Question

Does there exist a degree-$4$ polynomial such that $f(1)=0$, $f(0)=1$, $f '(1)=0$ and $f'(0)=1$?

score 469 · Answer 1 · 2026-03-26 04:35:07

469

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Does there exist a degree-$4$ polynomial such that $f(1)=0$, $f(0)=1$, $f '(1)=0$ and $f'(0)=1$?

Published on 26 Mar 2026 - 4:35

score 127 · Answer 2 · 2026-03-26 06:09:19

127

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$1 + \alpha+ \alpha^2+\alpha^3+ \dots + \alpha^{q-2}=$

Published on 26 Mar 2026 - 6:09

score 28 · Answer 3 · 2026-04-12 04:26:47

28

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Powers in a ring

Published on 12 Apr 2026 - 4:26

score 76 · Answer 4 · 2026-04-09 16:47:56

76

Views

Stuck on showing a property of $H$ as a representation of $\mathfrak{sl}(2, \mathbb{C})$

Published on 09 Apr 2026 - 16:47

score 49 · Answer 5 · 2026-04-12 08:58:41

49

Views

$\langle 2,X\rangle$ in the polynomial ring $\mathbb{Z}[X]$

Published on 12 Apr 2026 - 8:58

score 49 · Answer 6 · 2018-01-26 22:14:59

49

Views

Find prime number so that two rings are isomorphic

Published on 26 Jan 2018 - 22:14

score 368 · Answer 7 · 2026-04-03 11:46:13

368

Views

Rank Nullity Theorem and a Complex of Vector Spaces

Published on 03 Apr 2026 - 11:46

score 111 · Answer 8 · 2026-04-09 23:06:45

111

Views

Is this proof right for The Fundamental Theorem of Algebra with matrix theory?

Published on 09 Apr 2026 - 23:06

score 202 · Answer 9 · 2026-04-12 09:11:58

202

Views

Relatively prime integer

Published on 12 Apr 2026 - 9:11

score 645 · Answer 10 · 2026-04-09 00:56:03

645

Views

Irreducibility of $x^3-6x-2$ in $Q[x]$

Published on 09 Apr 2026 - 0:56

score 94 · Answer 11 · 2026-04-08 22:32:55

94

Views

How to find $\operatorname{Gal}(S/\mathbb{Q})$

Published on 08 Apr 2026 - 22:32

score 155 · Answer 12 · 2026-04-09 03:42:06

155

Views

Property of Splitting Fields and K-homomorphisms

Published on 09 Apr 2026 - 3:42

score 236 · Answer 13 · 2026-04-11 20:31:44

236

Views

factor $3+\sqrt{3}$ into irreducibles in $\mathbb{Z}[\sqrt{3}]$

Published on 11 Apr 2026 - 20:31

score 88 · Answer 14 · 2026-04-11 19:53:36

Decide if $\mathbb Z[i]/\langle i\rangle$ and $\mathbb Z$ are isomorphic, if $\mathbb Z[i]/\langle i+1\rangle$ and $\mathbb Z_2$ are isomorphic

score 180 · Answer 15 · 2026-03-25 11:15:05

180

Views

is there away to give $= \sqrt[3]{5 + 10i } + \sqrt[3]{5- 10i}$

Published on 25 Mar 2026 - 11:15

List Question

Does there exist a degree-$4$ polynomial such that $f(1)=0$, $f(0)=1$, $f '(1)=0$ and $f'(0)=1$?

$1 + \alpha+ \alpha^2+\alpha^3+ \dots + \alpha^{q-2}=$

Powers in a ring

Stuck on showing a property of $H$ as a representation of $\mathfrak{sl}(2, \mathbb{C})$

$\langle 2,X\rangle$ in the polynomial ring $\mathbb{Z}[X]$

Find prime number so that two rings are isomorphic

Rank Nullity Theorem and a Complex of Vector Spaces

Is this proof right for The Fundamental Theorem of Algebra with matrix theory?

Relatively prime integer

Irreducibility of $x^3-6x-2$ in $Q[x]$

How to find $\operatorname{Gal}(S/\mathbb{Q})$

Property of Splitting Fields and K-homomorphisms

factor $3+\sqrt{3}$ into irreducibles in $\mathbb{Z}[\sqrt{3}]$

Decide if $\mathbb Z[i]/\langle i\rangle$ and $\mathbb Z$ are isomorphic, if $\mathbb Z[i]/\langle i+1\rangle$ and $\mathbb Z_2$ are isomorphic

is there away to give $= \sqrt[3]{5 + 10i } + \sqrt[3]{5- 10i}$

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