List questions from irreducible-polynomials

Published on 27 Jul 2017 - 3:23

52

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Elements of a field when $p(x)$ = $x^2$ + $x$ + $2$ is irreducible in $Z_3[x]$.

Published on 27 Jul 2017 - 4:59

1.2k

Views

Calculating the number of irreducible polynomials over a finite field

Published on 27 Jul 2017 - 13:34

614

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Primitive roots of unity in Galois Theory

Published on 28 Jul 2017 - 19:35

216

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Degree of $\mathbb{Q}(\sqrt{1 + \sqrt{2}})$ over $\mathbb{Q}$

Published on 01 Apr 2026 - 11:33

643

Views

Factoring $x^{7} - 1$ into irreducibles over $\mathbb{F}_{2}[x]$

Published on 30 Jul 2017 - 20:13

128

Views

Is this polynomial irreducible?

Published on 31 Jul 2017 - 19:41

605

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Roots of the minimal polynomial of $\alpha$ are from the orbit of $\alpha$

Published on 02 Aug 2017 - 3:02

813

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Is $k[x,y]=k(y)[x]$, where $k$ is a field?

Published on 03 Aug 2017 - 15:57

719

Views

Probably Primitive Polynomials

Published on 03 Aug 2017 - 18:32

126

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Constructing reducible polynomial with two irreducible polynomial

Published on 28 Mar 2026 - 10:17

222

Views

Reduction of a polynomial modulo

Published on 07 Aug 2017 - 11:56

90

Views

Two questions on irreducibilities of polynomials over an integral domain.

Published on 08 Apr 2026 - 23:07

192

Views

Decidability of irreducibility in $Z[X]$

Published on 03 Apr 2026 - 9:27

387

Views

Zero set of homogeneous irreducible polynomial over reals

Published on 25 Mar 2026 - 15:54

List Question

Let $F = Z_3$. Is $f(x) = x^4 + x^3 + x + 2$ irreducible in $F[x]$?

Elements of a field when $p(x)$ = $x^2$ + $x$ + $2$ is irreducible in $Z_3[x]$.

Calculating the number of irreducible polynomials over a finite field

Primitive roots of unity in Galois Theory

Degree of $\mathbb{Q}(\sqrt{1 + \sqrt{2}})$ over $\mathbb{Q}$

Factoring $x^{7} - 1$ into irreducibles over $\mathbb{F}_{2}[x]$

Is this polynomial irreducible?

Roots of the minimal polynomial of $\alpha$ are from the orbit of $\alpha$

Is $k[x,y]=k(y)[x]$, where $k$ is a field?

Probably Primitive Polynomials

Constructing reducible polynomial with two irreducible polynomial

Reduction of a polynomial modulo

Two questions on irreducibilities of polynomials over an integral domain.

Decidability of irreducibility in $Z[X]$

Zero set of homogeneous irreducible polynomial over reals

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