Roots of complex polynomial have modulus less than 1
96592
Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
46821
Finding roots in $\mathbb{Z}_p$
51314
How to prove that a complex number is not a root of unity?
93820
Fermat's little theorem applied for $n$'th root existence $\!\bmod p$
145509
Prove the roots of $p(z)+z^n\bar{p}(\frac{1}{z})$ lie on the unit circle
77470
Find modulus of $\frac{|z_1-z_2|}{|1-(z_1)(\overline{z_2})|}$
79012
Why is it so hard to find the roots of polynomial equations?
115834
Cubic polynomial with three (distinct) irrational roots
44802
The $n$ complex $n$th roots of a complex number $z$
94179
Problems on Cyclotomic Polynomials
144769
Distinct roots of $ax^2-bx+c=0$ in $(0,1)$, where $a,b,c\in \mathbb{Z}^+$
6484
Polynomials in one variable with infinitely many roots.
107765
Prove that there exists two roots in $[-1,1]$
85383
No. Of real roots of an equation
69523
Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)
121304
Is the set of polynomials of degree less than or equal to $n$ closed?