List questions from irreducible-polynomials

Published on 10 Jul 2015 - 17:18

577

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All primes $p$ for which $x^{2} +1$ irreducible over $\mathbb{F}_{p}$

Published on 11 Jul 2015 - 18:32

35

Views

Why is there a $q_i$ such that $q_j|q_i$?

Published on 12 Jul 2015 - 7:39

47

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Why doesn't $f_1, f_2$ have an inverse polynomial?

Published on 12 Jul 2015 - 8:05

253

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Let $K=GF(2)$ and $p(x)= x^3 + x+1.$ Show that $p$ is irreducible in $K[x]$

Published on 12 Jul 2015 - 13:24

25

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$a$ and $b$ irreducible polynomials such that $\forall u \in \mathbb{Q}[t], a|u(t^n)\iff b|u(t^n)$

Published on 13 Jul 2015 - 18:09

36

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If $f,g$ in $Z[x]$, $h$ in $R[x]$ with $f=gh$, is $h$ nessecarily in $Z[x]$?

Published on 13 Jul 2015 - 23:35

2.5k

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Show that $x^3-3$ is irreducible in $\Bbb Z_7[x]$.

Published on 14 Jul 2015 - 14:30

291

Views

Separable polynomials on field with char 2

Published on 15 Jul 2015 - 7:28

101

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Irreducible polynomials with one large coefficient

Published on 20 Jul 2015 - 14:02

148

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Problem on Galois theory and irreducible polynomial

Published on 21 Jul 2015 - 20:34

377

Views

$x^p -x-1$ irreducible over $\mathbb{F}_{p}$

Published on 26 Jul 2015 - 17:09

1.4k

Views

Proof of Cohn's Irreducibility Criterion

Published on 27 Jul 2015 - 14:58

3.2k

Views

How to factor intricate polynomial $ ab^3 - a^3b + a^3c -ac^3 +bc^3 - b^3c $

Published on 30 Jul 2015 - 11:19

132

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Gauss' Lemma and repeated factors

Published on 06 Aug 2015 - 20:21

List Question

Easy difference of exponents ($a^b$ - $c^d$) for arbitrarily large numbers

All primes $p$ for which $x^{2} +1$ irreducible over $\mathbb{F}_{p}$

Why is there a $q_i$ such that $q_j|q_i$?

Why doesn't $f_1, f_2$ have an inverse polynomial?

Let $K=GF(2)$ and $p(x)= x^3 + x+1.$ Show that $p$ is irreducible in $K[x]$

$a$ and $b$ irreducible polynomials such that $\forall u \in \mathbb{Q}[t], a|u(t^n)\iff b|u(t^n)$

If $f,g$ in $Z[x]$, $h$ in $R[x]$ with $f=gh$, is $h$ nessecarily in $Z[x]$?

Show that $x^3-3$ is irreducible in $\Bbb Z_7[x]$.

Separable polynomials on field with char 2

Irreducible polynomials with one large coefficient

Problem on Galois theory and irreducible polynomial

$x^p -x-1$ irreducible over $\mathbb{F}_{p}$

Proof of Cohn's Irreducibility Criterion

How to factor intricate polynomial $ ab^3 - a^3b + a^3c -ac^3 +bc^3 - b^3c $

Gauss' Lemma and repeated factors

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