Question

What is the difference between $K[X_1, \ldots, X_{m - 1}]\color{blue}{[X]}$ and $K[X_1, \ldots, X_{m - 1}]\color{blue}{[X_{m}]}$?

score 115 · Answer 1 · 2026-04-16 18:17:25

115

Views

What is the difference between $K[X_1, \ldots, X_{m - 1}]\color{blue}{[X]}$ and $K[X_1, \ldots, X_{m - 1}]\color{blue}{[X_{m}]}$?

Published on 16 Apr 2026 - 18:17

score 34 · Answer 2 · 2026-04-11 18:45:11

34

Views

Understanding a specific quotient ring

Published on 11 Apr 2026 - 18:45

score 159 · Answer 3 · 2026-04-14 02:28:17

159

Views

Irreducible polynomial with root implies least degree

Published on 14 Apr 2026 - 2:28

score 782 · Answer 4 · 2026-04-12 13:43:48

782

Views

Solve the equations set in complex numbers.

Published on 12 Apr 2026 - 13:43

score 211 · Answer 5 · 2026-04-16 20:16:57

211

Views

What's the remainder when $x^{7} + x^{27} + x^{47} +x^{67} + x^{87}$ is divided by $x ^ 3 - x$

Published on 16 Apr 2026 - 20:16

score 755 · Answer 6 · 2026-04-08 18:25:18

755

Views

How to approach this divisibility problem on polynomial

Published on 08 Apr 2026 - 18:25

score 261 · Answer 7 · 2026-04-11 08:33:27

261

Views

Existence of solution of nonlinear system

Published on 11 Apr 2026 - 8:33

score 255 · Answer 8 · 2026-04-11 00:58:01

255

Views

Definition of principal term of polynomials

Published on 11 Apr 2026 - 0:58

score 5.1k · Answer 9 · 2026-04-13 21:55:35

5.1k

Views

Counting the Number of Real Roots of A Polynomial

Published on 13 Apr 2026 - 21:55

score 125 · Answer 10 · 2026-04-16 13:58:51

125

Views

Polynomials: $f_n \to p$ and $p$ has distinct real roots implies $f_n$ eventually has real roots.

Published on 16 Apr 2026 - 13:58

score 208 · Answer 11 · 2026-04-14 00:10:55

208

Views

A family of polynomials for the Taylor expansion of the Lambert-w function

Published on 14 Apr 2026 - 0:10

score 231 · Answer 12 · 2026-04-13 19:05:44

231

Views

The real positive root of $9x^5+7x^2-9=0$

Published on 13 Apr 2026 - 19:05

score 107 · Answer 13 · 2026-04-15 02:29:39

107

Views

Solving a set of multivariate polynomials; four equations, four unknowns, maximum degree 2

Published on 15 Apr 2026 - 2:29

score 144 · Answer 14 · 2026-04-16 08:01:52

144

Views

$x^3-8x^2+30x-20=0$ has roots $a$, $b$, $c$. Find the equation with roots $a+2$, $b+2$, $c+2$

Published on 16 Apr 2026 - 8:01

score 68 · Answer 15 · 2026-04-13 13:25:03

68

Views

Proving a property of a linear operator and its adjoint if they commute

Published on 13 Apr 2026 - 13:25

List Question

What is the difference between $K[X_1, \ldots, X_{m - 1}]\color{blue}{[X]}$ and $K[X_1, \ldots, X_{m - 1}]\color{blue}{[X_{m}]}$?

Understanding a specific quotient ring

Irreducible polynomial with root implies least degree

Solve the equations set in complex numbers.

What's the remainder when $x^{7} + x^{27} + x^{47} +x^{67} + x^{87}$ is divided by $x ^ 3 - x$

How to approach this divisibility problem on polynomial

Existence of solution of nonlinear system

Definition of principal term of polynomials

Counting the Number of Real Roots of A Polynomial

Polynomials: $f_n \to p$ and $p$ has distinct real roots implies $f_n$ eventually has real roots.

A family of polynomials for the Taylor expansion of the Lambert-w function

The real positive root of $9x^5+7x^2-9=0$

Solving a set of multivariate polynomials; four equations, four unknowns, maximum degree 2

$x^3-8x^2+30x-20=0$ has roots $a$, $b$, $c$. Find the equation with roots $a+2$, $b+2$, $c+2$

Proving a property of a linear operator and its adjoint if they commute

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