List questions from irreducible-polynomials

Published on 12 Sep 2013 - 12:29

339

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Counterexample to Eisenstein criterion

Published on 13 Sep 2013 - 16:30

1k

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Analytical solution of a polynomial with non integer order

Published on 17 Sep 2013 - 17:00

2k

Views

How do i show that $x^2+8x-2$ is irreducible over $\mathbb{Q}$

Published on 20 Sep 2013 - 15:08

67

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About the irreducibility of $p(x)=x^5+12ax^3+34bx+43c$ where $a,b,c$ are integers.

Published on 23 Sep 2013 - 10:05

5.8k

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Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$

Published on 24 Sep 2013 - 17:17

520

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Dimensions of $K(\alpha,\beta)$ and $K(\alpha)(\beta)$: why are they equal?

Published on 26 Sep 2013 - 11:52

873

Views

Irreducible polynomials as formal power series

Published on 26 Sep 2013 - 18:00

39

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Polynomial factors over a field with 0 characteritics

Published on 27 Sep 2013 - 14:58

4.1k

Views

Why $y^2-x^3-x^2$ is irreducible?

Published on 28 Sep 2013 - 22:55

486

Views

About the irreducibility in $k[X,Y]$ and in $k(Y)[X]$

Published on 29 Sep 2013 - 7:59

1.1k

Views

When does an irreducible polynomial stay irreducible as a power series?

Published on 29 Sep 2013 - 19:12

1.6k

Views

Homogenization of an irreducible polynomial is irreducible

Published on 02 Oct 2013 - 17:22

834

Views

Finding irreducible polynomials and factorization

Published on 01 Apr 2026 - 8:00

3.6k

Views

Prove : If $I = (p(x))$ is a prime ideal in $F[x]$ then $p(x)$ is irreducible.

Published on 05 Oct 2013 - 20:10

List Question

how to find generator in $ F_2[x]/(f(x))$?

Counterexample to Eisenstein criterion

Analytical solution of a polynomial with non integer order

How do i show that $x^2+8x-2$ is irreducible over $\mathbb{Q}$

About the irreducibility of $p(x)=x^5+12ax^3+34bx+43c$ where $a,b,c$ are integers.

Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$

Dimensions of $K(\alpha,\beta)$ and $K(\alpha)(\beta)$: why are they equal?

Irreducible polynomials as formal power series

Polynomial factors over a field with 0 characteritics

Why $y^2-x^3-x^2$ is irreducible?

About the irreducibility in $k[X,Y]$ and in $k(Y)[X]$

When does an irreducible polynomial stay irreducible as a power series?

Homogenization of an irreducible polynomial is irreducible

Finding irreducible polynomials and factorization

Prove : If $I = (p(x))$ is a prime ideal in $F[x]$ then $p(x)$ is irreducible.

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