Question

Is there an irreducible, degree 7 polynomial in $\mathbb{Q}[x]$ which has exactly two of its roots in $\mathbb{C-R}$?

score 198 · Answer 1 · 2026-03-25 11:21:24

198

Views

Is there an irreducible, degree 7 polynomial in $\mathbb{Q}[x]$ which has exactly two of its roots in $\mathbb{C-R}$?

Published on 25 Mar 2026 - 11:21

score 174 · Answer 2 · 2026-03-25 11:23:35

174

Views

Proving that $x^7-120x^5+1875x^3+12500x+5$ has exactly 5 real roots

Published on 25 Mar 2026 - 11:23

score 102 · Answer 3 · 2026-02-23 01:21:42

102

Views

Is it possible to find irreducible polynomial of this form..

Published on 23 Feb 2026 - 1:21

score 70 · Answer 4 · 2026-03-25 10:03:21

70

Views

Generalized polynomial chaos with periodic basis function?

Published on 25 Mar 2026 - 10:03

score 52 · Answer 5 · 2026-03-25 22:26:49

52

Views

Is it possible to reduce the equation of an tilted ellipse to the form $f(a,b)=A(x,y)g(a,b)+B(x,y)$?

Published on 25 Mar 2026 - 22:26

score 46 · Answer 6 · 2026-03-29 17:50:05

46

Views

Proof Verification: Rational root of a Polynomial in $\mathbb{Z} [x]$

Published on 29 Mar 2026 - 17:50

score 158 · Answer 7 · 2018-05-31 08:38:33

158

Views

Remainder Theorem / Factor Theorem

Published on 31 May 2018 - 8:38

score 133 · Answer 8 · 2026-03-25 21:49:30

133

Views

Complex integral of the modulus of a polynomial

Published on 25 Mar 2026 - 21:49

score 334 · Answer 9 · 2026-03-30 15:36:16

334

Views

What are the zeros of $z^6-5z^4+z^3-2z \in \mathbb{C}$ within the unit circle?

Published on 30 Mar 2026 - 15:36

score 43 · Answer 10 · 2026-03-27 13:30:01

43

Views

representing multi variable monomials using powers of linear functions

Published on 27 Mar 2026 - 13:30

score 315 · Answer 11 · 2026-03-23 08:36:48

315

Views

A sufficient and necessary condition for $\mathbb{C}(f(x),g(x))=\mathbb{C}(x)$?

Published on 23 Mar 2026 - 8:36

score 332 · Answer 12 · 2026-03-30 15:29:29

332

Views

Finding the real roots and complex roots to a polynomial

Published on 30 Mar 2026 - 15:29

score 664 · Answer 13 · 2018-06-01 08:29:50

664

Views

Reciprocal roots

Published on 01 Jun 2018 - 8:29

score 60 · Answer 14 · 2026-03-27 08:41:15

60

Views

Relation between polynomial coefficients/roots and areas between the roots

Published on 27 Mar 2026 - 8:41

score 94 · Answer 15 · 2026-03-25 15:37:52

94

Views

Factoring a given quartic form

Published on 25 Mar 2026 - 15:37

List Question

Is there an irreducible, degree 7 polynomial in $\mathbb{Q}[x]$ which has exactly two of its roots in $\mathbb{C-R}$?

Proving that $x^7-120x^5+1875x^3+12500x+5$ has exactly 5 real roots

Is it possible to find irreducible polynomial of this form..

Generalized polynomial chaos with periodic basis function?

Is it possible to reduce the equation of an tilted ellipse to the form $f(a,b)=A(x,y)g(a,b)+B(x,y)$?

Proof Verification: Rational root of a Polynomial in $\mathbb{Z} [x]$

Remainder Theorem / Factor Theorem

Complex integral of the modulus of a polynomial

What are the zeros of $z^6-5z^4+z^3-2z \in \mathbb{C}$ within the unit circle?

representing multi variable monomials using powers of linear functions

A sufficient and necessary condition for $\mathbb{C}(f(x),g(x))=\mathbb{C}(x)$?

Finding the real roots and complex roots to a polynomial

Reciprocal roots

Relation between polynomial coefficients/roots and areas between the roots

Factoring a given quartic form

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