List questions from irreducible-polynomials

Published on 13 Dec 2013 - 20:43

491

Views

Checking irreducibility of polynomials over number fields

Published on 15 Dec 2013 - 14:28

103

Views

Prove that $x^p-x^{p-1}+1$ is irreducible over $\mathbb{F}_p$

Published on 16 Dec 2013 - 5:35

2.1k

Views

Is it true that if $f(x)$ has a linear factor over $\mathbb{F}_p$ for every prime $p$, then $f(x)$ is reducible over $\mathbb{Q}$?

Published on 16 Dec 2013 - 10:39

523

Views

$f(X^p)$ irreducible or $p$th power if $f$ irreducible

Published on 19 Dec 2013 - 5:46

2.8k

Views

Transcendental extension, rational functions and field tower

Published on 20 Dec 2013 - 12:13

568

Views

irreducibility of $x^{5}-2$ over $\mathbb{F}_{11}$.

Published on 24 Dec 2013 - 23:00

291

Views

What power can have irreducible polynomials over a subfield of an algebraically closed field?

Published on 26 Dec 2013 - 1:50

1.8k

Views

Number of distinct roots of an irreducible polynomial divides the degree of the polynomial

Published on 26 Dec 2013 - 7:34

128

Views

On the roots of a polynomial

Published on 27 Dec 2013 - 11:39

1.3k

Views

Prime elements and irreducible elements of quotient rings of polynomial ring

Published on 31 Dec 2013 - 11:19

1.8k

Views

Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree

Published on 02 Jan 2014 - 12:50

107

Views

Nondiagonalizable Matrix and Polynomials

Published on 02 Jan 2014 - 15:20

397

Views

Elementary proof of irreducibility criterion

Published on 03 Jan 2014 - 16:29

868

Views

Proving that $X^6-15X^4-6X^3+75X^2-90X-116$ is irreducible over $\mathbb Q$

Published on 04 Jan 2014 - 12:03

List Question

Show a polynomial is irreducible

Checking irreducibility of polynomials over number fields

Prove that $x^p-x^{p-1}+1$ is irreducible over $\mathbb{F}_p$

Is it true that if $f(x)$ has a linear factor over $\mathbb{F}_p$ for every prime $p$, then $f(x)$ is reducible over $\mathbb{Q}$?

$f(X^p)$ irreducible or $p$th power if $f$ irreducible

Transcendental extension, rational functions and field tower

irreducibility of $x^{5}-2$ over $\mathbb{F}_{11}$.

What power can have irreducible polynomials over a subfield of an algebraically closed field?

Number of distinct roots of an irreducible polynomial divides the degree of the polynomial

On the roots of a polynomial

Prime elements and irreducible elements of quotient rings of polynomial ring

Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree

Nondiagonalizable Matrix and Polynomials

Elementary proof of irreducibility criterion

Proving that $X^6-15X^4-6X^3+75X^2-90X-116$ is irreducible over $\mathbb Q$

Trending Questions

Popular # Hahtags

Popular Questions