If $P(z)=z^n+a_{n-1}z^{n-1}+a_{n-2}z^{n-2}+...+a_1z+a_o$ a polynomial whose coefficients are all real.
70203
If an polynomial has a complex root, is it necessary that its conjugate is also a root?
149544
maximum of monic polynomial on unit circle is 1 implies $p(z)=z^n$
157109
Finding the Dimension of a Matrix Polynomial: $W$ = { $p(B)$ : $p$ is a polynomial with real coefficients}
26728
Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$
69523
Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)
31544
How to prove that this polynomial is larger than another for positive reals?
146506
If a complex function $f$ is Entire, and there exist $k,R > 0$, $n \in N$ such that $|f(z)| > k|z|^n$ for all $|z| > R$, then f is a polynomial.
51769
If $x,y,z\in[-1,1]$ and $1+2xyz\geq x^2+y^2+z^2$, then can we infer $1+2(xyz)^n\geq x^{2n}+y^{2n}+z^{2n}$?
145191
Content of a polynomial
6722
to show $f$ is a polynomial in $z$
114146
Polynomial in $n$ variables
55347
for two non zero complex polynomial $p(z),q(z)$ we have $p(z)\overline{q(z)}$ is analytic if and only if ?? CSIR - June $2013$
152982
Show that the range of $p(z)e^{q(z)}$ for nonconstant polynomials $p$ and $q$ is all of $\mathbb{C}$.
134088
How to factorize $x^4+2x^2+4$ to a product of polynomials with real coefficients?
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
89381
Prove that a real polynomial $x^n+ a_1x^{n-1}+ \cdots a_n$ cannot be completely resolved into linear factors if $a_1^2<a_2$.
109860
Is the number $7$ a polynomial expression.