Question

Let $f \in F[x]$, then discriminant of $f$ lies in $F$.

score 266 · Answer 1 · 2026-03-24 17:31:19

266

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Let $f \in F[x]$, then discriminant of $f$ lies in $F$.

Published on 24 Mar 2026 - 17:31

score 204 · Answer 2 · 2026-03-25 08:58:25

204

Views

Polynomial regression for the function of two independent variables

Published on 25 Mar 2026 - 8:58

score 69 · Answer 3 · 2018-04-02 20:41:25

69

Views

There is a given polynomial: $p(x)=(x^n-x+1)^{2018}(3x^{n+3}+2x-4)^{11}$

Published on 02 Apr 2018 - 20:41

score 59 · Answer 4 · 2026-03-30 00:22:47

59

Views

suppose $a(x)$ and $b(x)$ have degree smaller than $n$. If $a(c)=b(c)$ for $n$ values of $c$, prove $a(x)=b(x)$

Published on 30 Mar 2026 - 0:22

score 43 · Answer 5 · 2026-03-29 18:31:16

43

Views

Uniqueness in the weak Nullstellensatz

Published on 29 Mar 2026 - 18:31

score 149 · Answer 6 · 2018-04-03 08:03:18

149

Views

p(y)=x^3-5 intersecting x axis

Published on 03 Apr 2018 - 8:03

score 127 · Answer 7 · 2018-04-03 08:55:06

127

Views

$\frac{(x - 2)^2}{2}-\frac{(x + 1)}{3} = (x - 3)^3$

Published on 03 Apr 2018 - 8:55

score 257 · Answer 8 · 2026-03-30 00:21:28

257

Views

Find Maximum number of distinct real roots $f(x)$ can have

Published on 30 Mar 2026 - 0:21

score 43 · Answer 9 · 2018-04-03 11:42:47

43

Views

Values for coefficients of even power $P(x)$ s.t. $P(x)$ has no solution in $\mathbb{R}$

Published on 03 Apr 2018 - 11:42

score 499 · Answer 10 · 2018-04-03 11:47:59

499

Views

why is the solution to $x^2 = 3$ the same as $x = \pm \sqrt 3$

Published on 03 Apr 2018 - 11:47

score 366 · Answer 11 · 2026-03-20 01:51:33

366

Views

Inequality involving cyclic sums (Muirhead? Schur? Something else?)

Published on 20 Mar 2026 - 1:51

score 1.3k · Answer 12 · 2018-04-03 14:55:39

1.3k

Views

Finding iteratively approximation of cube root with square root operation

Published on 03 Apr 2018 - 14:55

score 42 · Answer 13 · 2026-03-29 08:13:45

42

Views

Polynomial with non-negative "small" coefficients producing a prime "late"

Published on 29 Mar 2026 - 8:13

score 42 · Answer 14 · 2018-04-03 17:41:31

$P(x)$ with arbitrary degree and coefficients divided $(x-r_1)$ by synthetic division, should the remainder be equal to $0$?

score 32 · Answer 15 · 2018-04-03 18:19:34

32

Views

Relationship between roots of $P(x)$ and $P(x+q)$

Published on 03 Apr 2018 - 18:19

List Question

Let $f \in F[x]$, then discriminant of $f$ lies in $F$.

Polynomial regression for the function of two independent variables

There is a given polynomial: $p(x)=(x^n-x+1)^{2018}(3x^{n+3}+2x-4)^{11}$

suppose $a(x)$ and $b(x)$ have degree smaller than $n$. If $a(c)=b(c)$ for $n$ values of $c$, prove $a(x)=b(x)$

Uniqueness in the weak Nullstellensatz

p(y)=x^3-5 intersecting x axis

$\frac{(x - 2)^2}{2}-\frac{(x + 1)}{3} = (x - 3)^3$

Find Maximum number of distinct real roots $f(x)$ can have

Values for coefficients of even power $P(x)$ s.t. $P(x)$ has no solution in $\mathbb{R}$

why is the solution to $x^2 = 3$ the same as $x = \pm \sqrt 3$

Inequality involving cyclic sums (Muirhead? Schur? Something else?)

Finding iteratively approximation of cube root with square root operation

Polynomial with non-negative "small" coefficients producing a prime "late"

$P(x)$ with arbitrary degree and coefficients divided $(x-r_1)$ by synthetic division, should the remainder be equal to $0$?

Relationship between roots of $P(x)$ and $P(x+q)$

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