Proving that $f(z)$ is polynomial
2527
Entire function bounded by a polynomial is a polynomial
43511
Proving products of coefficients of two polynomials are zero when the product of the polynomials is zero
92537
Prove that $f(x)\in \mathbb{Z}[x]$ such that $f(0)$ and $f(1)$ are odd has no integer roots
68139
Show that the set of polynomials with rational coefficients is countable.
57368
Prove that a positive polynomial function can be written as the squares of two polynomial functions
141983
Complex polynomial of degree $n$
41810
Should all polynomial functions from F to F (F is a field) have coefficients in F?
123467
Prove that $f(z) = e^z$ maps $\mathbb{C} \setminus B $ onto $\mathbb{C} \setminus \{0\}$.
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
120985
Prove that $\mathrm{Res}[f/g,z_0]=\frac{f(z_0)}{g'(z_0)}$
149544
maximum of monic polynomial on unit circle is 1 implies $p(z)=z^n$
79359
Show that $f$ is a polynomial if it's the uniform limit of polynomais
15914
Prove that any polynomial function is continuous
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
103246
Prove that a polynomial of degree $d$ has at most $d$ roots (without induction)