List questions from irreducible-polynomials

Published on 09 Apr 2026 - 14:41

369

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Minimal polynomial over the field $\Bbb Q$

Published on 27 Jan 2013 - 14:18

52

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Maximal Distinct Roots in $F_q$

Published on 11 Apr 2026 - 1:40

72

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Counting primes of the form $S_1(a_n)$ vs primes of the form $S_2(b_n)$

Published on 31 Mar 2026 - 14:30

529

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Irreducible homogeneous polynomial over $\mathbb{Z}$ staying irreducible modulo large primes

Published on 11 Apr 2026 - 4:00

1.3k

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Why this polynomial is irreducible?

Published on 05 Feb 2013 - 17:56

1.1k

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Splitting of polynomial into linear factors

Published on 07 Apr 2026 - 22:49

1.7k

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Question about Irreducible Polynomials Being Relatively Prime.

Published on 10 Feb 2013 - 13:40

5.4k

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Irreducibility of Polynomials in $k[x,y]$

Published on 14 Feb 2013 - 3:16

1.4k

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Show $x^6 + 1.5x^5 + 3x - 4.5$ is irreducible in $\mathbb Q[x]$.

Published on 20 Feb 2013 - 10:30

107

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$\phi$ in $O_K$ but not in $\mathbb{Z}[t]$

Published on 26 Feb 2013 - 15:44

4.5k

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Does the Rational Root Theorem ever guarantee that a polynomial is irreducible?

Published on 26 Feb 2013 - 22:43

55

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Elements in extension field

Published on 27 Feb 2013 - 2:46

3.9k

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Irreducible $f(x) \in F[x]$ of prime degree, $E/F$ finite extension, $p \mid [E:F]$.

Published on 28 Feb 2013 - 8:21

3k

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$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$

Published on 01 Mar 2013 - 6:43

List Question

Irreducible polynomials in $\mathbb{Z}[x]$

Minimal polynomial over the field $\Bbb Q$

Maximal Distinct Roots in $F_q$

Counting primes of the form $S_1(a_n)$ vs primes of the form $S_2(b_n)$

Irreducible homogeneous polynomial over $\mathbb{Z}$ staying irreducible modulo large primes

Why this polynomial is irreducible?

Splitting of polynomial into linear factors

Question about Irreducible Polynomials Being Relatively Prime.

Irreducibility of Polynomials in $k[x,y]$

Show $x^6 + 1.5x^5 + 3x - 4.5$ is irreducible in $\mathbb Q[x]$.

$\phi$ in $O_K$ but not in $\mathbb{Z}[t]$

Does the Rational Root Theorem ever guarantee that a polynomial is irreducible?

Elements in extension field

Irreducible $f(x) \in F[x]$ of prime degree, $E/F$ finite extension, $p \mid [E:F]$.

$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$

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