Question

When factoring polynomials over the {reals,rationals,integers}, can one get stuck with an incorrect partial factorization?

score 1k · Answer 1 · 2015-02-04 20:52:28

1k

Views

When factoring polynomials over the {reals,rationals,integers}, can one get stuck with an incorrect partial factorization?

Published on 04 Feb 2015 - 20:52

score 420 · Answer 2 · 2015-02-05 01:40:13

420

Views

Degree of Splitting Field to Prove Irreducibility

Published on 05 Feb 2015 - 1:40

score 1.9k · Answer 3 · 2015-02-07 13:15:42

1.9k

Views

If a and b are odd integers then find the number of integral roots of $(x^{10} +ax^9 +b=0)$

Published on 07 Feb 2015 - 13:15

score 158 · Answer 4 · 2015-02-07 17:55:52

158

Views

Show that $\sqrt{7}\notin\mathbb{Q}(\alpha)$, with $\alpha$ a root of $X^7+6X^3+3X+15$

Published on 07 Feb 2015 - 17:55

score 368 · Answer 5 · 2015-02-08 17:24:52

368

Views

Proving the irreducibility of a specific family of polynomials

Published on 08 Feb 2015 - 17:24

score 163 · Answer 6 · 2015-02-09 02:19:28

163

Views

How to show $x^3 - x^2 -11x-12$ is irreducible in $\mathbb{Q}[x]$

Published on 09 Feb 2015 - 2:19

score 131 · Answer 7 · 2015-02-11 19:20:17

131

Views

Formula or pattern to find irreducible polynomials over $GF(2)$ and $GF(3)$

Published on 11 Feb 2015 - 19:20

score 166 · Answer 8 · 2015-02-12 02:36:49

166

Views

For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?

Published on 12 Feb 2015 - 2:36

score 2.3k · Answer 9 · 2015-02-14 13:07:25

2.3k

Views

Show that $x^4-2x^2+9$ is irreducible over $\mathbb Q$

Published on 14 Feb 2015 - 13:07

score 480 · Answer 10 · 2015-02-14 13:28:21

480

Views

Irreducibility of polynomials over finite field

Published on 14 Feb 2015 - 13:28

score 194 · Answer 11 · 2015-02-15 05:44:44

194

Views

Dividing a polynomial in a field $F_5$

Published on 15 Feb 2015 - 5:44

score 206 · Answer 12 · 2015-02-16 11:45:23

206

Views

Boolean Polynomial Mutliplication modulo an irreducible polynomial

Published on 16 Feb 2015 - 11:45

score 2.8k · Answer 13 · 2015-02-16 11:54:57

2.8k

Views

Irreducible Polynomials $GF(2^4)$: Why is $x^4 + x^2 + 1$ reducible?

Published on 16 Feb 2015 - 11:54

score 110 · Answer 14 · 2015-02-19 13:08:58

110

Views

Quintic polynomial problem without analysis

Published on 19 Feb 2015 - 13:08

score 526 · Answer 15 · 2015-02-19 15:25:28

526

Views

Galois group of a polynomial over $\mathbb C(t)$

Published on 19 Feb 2015 - 15:25

List Question

When factoring polynomials over the {reals,rationals,integers}, can one get stuck with an incorrect partial factorization?

Degree of Splitting Field to Prove Irreducibility

If a and b are odd integers then find the number of integral roots of $(x^{10} +ax^9 +b=0)$

Show that $\sqrt{7}\notin\mathbb{Q}(\alpha)$, with $\alpha$ a root of $X^7+6X^3+3X+15$

Proving the irreducibility of a specific family of polynomials

How to show $x^3 - x^2 -11x-12$ is irreducible in $\mathbb{Q}[x]$

Formula or pattern to find irreducible polynomials over $GF(2)$ and $GF(3)$

For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?

Show that $x^4-2x^2+9$ is irreducible over $\mathbb Q$

Irreducibility of polynomials over finite field

Dividing a polynomial in a field $F_5$

Boolean Polynomial Mutliplication modulo an irreducible polynomial

Irreducible Polynomials $GF(2^4)$: Why is $x^4 + x^2 + 1$ reducible?

Quintic polynomial problem without analysis

Galois group of a polynomial over $\mathbb C(t)$

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