Polynomial factorization over number fields that are extensions of the rationals
97654
Rewrite a real polynomial in real (but only linear and quadratic) factors
158063
A formula for the roots of a solvable polynomial
55432
Infinite distinct factorizations into irreducibles for an element
143541
Decomposition of an algebraic number into a sum or product of algebraic numbers with smaller degree
80295
Field extensions and algebraic/transcendental elements
155559
Quickest way to determine a polynomial with positive integer coefficients
129109
Is the set of polynomial with coefficients on $\mathbb{Q}$ enumerable?
8255
Real polynomials from repunits to repunits ( Putnam 2007 A4)
58490
Polynomials, finite fields and cardinality/dimension considerations
137610
Finding the field of fractions of a quotient of a polynomial ring.
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
14270
Polynomial divisibility is unchanged by coeff. field extension
94256
Partial factorization of multivariate polynomials in terms of given polynomials
122050
Algebraic extension of perfect field in which every polynomial has a root is algebraically closed
38871
How to obtain the complete factorization of $P_n(X)=\frac{(X+i)^{2n+1} - (X-i)^{2n+1}}{2i} = 0$
134088
How to factorize $x^4+2x^2+4$ to a product of polynomials with real coefficients?
69136
factorization of a^n+1?