Show that $P(z)={1\over 2\pi i}\int_C{f(w)\over p(w)}\cdot{p(w)-p(z)\over w-z}dw$ is polynomial, where $p(w)=(w-w_1)\cdots(w-w_n)$
111233
Analytic function and the Lagrange interpolating polynomial
46821
Finding roots in $\mathbb{Z}_p$
114146
Polynomial in $n$ variables
96592
Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
49061
Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$
152347
Proof that a certain entire function is a polynomial
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
4885
Polynomials with integer coefficients such that $p(a)=b,p(b)=c,p(c)=a$
15886
Proof that $\frac {1} {2\pi i} \oint \frac {{\rm d}z} {P(z)} $ over a closed curve is zero.
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
145191
Content of a polynomial
139019
Polynomial satisfying $f(x) = f'(x) \cdot f''(x)$
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
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 $2013$