Question

Let $L$ be the splitting field of $f(x) = x^3 + 10x + 15$ over $\mathbb{Q}$, and $a_1$ (real), $a_2, a_3$ (complex conjugates) the roots of $f$

score 27 · Answer 1 · 2016-07-31 16:57:12

27

Views

Let $L$ be the splitting field of $f(x) = x^3 + 10x + 15$ over $\mathbb{Q}$, and $a_1$ (real), $a_2, a_3$ (complex conjugates) the roots of $f$

Published on 31 Jul 2016 - 16:57

score 230 · Answer 2 · 2016-08-04 04:40:20

230

Views

How to prove a ring isomorphism

Published on 04 Aug 2016 - 4:40

score 2.9k · Answer 3 · 2016-08-07 14:08:01

2.9k

Views

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Published on 07 Aug 2016 - 14:08

score 349 · Answer 4 · 2016-08-15 13:18:18

349

Views

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Published on 15 Aug 2016 - 13:18

score 1k · Answer 5 · 2016-08-15 19:47:00

1k

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score 221 · Answer 6 · 2016-08-15 22:38:25

221

Views

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score 111 · Answer 7 · 2026-03-29 07:39:29

111

Views

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score 294 · Answer 8 · 2016-08-17 03:51:57

294

Views

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Published on 17 Aug 2016 - 3:51

score 448 · Answer 9 · 2016-08-17 16:49:12

448

Views

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score 139 · Answer 10 · 2016-08-18 11:00:06

139

Views

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Published on 18 Aug 2016 - 11:00

score 687 · Answer 11 · 2016-08-19 16:27:05

687

Views

How to prove $x^{2k}+1$ is irreducible over the rational numbers

Published on 19 Aug 2016 - 16:27

score 436 · Answer 12 · 2016-08-21 17:40:10

436

Views

Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$

Published on 21 Aug 2016 - 17:40

score 2.9k · Answer 13 · 2016-08-21 20:39:47

2.9k

Views

How can one find the factorization $a^4 + 2a^3 + 3a^2 + 2a + 1 = (a^2 + a + 1)^2$ from scratch?

Published on 21 Aug 2016 - 20:39

score 48 · Answer 14 · 2016-08-22 13:57:14

48

Views

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Published on 22 Aug 2016 - 13:57

score 164 · Answer 15 · 2016-08-26 16:42:34

164

Views

When $ax+b$ is irreducible in an Integral Domain

Published on 26 Aug 2016 - 16:42

List Question

Let $L$ be the splitting field of $f(x) = x^3 + 10x + 15$ over $\mathbb{Q}$, and $a_1$ (real), $a_2, a_3$ (complex conjugates) the roots of $f$

How to prove a ring isomorphism

$f(x)=x^2+y^2+1$ is irreducible in $\mathbb{C}[x,y]$

Irreducible hyperbolic polynomials of any degree over the reals

Determinant of symmetric matrix is an irreducible polynomial

Irreducibility of a family of polynomials coming from Fibonacci polynomials

Are all prime-order Fibonacci polynomials irreducible over $\Bbb{Z}$?

Polynomial irreducible in $F[x]$ implies irreducible in $F[x,y]$?

Irreducible polynomial which is/isn't multiple of another irreducible polynomial, up to a change of variable

Reduction modulo two prime numbers

How to prove $x^{2k}+1$ is irreducible over the rational numbers

Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$

How can one find the factorization $a^4 + 2a^3 + 3a^2 + 2a + 1 = (a^2 + a + 1)^2$ from scratch?

Factoring a polynomial expression

When $ax+b$ is irreducible in an Integral Domain

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