Question

How to factor $x^6-4x^4+2x^3+1$ by hand?

score 277 · Answer 1 · 2020-03-01 05:29:39

277

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How to factor $x^6-4x^4+2x^3+1$ by hand?

Published on 01 Mar 2020 - 5:29

score 141 · Answer 2 · 2020-03-17 10:30:11

141

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Special case quintic equation analytic solution

Published on 17 Mar 2020 - 10:30

score 1.2k · Answer 3 · 2020-03-20 12:58:20

1.2k

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There is no solution in radicals to general polynomial equations of degree five.

Published on 20 Mar 2020 - 12:58

score 100 · Answer 4 · 2020-04-04 02:32:06

100

Views

Are there any examples of using Bring radicals to solve a quintic equation?

Published on 04 Apr 2020 - 2:32

score 419 · Answer 5 · 2020-04-06 10:51:13

419

Views

Given a polynomial with roots $a, b, c, d, e$, find the polynomial whose roots are $abc, abd, abe, ...$

Published on 06 Apr 2020 - 10:51

score 253 · Answer 6 · 2020-04-09 14:50:49

253

Views

Series representation of polynomial root

Published on 09 Apr 2020 - 14:50

score 59 · Answer 7 · 2020-04-21 17:57:07

59

Views

The roots of quintic polynomial

Published on 21 Apr 2020 - 17:57

score 266 · Answer 8 · 2020-05-04 15:02:06

266

Views

Find a closed form to the solution of $\sqrt{2-\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{2-x}}}}}=x$

Published on 04 May 2020 - 15:02

score 217 · Answer 9 · 2020-05-31 07:14:14

217

Views

Why couldn't Euler extend his method of solving a quartic to solve a quintic polynomial?

Published on 31 May 2020 - 7:14

score 27 · Answer 10 · 2020-06-18 20:17:53

27

Views

Proving equation has solution for every $c ≥ 0$

Published on 18 Jun 2020 - 20:17

score 159 · Answer 11 · 2020-06-22 17:12:50

159

Views

Find quintic roots of $x^ 5 = 1$

Published on 22 Jun 2020 - 17:12

score 197 · Answer 12 · 2020-07-20 16:28:03

197

Views

Loops through zero in Arnold's proof of the insolvability of the quintic

Published on 20 Jul 2020 - 16:28

score 568 · Answer 13 · 2020-07-22 16:01:15

568

Views

Topological proof for the unsolvability of the quintic

Published on 22 Jul 2020 - 16:01

score 96 · Answer 14 · 2023-02-27 15:41:29

96

Views

5th degree equation roots relation

Published on 27 Feb 2023 - 15:41

score 208 · Answer 15 · 2023-04-06 09:24:00

208

Views

Solvability of quintics with complex coefficients?

Published on 06 Apr 2023 - 9:24

List Question

How to factor $x^6-4x^4+2x^3+1$ by hand?

Special case quintic equation analytic solution

There is no solution in radicals to general polynomial equations of degree five.

Are there any examples of using Bring radicals to solve a quintic equation?

Given a polynomial with roots $a, b, c, d, e$, find the polynomial whose roots are $abc, abd, abe, ...$

Series representation of polynomial root

The roots of quintic polynomial

Find a closed form to the solution of $\sqrt{2-\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{2-x}}}}}=x$

Why couldn't Euler extend his method of solving a quartic to solve a quintic polynomial?

Proving equation has solution for every $c ≥ 0$

Find quintic roots of $x^ 5 = 1$

Loops through zero in Arnold's proof of the insolvability of the quintic

Topological proof for the unsolvability of the quintic

5th degree equation roots relation

Solvability of quintics with complex coefficients?

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