List questions from irreducible-polynomials

Published on 23 Oct 2013 - 14:06

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Finding a polynomial with given Galois group

Published on 23 Oct 2013 - 15:31

130

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Irreducibility of Polynomial in $\mathbb{Q}$

Published on 23 Oct 2013 - 16:55

174

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Is $x^4 +15x +25$ irreducible in $\mathbb{Q}[x]$?

Published on 24 Oct 2013 - 2:11

236

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Is $x^{20} +x^{15}+ x^{10}+x^5+1$ irreducible in $\mathbb{Q}[x]$?

Published on 24 Oct 2013 - 3:55

438

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Why $x^{p-1}+x^{p-2}+\cdots+1$ is irreducible over $\mathbb{Q}$?

Published on 26 Oct 2013 - 14:03

762

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Primitive polynomial

Published on 27 Oct 2013 - 22:50

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$x^6+x^3+1$ is irreducible over $\mathbb{Q}$

Published on 01 Nov 2013 - 18:01

2.5k

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Proof for minimal polynomial $\mathbb{F}_q$

Published on 03 Nov 2013 - 16:57

113

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Factorization of a polynomial into irreducible factors

Published on 04 Nov 2013 - 3:03

318

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Reducibility of $x^6+x^3+1$ over various fields

Published on 04 Nov 2013 - 19:25

932

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Necessary and sufficient conditions for a polynomial $f(x) \in \mathbb{Z}[x]$ to be irreducible.

Published on 04 Nov 2013 - 21:01

128

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Decompose $X^{5}-2X^{4}+X^{3}-2X^{2}-2$ in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$

Published on 06 Nov 2013 - 16:50

289

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Minimal Polynomial of $\alpha^2$

Published on 07 Nov 2013 - 18:41

2.6k

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How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?

Published on 07 Nov 2013 - 22:30

List Question

Show that $9+9x+3x^3+6x^4+3x^5+x^6$ is irreducible given one of its roots

Finding a polynomial with given Galois group

Irreducibility of Polynomial in $\mathbb{Q}$

Is $x^4 +15x +25$ irreducible in $\mathbb{Q}[x]$?

Is $x^{20} +x^{15}+ x^{10}+x^5+1$ irreducible in $\mathbb{Q}[x]$?

Why $x^{p-1}+x^{p-2}+\cdots+1$ is irreducible over $\mathbb{Q}$?

Primitive polynomial

$x^6+x^3+1$ is irreducible over $\mathbb{Q}$

Proof for minimal polynomial $\mathbb{F}_q$

Factorization of a polynomial into irreducible factors

Reducibility of $x^6+x^3+1$ over various fields

Necessary and sufficient conditions for a polynomial $f(x) \in \mathbb{Z}[x]$ to be irreducible.

Decompose $X^{5}-2X^{4}+X^{3}-2X^{2}-2$ in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$

Minimal Polynomial of $\alpha^2$

How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?

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