Question

Polynomial Function given roots and a point

score 2.6k · Answer 1 · 2018-12-14 02:02:23

2.6k

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Polynomial Function given roots and a point

Published on 14 Dec 2018 - 2:02

score 345 · Answer 2 · 2026-03-26 07:35:40

345

Views

Can we find all the irreducible polynomials of $F_2[x]$?

Published on 26 Mar 2026 - 7:35

score 163 · Answer 3 · 2026-03-25 11:10:17

163

Views

Polynomial approximation of a function in a chosen interval

Published on 25 Mar 2026 - 11:10

score 102 · Answer 4 · 2018-12-14 09:00:51

102

Views

Sum & Product of Two Algebraic Numbers

Published on 14 Dec 2018 - 9:00

score 121 · Answer 5 · 2026-03-26 07:35:31

121

Views

$x^{2n} + x^{2n-1} + x^ {2n-2} +\ldots+ x + 1$ is irreducible for any $n\in \mathbb N$ in $F_2[x]$. True or false?

Published on 26 Mar 2026 - 7:35

score 60 · Answer 6 · 2026-03-26 07:35:30

60

Views

Is it true that he polynomial $\frac{x^p- 1}{x-1}$ ($p$ is prime) is irreducible in $\mathbb{F}_2[x]$ iff $p$ is prime?

Published on 26 Mar 2026 - 7:35

score 220 · Answer 7 · 2026-03-25 07:47:55

220

Views

Can I solve a system of high-degree polynomial equations with the Gröbner basis method?

Published on 25 Mar 2026 - 7:47

score 80 · Answer 8 · 2026-03-26 07:33:34

80

Views

Quotient $\mathbf{F}_3[X]/(X^5+1)$

Published on 26 Mar 2026 - 7:33

score 63 · Answer 9 · 2026-03-25 12:12:50

63

Views

Solve cubic polynomial

Published on 25 Mar 2026 - 12:12

score 171 · Answer 10 · 2026-03-26 07:35:21

171

Views

If $f(x)$ is irreducible in $ \mathbb z [ x]$ , then for all primes $p$ the reduction $f'(x)$ of $f(x)$ modulo $p$ is irreducible in $F_p[x]$.

Published on 26 Mar 2026 - 7:35

score 54 · Answer 11 · 2018-12-15 21:46:29

54

Views

Wanted to check if this proof is correct [Polynomials, 1st year university]

Published on 15 Dec 2018 - 21:46

score 121 · Answer 12 · 2026-03-27 02:39:15

121

Views

$f^n+g^n=h^2\implies f,g,h$ all constant

Published on 27 Mar 2026 - 2:39

score 228 · Answer 13 · 2026-03-26 12:53:46

228

Views

Why $\mathbb{C}(f(t),g(t))=\mathbb{C}(t)$ implies that $\gcd(f(t)-a,g(t)-b)=t-c$, for some $a,b,c \in \mathbb{C}$?

Published on 26 Mar 2026 - 12:53

score 729 · Answer 14 · 2018-12-16 05:46:05

729

Views

k non-attacking rooks on a chessboard with forbidden positions

Published on 16 Dec 2018 - 5:46

score 90 · Answer 15 · 2018-12-16 06:11:33

90

Views

Show that $f(x)-P(x)=\frac{x^4-1}{4!}f^{4}(c) $

Published on 16 Dec 2018 - 6:11

List Question

Polynomial Function given roots and a point

Can we find all the irreducible polynomials of $F_2[x]$?

Polynomial approximation of a function in a chosen interval

Sum & Product of Two Algebraic Numbers

$x^{2n} + x^{2n-1} + x^ {2n-2} +\ldots+ x + 1$ is irreducible for any $n\in \mathbb N$ in $F_2[x]$. True or false?

Is it true that he polynomial $\frac{x^p- 1}{x-1}$ ($p$ is prime) is irreducible in $\mathbb{F}_2[x]$ iff $p$ is prime?

Can I solve a system of high-degree polynomial equations with the Gröbner basis method?

Quotient $\mathbf{F}_3[X]/(X^5+1)$

Solve cubic polynomial

If $f(x)$ is irreducible in $ \mathbb z [ x]$ , then for all primes $p$ the reduction $f'(x)$ of $f(x)$ modulo $p$ is irreducible in $F_p[x]$.

Wanted to check if this proof is correct [Polynomials, 1st year university]

$f^n+g^n=h^2\implies f,g,h$ all constant

Why $\mathbb{C}(f(t),g(t))=\mathbb{C}(t)$ implies that $\gcd(f(t)-a,g(t)-b)=t-c$, for some $a,b,c \in \mathbb{C}$?

k non-attacking rooks on a chessboard with forbidden positions

Show that $f(x)-P(x)=\frac{x^4-1}{4!}f^{4}(c) $

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