Question

Common factor $x^4+6x^2+25$ & $3x^4+4x^2+28x+5$

score 76 · Answer 1 · 2026-04-09 13:35:53

76

Views

Common factor $x^4+6x^2+25$ & $3x^4+4x^2+28x+5$

Published on 09 Apr 2026 - 13:35

score 183 · Answer 2 · 2026-04-17 10:32:35

183

Views

Solve $3x(2+\sqrt{9x^2 + 3}) + (4x-2)(\sqrt{x^2 - x +1}+1) = 0$ for $x\in \mathbb{R}$

Published on 17 Apr 2026 - 10:32

score 160 · Answer 3 · 2026-04-17 09:50:04

160

Views

Prove that $\sum_{X=0}^N u(X) {N \choose X} p^X (1-p)^{N-X}=0 \iff u(X)=0, \space \forall X\in\{ 0,1,...,N \}$

Published on 17 Apr 2026 - 9:50

score 200 · Answer 4 · 2026-04-15 20:21:22

Find the least positive integral value of z for which there exists different positive integers $x$,$y$ and $z$ that satisfy $x^2 +y^2=z^3$.

score 116 · Answer 5 · 2026-04-16 20:43:35

116

Views

Computing $[\mathbb{F}_p(x):\mathbb{F}_p(x)^p]$

Published on 16 Apr 2026 - 20:43

score 295 · Answer 6 · 2026-04-16 16:22:48

295

Views

Roots of $z^4 + 2z^3 + 20z + 12 = 0$

Published on 16 Apr 2026 - 16:22

score 41 · Answer 7 · 2026-04-15 07:01:58

41

Views

How to proof the following identity: $ \sum_{k=0}^{n} \prod_{j=0\\j\neq k}^{n} \frac{t_k}{t_k-t_j} =1$

Published on 15 Apr 2026 - 7:01

score 170 · Answer 8 · 2026-04-14 14:52:27

170

Views

Rational polynomial of degree n with n-2 real roots, 2 complex roots and Galois group not being $S_n$

Published on 14 Apr 2026 - 14:52

score 155 · Answer 9 · 2026-04-17 09:04:10

155

Views

Prove that $a_1A^1 + a_2A^2 + ... + a_5A^5 = 0$

Published on 17 Apr 2026 - 9:04

score 50 · Answer 10 · 2026-04-11 14:31:54

50

Views

Does every polynomial divide its (Galois-theoretic) norm?

Published on 11 Apr 2026 - 14:31

score 133 · Answer 11 · 2026-04-14 11:32:35

133

Views

With linear algebra, prove that all polynomial parametric curves can fulfill a polynomial Cartesian equation

Published on 14 Apr 2026 - 11:32

score 630 · Answer 12 · 2026-04-15 20:02:48

630

Views

Inverting a monotone polynomial

Published on 15 Apr 2026 - 20:02

score 188 · Answer 13 · 2026-04-14 11:46:53

188

Views

Polynomial size Boolean circuit for counting number of bits

Published on 14 Apr 2026 - 11:46

score 801 · Answer 14 · 2026-04-11 13:08:27

801

Views

Where is my error in trying to find Pythagorean triples with matching areas?

Published on 11 Apr 2026 - 13:08

score 55 · Answer 15 · 2026-04-13 21:28:41

55

Views

There exist a name for multi-variable polynomials such that all of there exponents are equal to 1?

Published on 13 Apr 2026 - 21:28

List Question

Common factor $x^4+6x^2+25$ & $3x^4+4x^2+28x+5$

Solve $3x(2+\sqrt{9x^2 + 3}) + (4x-2)(\sqrt{x^2 - x +1}+1) = 0$ for $x\in \mathbb{R}$

Prove that $\sum_{X=0}^N u(X) {N \choose X} p^X (1-p)^{N-X}=0 \iff u(X)=0, \space \forall X\in\{ 0,1,...,N \}$

Find the least positive integral value of z for which there exists different positive integers $x$,$y$ and $z$ that satisfy $x^2 +y^2=z^3$.

Computing $[\mathbb{F}_p(x):\mathbb{F}_p(x)^p]$

Roots of $z^4 + 2z^3 + 20z + 12 = 0$

How to proof the following identity: $ \sum_{k=0}^{n} \prod_{j=0\\j\neq k}^{n} \frac{t_k}{t_k-t_j} =1$

Rational polynomial of degree n with n-2 real roots, 2 complex roots and Galois group not being $S_n$

Prove that $a_1A^1 + a_2A^2 + ... + a_5A^5 = 0$

Does every polynomial divide its (Galois-theoretic) norm?

With linear algebra, prove that all polynomial parametric curves can fulfill a polynomial Cartesian equation

Inverting a monotone polynomial

Polynomial size Boolean circuit for counting number of bits

Where is my error in trying to find Pythagorean triples with matching areas?

There exist a name for multi-variable polynomials such that all of there exponents are equal to 1?

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