List questions from irreducible-polynomials

Published on 15 Apr 2018 - 7:47

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Irreducible factors of characteristic polynomial and minimal polynomial are same?

Published on 16 Apr 2018 - 6:13

66

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Nilpotent element $a^2$ in a polynomial quotient ring

Published on 19 Apr 2018 - 16:25

47

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Euclidean Division Rest Question

Published on 21 Apr 2018 - 10:05

42

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About a form of a real irreducible polynomial

Published on 21 Apr 2018 - 12:44

600

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Irreducibility for cubics and existence of inflection points

Published on 21 Apr 2018 - 14:37

841

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Quotient ring is a field

Published on 23 Apr 2018 - 0:14

64

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show that $x^2+x+1 \in F[x]$ is irreducible

Published on 24 Apr 2018 - 20:30

119

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Abstract Algebra question: If F(x) is the field of rational functions with coefficients in a field F, what is F(x)[t]?

Published on 24 Apr 2018 - 23:00

971

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How can I show that the polynomial $t^n-x$ is irreducible in $F(x)[t]$?

Published on 25 Apr 2018 - 2:45

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Show that $x^3-a$ is irreducible in $\mathbb{Z}_7$ unless $a=0$ or $\pm1$

Published on 25 Apr 2018 - 4:53

623

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Elementary proof of "irreducible polynomials remain irreducible over transcendental extension"?

Published on 25 Apr 2018 - 13:57

310

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Is polynomial $x^{2n-1}-4nx^{2n-2}-2\binom{2n}{3}x^{2n-4}-\dots-2\binom{2n}{3}x^{2}-4n$ irreducible?

Published on 25 Apr 2018 - 19:14

59

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Irreducible polynomial method.

Published on 27 Apr 2018 - 18:56

279

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On the irreducibility of a polynomial that almost satisfies Eisenstein's Criterion

Published on 28 Apr 2018 - 5:10

List Question

Irreducibility of $f(x)=x^n-p^m$

Irreducible factors of characteristic polynomial and minimal polynomial are same?

Nilpotent element $a^2$ in a polynomial quotient ring

Euclidean Division Rest Question

About a form of a real irreducible polynomial

Irreducibility for cubics and existence of inflection points

Quotient ring is a field

show that $x^2+x+1 \in F[x]$ is irreducible

Abstract Algebra question: If F(x) is the field of rational functions with coefficients in a field F, what is F(x)[t]?

How can I show that the polynomial $t^n-x$ is irreducible in $F(x)[t]$?

Show that $x^3-a$ is irreducible in $\mathbb{Z}_7$ unless $a=0$ or $\pm1$

Elementary proof of "irreducible polynomials remain irreducible over transcendental extension"?

Is polynomial $x^{2n-1}-4nx^{2n-2}-2\binom{2n}{3}x^{2n-4}-\dots-2\binom{2n}{3}x^{2}-4n$ irreducible?

Irreducible polynomial method.

On the irreducibility of a polynomial that almost satisfies Eisenstein's Criterion

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