New posts in polynomials

Is there any irreducible polynomial over $\mathbb{Q}$ whose Galois group is $S_4$?

polynomials galois-theory

Prove that the given polynomial is irreducible in $\mathbb{Z}[X]$.

abstract-algebra polynomials commutative-algebra irreducible-polynomials

A determinant involving a polynomial is $0$

matrices derivatives polynomials determinant partial-fractions

Is $x^3+y^3+z^3-1$ irreducible over a field $k$ of characteristic $\neq 3$?

abstract-algebra polynomials ring-theory irreducible-polynomials

Solving $p^x = x^q$ [closed]

polynomials exponential-function

Proving Quadratic Formula

algebra-precalculus polynomials quadratics

Reference request: Abel or Ruffini's proof of the Abel-Ruffini theorem

reference-request polynomials galois-theory

Why is the polynomial ring of more than one variable not a PID?

polynomials ring-theory principal-ideal-domains

Zero-divisors and units in $\mathbb Z_4[x]$

abstract-algebra polynomials

Dot product with which polynomial gives evaluation at $x_0$?

linear-algebra polynomials inner-products

Coefficients of Mystery Polynomial

polynomials

Discriminant for $x^n+bx+c$

sequences-and-series polynomials

Counting roots of a multivariate polynomial over a finite field

abstract-algebra polynomials finite-fields

If $f$ has a vanishing (first or higher) derivative at every point, $f$ is a polynomial

calculus real-analysis analysis polynomials

Polynomials in nature

polynomials reference-request education applications

A polynomial that annihilates two other

linear-algebra polynomials

When does a formula for the roots of a polynomial exist?

abstract-algebra polynomials galois-theory solvable-groups

For which monic irreducible $f(x)\in \mathbb Z[x]$ , is $f(x^2)$ also irreducible in $\mathbb Z[x]$?

polynomials ring-theory irreducible-polynomials

finite polynomials satisfy $|f(x)|\le 2^x$

real-analysis polynomials contest-math nonlinear-optimization

Checking if given polynomials are units in $\mathbb{Z}_7[x]$ [duplicate]

abstract-algebra polynomials ring-theory commutative-algebra