List questions from irreducible-polynomials

Published on 11 Dec 2017 - 6:13

299

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Decomposition of a biquadratic polynomial

Published on 27 Mar 2026 - 14:10

269

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Proving that an ideal generated by a polynomial in two variables is prime

Published on 12 Dec 2017 - 15:50

99

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$x^2-a$, $x^2-b$ and $x^2-ab$ can't all be irreducible in $F[x]$ where $F$ is a finite field

Published on 14 Dec 2017 - 0:55

29

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Irreducibility of f following from (other) irreducible polynomial

Published on 14 Dec 2017 - 23:27

917

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How do I factor for irreducible in F2[x]?

Published on 09 Apr 2026 - 9:37

32

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Claim in polynomial division in $R[x,y]$

Published on 16 Dec 2017 - 19:41

1.4k

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Irreducible factors of polynomial $X^{p^n}-X$ over $\mathbb{F}_{p^i}[X]$

Published on 16 Dec 2017 - 21:13

283

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Eisenstein's criteria irreducible polynomial - issue in proof of Gareth Jones's book.

Published on 18 Dec 2017 - 4:22

525

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Proving irreducible polynomial using Eisenstein's criteria.

Published on 18 Dec 2017 - 11:48

22

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polynomial in 2 variable representing irreducible polynomial over one variable

Published on 19 Dec 2017 - 6:31

400

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Roots of polynomial with imaginary coefficients

Published on 19 Dec 2017 - 14:48

895

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Prove or disprove that $X^4+1$ is irreducible in $\frac{\mathbb{Z}}{p\mathbb{Z}}[X]$

Published on 22 Dec 2017 - 14:25

53

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irreducible polynomials over GF(q)

Published on 29 Mar 2026 - 17:31

620

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How to construct $F_2[x]/(x^3+x^2+1)$ quotient ring and check whether it is a field?

Published on 24 Dec 2017 - 15:16

List Question

How to prove that there are infinitely many irreducibles in $F_q[T]$

Decomposition of a biquadratic polynomial

Proving that an ideal generated by a polynomial in two variables is prime

$x^2-a$, $x^2-b$ and $x^2-ab$ can't all be irreducible in $F[x]$ where $F$ is a finite field

Irreducibility of f following from (other) irreducible polynomial

How do I factor for irreducible in F2[x]?

Claim in polynomial division in $R[x,y]$

Irreducible factors of polynomial $X^{p^n}-X$ over $\mathbb{F}_{p^i}[X]$

Eisenstein's criteria irreducible polynomial - issue in proof of Gareth Jones's book.

Proving irreducible polynomial using Eisenstein's criteria.

polynomial in 2 variable representing irreducible polynomial over one variable

Roots of polynomial with imaginary coefficients

Prove or disprove that $X^4+1$ is irreducible in $\frac{\mathbb{Z}}{p\mathbb{Z}}[X]$

irreducible polynomials over GF(q)

How to construct $F_2[x]/(x^3+x^2+1)$ quotient ring and check whether it is a field?

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