Question

If $p(a,b)=0$ where $a,b \in \mathbb R$ then $p(x,y)=(x-a)s(x,y) + (y-b)t(x,y)$ for polynomials $s$ and $t$.

score 41 · Answer 1 · 2018-05-03 23:53:34

41

Views

If $p(a,b)=0$ where $a,b \in \mathbb R$ then $p(x,y)=(x-a)s(x,y) + (y-b)t(x,y)$ for polynomials $s$ and $t$.

Published on 03 May 2018 - 23:53

score 120 · Answer 2 · 2026-03-27 15:14:09

120

Views

Existence of Polynomial with whom product contains only prime powers

Published on 27 Mar 2026 - 15:14

score 33 · Answer 3 · 2026-03-25 13:54:40

33

Views

Naming of growth models?

Published on 25 Mar 2026 - 13:54

score 44 · Answer 4 · 2018-05-04 14:06:19

44

Views

How come $a^{x^3}>(1/a)^{x^2-1}$ has the same solutions as $x^3+x^2-1>0$ if $a > 1$?

Published on 04 May 2018 - 14:06

score 230 · Answer 5 · 2026-03-25 05:06:59

230

Views

Is there a relationship between rotations in $\mathbb{R}^2$ and polynomial roots?

Published on 25 Mar 2026 - 5:06

score 811 · Answer 6 · 2026-03-27 15:46:45

811

Views

AP + BQ = 1 (Euclidean algorithm)

Published on 27 Mar 2026 - 15:46

score 58 · Answer 7 · 2026-03-25 06:10:45

58

Views

Polynomial of linear transformation

Published on 25 Mar 2026 - 6:10

score 53 · Answer 8 · 2018-05-04 20:31:32

53

Views

Exercise around $\Delta(P)(X)=P(X+1)-P(X)$

Published on 04 May 2018 - 20:31

score 274 · Answer 9 · 2026-03-25 07:45:38

274

Views

Prove the coefficients of $\prod_{k=2}^{n+1}(1-x^{a_k})$ are $0$, $1$, or $-1$ where $(a_k)$ are Fibonacci numbers.

Published on 25 Mar 2026 - 7:45

score 69 · Answer 10 · 2018-05-05 05:24:12

69

Views

Several questions about working with Vieta's formulae on polynomials

Published on 05 May 2018 - 5:24

score 278 · Answer 11 · 2026-03-25 04:41:00

278

Views

Find $a,b$ such that the equation $x^4+3x^3+6x^2+ax+b=0$ has at most 2 real roots. Solution using algebra

Published on 25 Mar 2026 - 4:41

score 65 · Answer 12 · 2026-03-25 04:40:49

65

Views

Find all $m\in\mathbb{R}$ such that $x^4+x^3-2x^2+3mx-m^2=0$ has only real roots.

Published on 25 Mar 2026 - 4:40

score 160 · Answer 13 · 2026-03-27 20:12:02

160

Views

Sturm's Theorem

Published on 27 Mar 2026 - 20:12

score 26 · Answer 14 · 2026-03-28 08:38:09

26

Views

Intersection of an ideal with a subset

Published on 28 Mar 2026 - 8:38

score 136 · Answer 15 · 2026-03-22 13:30:21

136

Views

Discrete logarithm problem - Pohlig Hellman $GF(2^{60})$

Published on 22 Mar 2026 - 13:30

List Question

If $p(a,b)=0$ where $a,b \in \mathbb R$ then $p(x,y)=(x-a)s(x,y) + (y-b)t(x,y)$ for polynomials $s$ and $t$.

Existence of Polynomial with whom product contains only prime powers

Naming of growth models?

How come $a^{x^3}>(1/a)^{x^2-1}$ has the same solutions as $x^3+x^2-1>0$ if $a > 1$?

Is there a relationship between rotations in $\mathbb{R}^2$ and polynomial roots?

AP + BQ = 1 (Euclidean algorithm)

Polynomial of linear transformation

Exercise around $\Delta(P)(X)=P(X+1)-P(X)$

Prove the coefficients of $\prod_{k=2}^{n+1}(1-x^{a_k})$ are $0$, $1$, or $-1$ where $(a_k)$ are Fibonacci numbers.

Several questions about working with Vieta's formulae on polynomials

Find $a,b$ such that the equation $x^4+3x^3+6x^2+ax+b=0$ has at most 2 real roots. Solution using algebra

Find all $m\in\mathbb{R}$ such that $x^4+x^3-2x^2+3mx-m^2=0$ has only real roots.

Sturm's Theorem

Intersection of an ideal with a subset

Discrete logarithm problem - Pohlig Hellman $GF(2^{60})$

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