List questions from irreducible-polynomials

Published on 08 May 2015 - 10:05

454

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Reducible polynomials in $\mathbb{Z}[X]$

Published on 09 May 2015 - 15:03

439

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Minimal polynomials

Published on 30 Mar 2026 - 5:30

1.3k

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proof that $\frac{x^p - 1}{x-1} = 1 + x + \dots + x^{p-1}$ is irreducible

Published on 26 Mar 2026 - 21:10

1k

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Example of a non-primitive but irreducible polynomial

Published on 12 May 2015 - 6:45

132

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Irreducible quadratic "within" reducible quadratic

Published on 12 May 2015 - 8:04

344

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Why Fibonacci LFSR random number generation works?

Published on 13 May 2015 - 6:31

1.2k

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Why generator polynomial of $GF(2^m)$ are irreducible?

Published on 13 May 2015 - 17:26

1.1k

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Why can't Eisenstein Criterion be used for certain polynomials (to show that it's irreducible over $\mathbb{Q}$)?

Published on 13 May 2015 - 21:07

72

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Finding the conjugates, why can they argue this way?(exercise)

Published on 14 May 2015 - 15:14

173

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Showing irreducibility of polynomials of degree 3 over the rationals

Published on 14 May 2015 - 17:43

32

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Question about irreducible polynomials?

Published on 14 May 2015 - 18:10

75

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a question about field theory and polynomials

Published on 15 May 2015 - 15:45

166

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Exercise: splitting field, showing that it splits

Published on 27 Mar 2026 - 22:11

280

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Show a polynomial is irreducible mod 29

Published on 16 May 2015 - 20:53

List Question

Is $x^4+nx+1$ irreducible?

Reducible polynomials in $\mathbb{Z}[X]$

Minimal polynomials

proof that $\frac{x^p - 1}{x-1} = 1 + x + \dots + x^{p-1}$ is irreducible

Example of a non-primitive but irreducible polynomial

Irreducible quadratic "within" reducible quadratic

Why Fibonacci LFSR random number generation works?

Why generator polynomial of $GF(2^m)$ are irreducible?

Why can't Eisenstein Criterion be used for certain polynomials (to show that it's irreducible over $\mathbb{Q}$)?

Finding the conjugates, why can they argue this way?(exercise)

Showing irreducibility of polynomials of degree 3 over the rationals

Question about irreducible polynomials?

a question about field theory and polynomials

Exercise: splitting field, showing that it splits

Show a polynomial is irreducible mod 29

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