Question

Prove that there exists a function $g$ such that $f(x)=(x-a)g(x) + b$ for all $x$.

score 763 · Answer 1 · 2026-04-17 05:27:18

763

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Prove that there exists a function $g$ such that $f(x)=(x-a)g(x) + b$ for all $x$.

Published on 17 Apr 2026 - 5:27

score 68 · Answer 2 · 2026-04-16 20:17:01

68

Views

What theorem is being invoked in this solution to deciding if this polynomial is solvable by radicals?

Published on 16 Apr 2026 - 20:17

score 107 · Answer 3 · 2026-04-12 17:32:35

107

Views

Elementary set theory proof by contradiction

Published on 12 Apr 2026 - 17:32

score 1.9k · Answer 4 · 2026-04-16 20:37:01

1.9k

Views

Linear Algebra: Show Polynomial Is A Subspace

Published on 16 Apr 2026 - 20:37

score 341 · Answer 5 · 2026-04-14 14:25:10

341

Views

Algebraic subset of $\mathbb C^n$ is finite if it is countable

Published on 14 Apr 2026 - 14:25

score 32 · Answer 6 · 2026-04-13 14:45:29

32

Views

Calculate coefficients of polynomial

Published on 13 Apr 2026 - 14:45

score 150 · Answer 7 · 2026-04-12 11:40:07

150

Views

proof about irreducible polynomials with complex roots in Q

Published on 12 Apr 2026 - 11:40

score 2.2k · Answer 8 · 2026-04-14 06:08:31

2.2k

Views

Non Commutative Polynomial Ring

Published on 14 Apr 2026 - 6:08

score 192 · Answer 9 · 2026-04-09 03:41:39

192

Views

Multivariate Polynomial Defined Recursively By A Resultant Function

Published on 09 Apr 2026 - 3:41

score 135 · Answer 10 · 2026-04-15 15:52:27

135

Views

Power series such that the $n$-th partial sum has $n$ distinct roots

Published on 15 Apr 2026 - 15:52

score 166 · Answer 11 · 2026-04-17 08:37:16

166

Views

If a polynomial $f$ is zero at $(a_1,...,a_k,x_{k+1},...,x_{n})$ then $f$ lies in the ideal $(x_1-a_1,...,x_n - a_n)?$

Published on 17 Apr 2026 - 8:37

score 133 · Answer 12 · 2026-04-14 23:59:35

133

Views

What would be the roots of the derivative of this polynomial

Published on 14 Apr 2026 - 23:59

score 139 · Answer 13 · 2026-04-12 08:47:54

139

Views

Quotient of a coordinate ring by a polynomial

Published on 12 Apr 2026 - 8:47

score 58 · Answer 14 · 2026-04-15 10:46:24

58

Views

What's a good method to solve $x^n+1/x^n$ equation?

Published on 15 Apr 2026 - 10:46

score 136 · Answer 15 · 2026-04-14 17:54:01

136

Views

Mnev's Universality Type Theorem

Published on 14 Apr 2026 - 17:54

List Question

Prove that there exists a function $g$ such that $f(x)=(x-a)g(x) + b$ for all $x$.

What theorem is being invoked in this solution to deciding if this polynomial is solvable by radicals?

Elementary set theory proof by contradiction

Linear Algebra: Show Polynomial Is A Subspace

Algebraic subset of $\mathbb C^n$ is finite if it is countable

Calculate coefficients of polynomial

proof about irreducible polynomials with complex roots in Q

Non Commutative Polynomial Ring

Multivariate Polynomial Defined Recursively By A Resultant Function

Power series such that the $n$-th partial sum has $n$ distinct roots

If a polynomial $f$ is zero at $(a_1,...,a_k,x_{k+1},...,x_{n})$ then $f$ lies in the ideal $(x_1-a_1,...,x_n - a_n)?$

What would be the roots of the derivative of this polynomial

Quotient of a coordinate ring by a polynomial

What's a good method to solve $x^n+1/x^n$ equation?

Mnev's Universality Type Theorem

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