 + x + \dots + x^{p-1}$ is irreducible
August 1st, 2022
cyclotomic-polynomials
abstract-algebra
irreducible-polynomials
polynomials
factoring
Galois groups of $x^3-3x+1$ and $(x^3-2)(x^2+3)$ over $\mathbb{Q}$
June 5th, 2020
galois-theory
splitting-field
irreducible-polynomials
extension-field
abstract-algebra
$x^4+x^3+x^2+x+1$ irreducible over $\mathbb F_7$
August 7th, 2020
finite-fields
field-theory
polynomials
abstract-algebra
irreducible-polynomials
Why is $y^2-x^3\in \mathbb{C}[x,y]$ irreducible?
October 21st, 2021
irreducible-polynomials
$x^p-x+a$ irreducible for nonzero $a\in K$ a field of characteristic $p$ prime
March 11th, 2020
positive-characteristic
abstract-algebra
ring-theory
irreducible-polynomials
Why is the polynomial $2x^2 + 4$ reducible over $\mathbb{Z}$
August 1st, 2022
irreducible-polynomials
ring-theory
polynomials
abstract-algebra
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
June 4th, 2020
abstract-algebra
irreducible-polynomials
How do I find out if a polynomial is irreducible?
April 29th, 2020
polynomials
irreducible-polynomials
abstract-algebra
Show $x^6 + 1.5x^5 + 3x - 4.5$ is irreducible in $\mathbb Q[x]$.
August 1st, 2022
abstract-algebra
field-theory
irreducible-polynomials
polynomials
Proving irreducibility of $x^6-72$
August 1st, 2022
irreducible-polynomials
abstract-algebra
$f(x)=x^n+5x^{n-1}+3$ can't be expressed as the product of two polynomials
August 1st, 2022
polynomials
irreducible-polynomials
How can I show that the polynomial $p = x^5 - x^3 - 2x^2 - 2x - 1$ is irreducible over $\Bbb Q$?
February 6th, 2021
field-theory
galois-theory
irreducible-polynomials
There are no integral roots of $x^4-ax^3-bx^2-cx-d=0,$ given $a>b>c>d; \;\;a,b,c,d \in \mathbb N$
March 4th, 2020
irreducible-polynomials
polynomials
splitting field of a polynomial over a finite field
August 1st, 2022
splitting-field
galois-theory
finite-fields
irreducible-polynomials
Determine whether a polynomial is irreducible
August 8th, 2021
irreducible-polynomials
ring-theory
abstract-algebra
finite-fields
polynomials
Proof of Cohn's Irreducibility Criterion
January 25th, 2022
number-theory
abstract-algebra
elementary-number-theory
polynomials
irreducible-polynomials
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
August 1st, 2022
finite-fields
irreducible-polynomials
polynomials
Show that $x^{3}-3$ irreducible over $\mathbb{Q}(\sqrt{-3})$
August 14th, 2022
irreducible-polynomials
abstract-algebra
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
August 1st, 2022
ring-theory
field-theory
irreducible-polynomials
polynomials
linear-algebra
Irreducibility of Multivariable Polynomials
August 1st, 2022
abstract-algebra
irreducible-polynomials
polynomials
Is $x^3-9$ irreducible over the integers mod 31?
August 1st, 2022
polynomials
abstract-algebra
irreducible-polynomials
$x^n - a$ is irreducible over $\mathbb{Q}$?
August 1st, 2022
irreducible-polynomials
polynomials
Is $x^4+4$ an irreducible polynomial?
August 1st, 2022
polynomials
irreducible-polynomials
factoring
Proof that $x^4+1$ is irreducible over $\mathbb{Q}$
August 1st, 2022
polynomials
abstract-algebra
irreducible-polynomials
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
August 1st, 2022
abstract-algebra
ring-theory
irreducible-polynomials
polynomials
Field with $125$ elements
August 1st, 2022
irreducible-polynomials
abstract-algebra
field-theory
finite-fields
Is $X$ irreducible in $R[X]$?
August 1st, 2022
abstract-algebra
ring-theory
irreducible-polynomials
Explaining Newton Polygon for proving irreducibility of polynomial in $\mathbb{Z}[x]$ in elementary way
August 2nd, 2020
polynomials
irreducible-polynomials
intuition
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
August 1st, 2022
field-theory
irreducible-polynomials
extension-field
Reducibility of $x^{2n} + x^{2n-2} + \cdots + x^{2} + 1$
August 1st, 2022
irreducible-polynomials
factoring
experimental-mathematics
polynomials
algebra-precalculus
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