List questions from irreducible-polynomials

Published on 07 Aug 2015 - 17:26

420

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Find out whether a polynomial is irreducible or not

Published on 09 Aug 2015 - 17:51

240

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Determining the minimal polynomial over $\Bbb{Q}$

Published on 10 Aug 2015 - 3:37

925

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Show that $1-i$ is irreducible in $\mathbb{Z}[i]$?

Published on 11 Aug 2015 - 6:21

12k

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Number of irreducible quadratic polynomials over a finite field

Published on 11 Aug 2015 - 16:05

3k

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Irreducibility criteria for polynomials with several variables.

Published on 28 Mar 2026 - 10:16

1.5k

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Finding the Irreducible polynomials which are primitive as part of Coding theory course

Published on 30 Mar 2026 - 12:02

894

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Prove that if $f$ is separable and irreducible polynomial then the Galois group of $f$ is transitive

Published on 14 Aug 2015 - 15:43

72

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Irreducibility Implication between $\mathbb{Q}[x]$, $\mathbb{Z}[x]$, and $\mathbb{Z_p}[x]$

Published on 20 Aug 2015 - 2:40

1k

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Irreducible inseparable polynomial of prime degree has derivative zero

Published on 21 Aug 2015 - 3:11

234

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How can $f(x,y)= x^4+x^3y+x^2y^2+xy^3+y^4$ be factorized into a product of two polynomials?

Published on 26 Aug 2015 - 3:07

70

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minimal polynamial of $i\sqrt{5}+\sqrt{2} \in C$

Published on 27 Aug 2015 - 15:19

146

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Irreducibility of the polynomial $a_{n}+a_{n-1}x+\cdots+a_{0}x^{n}$ when irreducibility of $a_{0}+a_{1}x+\cdots+a_{n}x^{n}$ is given

Published on 28 Aug 2015 - 9:51

63

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Irreducibility of $p(x)$ implies that of $p(x+c)$ only when taken over a field?

Published on 28 Aug 2015 - 11:19

569

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Overlapping Polynomials

Published on 30 Mar 2026 - 14:01

List Question

Showing irreducibility of a polynomial.

Find out whether a polynomial is irreducible or not

Determining the minimal polynomial over $\Bbb{Q}$

Show that $1-i$ is irreducible in $\mathbb{Z}[i]$?

Number of irreducible quadratic polynomials over a finite field

Irreducibility criteria for polynomials with several variables.

Finding the Irreducible polynomials which are primitive as part of Coding theory course

Prove that if $f$ is separable and irreducible polynomial then the Galois group of $f$ is transitive

Irreducibility Implication between $\mathbb{Q}[x]$, $\mathbb{Z}[x]$, and $\mathbb{Z_p}[x]$

Irreducible inseparable polynomial of prime degree has derivative zero

How can $f(x,y)= x^4+x^3y+x^2y^2+xy^3+y^4$ be factorized into a product of two polynomials?

minimal polynamial of $i\sqrt{5}+\sqrt{2} \in C$

Irreducibility of the polynomial $a_{n}+a_{n-1}x+\cdots+a_{0}x^{n}$ when irreducibility of $a_{0}+a_{1}x+\cdots+a_{n}x^{n}$ is given

Irreducibility of $p(x)$ implies that of $p(x+c)$ only when taken over a field?

Overlapping Polynomials

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