Question

Prove the following inequality for any positive real number $x,y$

score 324 · Answer 1 · 2026-03-27 09:48:10

324

Views

Prove the following inequality for any positive real number $x,y$

Published on 27 Mar 2026 - 9:48

score 105 · Answer 2 · 2026-03-27 13:25:35

105

Views

Find all irreducible monic polynomials of degrees $2$ in $\Bbb{Z}_{4}[x]$.

Published on 27 Mar 2026 - 13:25

score 79 · Answer 3 · 2019-08-07 19:05:55

79

Views

Indices - factorising

Published on 07 Aug 2019 - 19:05

score 1.4k · Answer 4 · 2026-03-29 18:50:32

1.4k

Views

$\mathbb{C}[x,y,z]/(xy-z^2)$ is not a field

Published on 29 Mar 2026 - 18:50

score 6.8k · Answer 5 · 2019-08-12 19:09:04

6.8k

Views

Proof: (a + b)(c + d) = ac + ad + bc + bd

Published on 12 Aug 2019 - 19:09

score 155 · Answer 6 · 2026-03-25 09:25:16

155

Views

Factoring $x^4 + 5x^3 + 4x^2 + 2x - 3$

Published on 25 Mar 2026 - 9:25

score 74 · Answer 7 · 2026-03-25 11:06:38

74

Views

Is there any systematic way to factorise expressions of the form $ n^4+pn^2 +q$

Published on 25 Mar 2026 - 11:06

score 263 · Answer 8 · 2026-03-25 01:16:17

263

Views

Non-unique factorization of ideals in $\mathbb{Z}[t,t^{-1}]$

Published on 25 Mar 2026 - 1:16

score 128 · Answer 9 · 2019-08-14 21:57:15

128

Views

Intuition on why does $P(-1) = 0$ leads to identify one factor of a 3rd Degree Polynomial?

Published on 14 Aug 2019 - 21:57

score 489 · Answer 10 · 2026-03-25 21:49:45

489

Views

What values of x would give rise to possible factors?

Published on 25 Mar 2026 - 21:49

score 2.3k · Answer 11 · 2019-08-16 14:35:45

The coefficients of a product of monic polynomials are $0$ and $1$; if the polynomials' coefficients are non-negative, must they also be $0$ and $1$?

score 68 · Answer 12 · 2019-08-16 17:52:31

68

Views

Make x the subject of this formula:

Published on 16 Aug 2019 - 17:52

score 62 · Answer 13 · 2019-08-18 03:04:02

62

Views

Splitting $~x~$ and $~y~$ and solving for $~y~$

Published on 18 Aug 2019 - 3:04

score 54 · Answer 14 · 2026-03-27 10:15:54

54

Views

Questions about $E = \frac{\mathbb{Q}[x]}{(x^2+x+1)}$ and factorization in $E[t]$

Published on 27 Mar 2026 - 10:15

score 717 · Answer 15 · 2026-03-28 01:35:22

717

Views

Can you factor a difference of squares even when the constant isn't a perfect square?

Published on 28 Mar 2026 - 1:35

List Question

Prove the following inequality for any positive real number $x,y$

Find all irreducible monic polynomials of degrees $2$ in $\Bbb{Z}_{4}[x]$.

Indices - factorising

$\mathbb{C}[x,y,z]/(xy-z^2)$ is not a field

Proof: (a + b)(c + d) = ac + ad + bc + bd

Factoring $x^4 + 5x^3 + 4x^2 + 2x - 3$

Is there any systematic way to factorise expressions of the form $ n^4+pn^2 +q$

Non-unique factorization of ideals in $\mathbb{Z}[t,t^{-1}]$

Intuition on why does $P(-1) = 0$ leads to identify one factor of a 3rd Degree Polynomial?

What values of x would give rise to possible factors?

The coefficients of a product of monic polynomials are $0$ and $1$; if the polynomials' coefficients are non-negative, must they also be $0$ and $1$?

Make x the subject of this formula:

Splitting $~x~$ and $~y~$ and solving for $~y~$

Questions about $E = \frac{\mathbb{Q}[x]}{(x^2+x+1)}$ and factorization in $E[t]$

Can you factor a difference of squares even when the constant isn't a perfect square?

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