Question

Find the smallest natural number $n$ such that there exists a polynomial $P(x)$ satisfying : $P(x)$ has a real root and $2014 \le a_i \le 2015 $

score 86 · Answer 1 · 2021-10-08 14:54:18

86

Views

Find the smallest natural number $n$ such that there exists a polynomial $P(x)$ satisfying : $P(x)$ has a real root and $2014 \le a_i \le 2015 $

Published on 08 Oct 2021 - 14:54

score 42 · Answer 2 · 2021-10-08 16:46:30

42

Views

Find the smallest natural number $n$ such that there exists a polynomial $P(x)$ : $P(x)$ has a real root and $2014 \le a_i \le 2015 $

Published on 08 Oct 2021 - 16:46

score 59 · Answer 3 · 2026-04-12 22:55:26

59

Views

Cyclotomic polynomial with nonnegative coefficients

Published on 12 Apr 2026 - 22:55

score 36 · Answer 4 · 2021-10-10 15:01:18

36

Views

Constructing an algebraically closed extension-field of an already algebraically closed field

Published on 10 Oct 2021 - 15:01

score 76 · Answer 5 · 2026-03-28 08:09:53

76

Views

Is $g(x,y)= \frac{f(x^{2y+1},y)}{f(x,y)}$ always an integer?

Published on 28 Mar 2026 - 8:09

score 332 · Answer 6 · 2026-04-11 01:21:24

332

Views

An irreducible polynomial in Z[x]

Published on 11 Apr 2026 - 1:21

score 592 · Answer 7 · 2021-10-12 09:03:10

592

Views

If $f$ is irreducible and $g \neq 0$, then either $\gcd(f, g) = 1$ or $f \mid g$

Published on 12 Oct 2021 - 9:03

score 69 · Answer 8 · 2021-10-17 18:02:52

69

Views

The only $T$-cyclic subspaces of $Z(v, T)$ are $Z(p^k(T)(v), T)$

Published on 17 Oct 2021 - 18:02

score 123 · Answer 9 · 2021-10-18 09:25:44

123

Views

Prove that the equation $p(p(x)) = q(q(x))$ has no real solutions.

Published on 18 Oct 2021 - 9:25

score 192 · Answer 10 · 2026-04-13 13:22:12

192

Views

Irreducibility over finite fields and the integers

Published on 13 Apr 2026 - 13:22

score 58 · Answer 11 · 2026-04-11 12:18:25

58

Views

Constructing an algebraic extension of degree n of $\mathbb{Z}_p$

Published on 11 Apr 2026 - 12:18

score 85 · Answer 12 · 2026-04-12 10:05:58

85

Views

Conjecture about the irreducibility of special polynomials

Published on 12 Apr 2026 - 10:05

score 306 · Answer 13 · 2026-04-12 20:08:29

306

Views

Is $f(x)=x^4+x+2$ irreducible over $\mathbb{Z}_3$?

Published on 12 Apr 2026 - 20:08

score 52 · Answer 14 · 2026-04-11 11:17:03

52

Views

Can we classify the numbers giving an irreducible polynomial?

Published on 11 Apr 2026 - 11:17

score 40 · Answer 15 · 2026-04-13 10:18:19

40

Views

Does this iteration ever give a reducible polynomial?

Published on 13 Apr 2026 - 10:18

List Question

Find the smallest natural number $n$ such that there exists a polynomial $P(x)$ satisfying : $P(x)$ has a real root and $2014 \le a_i \le 2015 $

Find the smallest natural number $n$ such that there exists a polynomial $P(x)$ : $P(x)$ has a real root and $2014 \le a_i \le 2015 $

Cyclotomic polynomial with nonnegative coefficients

Constructing an algebraically closed extension-field of an already algebraically closed field

Is $g(x,y)= \frac{f(x^{2y+1},y)}{f(x,y)}$ always an integer?

An irreducible polynomial in Z[x]

If $f$ is irreducible and $g \neq 0$, then either $\gcd(f, g) = 1$ or $f \mid g$

The only $T$-cyclic subspaces of $Z(v, T)$ are $Z(p^k(T)(v), T)$

Prove that the equation $p(p(x)) = q(q(x))$ has no real solutions.

Irreducibility over finite fields and the integers

Constructing an algebraic extension of degree n of $\mathbb{Z}_p$

Conjecture about the irreducibility of special polynomials

Is $f(x)=x^4+x+2$ irreducible over $\mathbb{Z}_3$?

Can we classify the numbers giving an irreducible polynomial?

Does this iteration ever give a reducible polynomial?

Trending Questions

Popular # Hahtags

Popular Questions