List questions from irreducible-polynomials

Published on 21 Mar 2020 - 20:06

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Prove polynomial is irreducible?

Published on 21 Mar 2020 - 21:09

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Eisenstein's Criterion with an example

Published on 26 Mar 2026 - 23:45

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Show $y^3+xy+x^2(x-1)^2\in\mathbb{R}[x,y]$ is irreducible

Published on 25 Mar 2020 - 18:46

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Prove that $X^n+aX^{n-1}+\cdots+aX-1$ is irreducible in $\mathbb{Z}[X]$.

Published on 26 Mar 2020 - 17:36

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Irreducibility of polynomial $x^n+x+3$ for $n>1$

Published on 26 Mar 2020 - 23:01

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Understanding the logic behind showing that $x^2 + x + 2$ is primitive in $\mathbb{F}_5$

Published on 28 Mar 2026 - 6:24

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What is the $p$-adic density of irreducible polynomials congruent to $g(x)^n$ modulo $p$?

Published on 25 Mar 2026 - 1:20

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Factor $x^{6}+2$ as a product of irreducible polynomials over C and R

Published on 30 Mar 2020 - 12:29

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A problem about irreducible polynomials over a finite field.

Published on 01 Apr 2020 - 2:51

183

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Irreducible polynomial proof check

Published on 01 Apr 2020 - 3:17

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Number of irreducible polynomials over $\mathbb{F}_{p}$

Published on 01 Apr 2020 - 9:01

195

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Prove a polynomial is irreducible

Published on 01 Apr 2020 - 11:26

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Find a polynomial of degree 5 that is irreducible over $\mathbb{Z}_3$.

Published on 02 Apr 2020 - 2:42

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Definition of irreducible - inclusive or exclusive or?

Published on 03 Apr 2020 - 13:58

List Question

Sanity check the description of $\Bbb{Z}_2[x]/\langle x^3+x+1\rangle$.

Prove polynomial is irreducible?

Eisenstein's Criterion with an example

Show $y^3+xy+x^2(x-1)^2\in\mathbb{R}[x,y]$ is irreducible

Prove that $X^n+aX^{n-1}+\cdots+aX-1$ is irreducible in $\mathbb{Z}[X]$.

Irreducibility of polynomial $x^n+x+3$ for $n>1$

Understanding the logic behind showing that $x^2 + x + 2$ is primitive in $\mathbb{F}_5$

What is the $p$-adic density of irreducible polynomials congruent to $g(x)^n$ modulo $p$?

Factor $x^{6}+2$ as a product of irreducible polynomials over C and R

A problem about irreducible polynomials over a finite field.

Irreducible polynomial proof check

Number of irreducible polynomials over $\mathbb{F}_{p}$

Prove a polynomial is irreducible

Find a polynomial of degree 5 that is irreducible over $\mathbb{Z}_3$.

Definition of irreducible - inclusive or exclusive or?

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