Prove all zeros of a polynomial lie in $\{|z| > 1 \}$
96592
Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
67891
Why are there no discrete zero sets of a polynomial in two complex variables?
111569
Property of a polynomial with no positive real roots
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
156034
sufficient condition for a polynomial to have roots in $[0,1]$
38568
Finding the number of zeros of $f(z) = z^n$ if $|f(z)| < 1 $ for all $z$ with $|z|=1$.
145509
Prove the roots of $p(z)+z^n\bar{p}(\frac{1}{z})$ lie on the unit circle
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
49121
Factorizing a polynomial $f$ in $A[x]$ (with $A$ commutative), where $f$ has a zero in its field of fractions
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
86882
Proving Gauss' polynomial theorem (Rational Root Test)
65901
Solution verification to complex analysis problem, prove $f$ is a polynomial.
117777
What are the zero divisors of $C[0,1]$?
119999
A property of every real polynomial.
127547
Prove that If $f$ is polynomial function of even degree $n$ with always $f\geq0$ then $f+f'+f''+\cdots+f^{(n)}\geq 0$.
107765
Prove that there exists two roots in $[-1,1]$
134726
Show the polynomial is irreducible in $\textbf Z_2$