List questions from polynomial-rings | MathQa

Maximal ideal of $\mathbb{Z}_{n}[x]$ if $n$ is composite

Published on 12 Jan 2025 - 23:09

Number of roots of a separable polynomial over a connected ring does not exceed deg $f$.

Published on 12 Jan 2025 - 23:27

Show that $(M_n(R))[X]\cong M_n(R[X])$

Published on 12 Jan 2025 - 18:37

How to prove this polynomial multiplication is associative and distributes over addition?

Published on 12 Jan 2025 - 23:28

Subrings of a polynomial ring in one variable

Published on 12 Jan 2025 - 23:07

An easy question (given as an image) of showing $\ker θ = \langle X^2-1\rangle$ where $ θ : ℝ[X] \to M_2(ℝ)$ is a homomorphism.

Published on 12 Jan 2025 - 23:30

A question (given as an image) on how to show a polynomial ring is equal to a principal ideal.

Published on 12 Jan 2025 - 23:28

gcd of $f(x)$ and 0 polynomial

Published on 12 Jan 2025 - 18:06

Irreducible polynomial in integer polynomial ring with complex root is a reciprocal polynomial

Published on 12 Jan 2025 - 23:29

basis of tensor products

Published on 12 Jan 2025 - 17:43