Can a quadratic polynomial with integer coefficients have a root of unity of order 5 or greater than 6 as a zero?
122932
When $(\mathbb{Q}(\zeta_n) : \mathbb{Q}) = 2$?
49121
Factorizing a polynomial $f$ in $A[x]$ (with $A$ commutative), where $f$ has a zero in its field of fractions
69523
Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)
46798
Is it possible that the zeroes of a polynomial form an infinite field?
97028
Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5
153647
Elementary number theory and quadratic
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
103238
Conjugates of ${\sqrt 5 + \sqrt 6 }$ over $\mathbb{Q}$ and irreducibility of $x^4 -22x^2+1$ (for minimal polynomial)
144769
Distinct roots of $ax^2-bx+c=0$ in $(0,1)$, where $a,b,c\in \mathbb{Z}^+$
77820
Roots in a polynomial ring
147952
Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
121373
Elementary Symmetric Polynomials, Roots of cubic polynomials
131289
Polynomial with a root modulo every prime but not in $\mathbb{Q}$.
134699
Can *any* real polynomial be factored linearly (plus a constant) over $\mathbb{R}$?
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
17786
Existence of Consecutive Quadratic residues