List questions from irreducible-polynomials

Published on 27 Mar 2021 - 12:01

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Classification of odd primes

Published on 12 Apr 2026 - 13:40

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Techniques of proving a polynomial is irreducible in rational numbers

Published on 10 Apr 2026 - 17:12

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Prove $X^4-2X^2+4$ is irreducible in $\mathbb{Q}[X]$

Published on 27 Mar 2026 - 15:36

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Proof verification - Polynomials irreducibility criterions

Published on 10 Apr 2026 - 21:25

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How to find Galois group modulo prime

Published on 11 Apr 2026 - 17:21

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Is $x^8+6x^7-15x^4-9x+12$ irreducible over $\mathbb{Q}$?

Published on 29 Mar 2021 - 12:08

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Prove that $x^3+12x^2+18x+6$ is irreducible over $\mathbb{Z}[i]$.

Published on 12 Apr 2026 - 12:32

131

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Prove $\frac{X^p-1}{X-1}$ for $p$ prime is irreducible in $\mathbb{Q}[X]$

Published on 09 Apr 2026 - 8:01

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Irreducible polynomials over GF(4)

Published on 01 Apr 2021 - 19:16

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how to prove that two representations are irreducible

Published on 09 Apr 2026 - 20:15

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Ist $3x^3 + 3x$ irreduzibel in $Z[x]$? In $Q[x]$?

Published on 03 Apr 2021 - 8:35

296

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Most even-degree polynomials in $\mathbb{R}[x]$ are reducible

Published on 04 Apr 2021 - 2:36

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Prove that for fixed $c$ there exits $d$ such that polynomials $p_ 1(x,y)-cq_1(x,y) $and $p_2(x,y)-dq_2(x,y)$ are coprime

Published on 11 Apr 2026 - 18:11

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Using Reduction Modulo $p$ to Prove Irreducibility of Polynomial

Published on 04 Apr 2021 - 13:53

List Question

Eisenstein's criterion of irreducibility simple proof

Classification of odd primes

Techniques of proving a polynomial is irreducible in rational numbers

Prove $X^4-2X^2+4$ is irreducible in $\mathbb{Q}[X]$

Proof verification - Polynomials irreducibility criterions

How to find Galois group modulo prime

Is $x^8+6x^7-15x^4-9x+12$ irreducible over $\mathbb{Q}$?

Prove that $x^3+12x^2+18x+6$ is irreducible over $\mathbb{Z}[i]$.

Prove $\frac{X^p-1}{X-1}$ for $p$ prime is irreducible in $\mathbb{Q}[X]$

Irreducible polynomials over GF(4)

how to prove that two representations are irreducible

Ist $3x^3 + 3x$ irreduzibel in $Z[x]$? In $Q[x]$?

Most even-degree polynomials in $\mathbb{R}[x]$ are reducible

Prove that for fixed $c$ there exits $d$ such that polynomials $p_ 1(x,y)-cq_1(x,y) $and $p_2(x,y)-dq_2(x,y)$ are coprime

Using Reduction Modulo $p$ to Prove Irreducibility of Polynomial

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