List questions from irreducible-polynomials

Published on 29 Jan 2017 - 16:54

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Roots of a two variable equation

Published on 01 Feb 2017 - 3:20

54

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Are these polynomials irreducible in $\mathbb{R}[x,y]$?

Published on 01 Feb 2017 - 14:58

1.8k

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What are the irreducible elements in $\mathbb{R}[x]$ and $\mathbb{C}[x]$?

Published on 03 Feb 2017 - 11:00

3.5k

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Find the polynomials which satisfy the condition $f(x)\mid f(x^2)$

Published on 04 Feb 2017 - 2:34

839

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Irreducibilty of $x^2+1$ over $\mathbb{F}_p$ with $p \equiv 3 \mod 4$

Published on 04 Feb 2017 - 5:25

1.2k

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Is there a systematic way to find irreducible polynomials?

Published on 06 Feb 2017 - 11:10

1.2k

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If all the generators of an ideal are irreducible, then is the ideal prime?

Published on 01 Apr 2026 - 0:26

349

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Show that $f(x)=x^4-4x^2+8x+2$ is irreducible in $K=\mathbb Q(\sqrt 2 i)$.

Published on 09 Feb 2017 - 11:40

53

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$\mathbb{F}_2(x)$ is not separable in the field $\mathbb{F}_2(x^2)$

Published on 10 Feb 2017 - 17:02

238

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Geometric interpretation of the quotient and remainder when dividing a polynomial by a quadratic

Published on 26 Mar 2026 - 4:53

308

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The Set of Zeros of an Ideal Generated by Two Irreducible Polynomials in $\mathbb{A}^2$

Published on 26 Mar 2026 - 19:12

41

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Factoring irreducible fractions

Published on 12 Feb 2017 - 20:39

1k

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Are distinct irreducible monic polynomials relatively prime?

Published on 13 Feb 2017 - 17:27

59

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Polynomials over $k$ and over $M_n(k)$

Published on 15 Feb 2017 - 20:53

List Question

Irreducibility over $\mathbb{Q}(i)$

Roots of a two variable equation

Are these polynomials irreducible in $\mathbb{R}[x,y]$?

What are the irreducible elements in $\mathbb{R}[x]$ and $\mathbb{C}[x]$?

Find the polynomials which satisfy the condition $f(x)\mid f(x^2)$

Irreducibilty of $x^2+1$ over $\mathbb{F}_p$ with $p \equiv 3 \mod 4$

Is there a systematic way to find irreducible polynomials?

If all the generators of an ideal are irreducible, then is the ideal prime?

Show that $f(x)=x^4-4x^2+8x+2$ is irreducible in $K=\mathbb Q(\sqrt 2 i)$.

$\mathbb{F}_2(x)$ is not separable in the field $\mathbb{F}_2(x^2)$

Geometric interpretation of the quotient and remainder when dividing a polynomial by a quadratic

The Set of Zeros of an Ideal Generated by Two Irreducible Polynomials in $\mathbb{A}^2$

Factoring irreducible fractions

Are distinct irreducible monic polynomials relatively prime?

Polynomials over $k$ and over $M_n(k)$

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