List questions from irreducible-polynomials

Published on 20 Feb 2018 - 18:01

152

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A rational function with hidden symmetry and alternating poles and zeros.

Published on 17 Mar 2026 - 21:46

23

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Existence of Irreductible polynomial

Published on 22 Mar 2026 - 14:09

99

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For what irreducible $f\in\mathbb{Q}[X]$ is this sequence periodic modulo $f$?

Published on 22 Feb 2018 - 18:06

249

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Show the polynomial $p(x,y) =y^3+xy^2+(x^2+x)y+(4x^3+2x)$ is irreducible in $\mathbb{Z}[x, y]$

Published on 24 Feb 2018 - 18:41

50

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Computation of $\frac{1+t}{1+t+t^2}$ for $x^3-2x-2$ in $\mathbb{Q}(t)$.

Published on 26 Feb 2018 - 16:20

81

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Study the Irreducibility of polynomial

Published on 27 Feb 2018 - 18:57

1.1k

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Proving that $x^3-9$ is irreducible in $\mathbb{F}_{31}[x]$

Published on 28 Feb 2018 - 4:29

588

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How to show that $4x^9 -9x^3 + 24x + 13 $ is irreducible over $\mathbb{Q}$

Published on 24 Mar 2026 - 23:48

2.5k

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There are no integral roots of $x^4-ax^3-bx^2-cx-d=0,$ given $a>b>c>d; \;\;a,b,c,d \in \mathbb N$

Published on 01 Mar 2018 - 18:14

1.6k

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Determine whether a polynomial is reducible over a finite field

Published on 11 Mar 2018 - 11:54

131

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Is there an easy way to calculate irreducible polynomials in GF(2^n)?

Published on 11 Mar 2018 - 19:38

53

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Binary code over $F_8$

Published on 21 Mar 2026 - 22:09

113

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Are there purely imaginary roots of an irreducible whose exponents are mixed parity and gcd of 1?

Published on 12 Mar 2018 - 15:30

856

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Show that the following polynomial is irreducible over $GF(2^2)$

Published on 13 Mar 2018 - 3:01

List Question

How to go from $u^{2/3}-5u^{1/3}+7=0$ to $u^2-20u+343=0$

A rational function with hidden symmetry and alternating poles and zeros.

Existence of Irreductible polynomial

For what irreducible $f\in\mathbb{Q}[X]$ is this sequence periodic modulo $f$?

Show the polynomial $p(x,y) =y^3+xy^2+(x^2+x)y+(4x^3+2x)$ is irreducible in $\mathbb{Z}[x, y]$

Computation of $\frac{1+t}{1+t+t^2}$ for $x^3-2x-2$ in $\mathbb{Q}(t)$.

Study the Irreducibility of polynomial

Proving that $x^3-9$ is irreducible in $\mathbb{F}_{31}[x]$

How to show that $4x^9 -9x^3 + 24x + 13 $ is irreducible over $\mathbb{Q}$

There are no integral roots of $x^4-ax^3-bx^2-cx-d=0,$ given $a>b>c>d; \;\;a,b,c,d \in \mathbb N$

Determine whether a polynomial is reducible over a finite field

Is there an easy way to calculate irreducible polynomials in GF(2^n)?

Binary code over $F_8$

Are there purely imaginary roots of an irreducible whose exponents are mixed parity and gcd of 1?

Show that the following polynomial is irreducible over $GF(2^2)$

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