$|f(z)| \leq M|z|^n$, then $f$ is a polynomial of degree $\leq n$
2527
Entire function bounded by a polynomial is a polynomial
68124
why is $\sum\limits_{k=1}^{n} k^m$ a polynomial with degree $m+1$ in $n$
156034
sufficient condition for a polynomial to have roots in $[0,1]$
14836
A polynomial sequence
80826
To prove $\left|\frac{p_n(z)}{q_m(z)}\right|\leq \frac{M}{|z|^{m-n}}$ for some $M>0$
54875
How to prove polynomials with degree $n$ does not form a vector space?
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
103246
Prove that a polynomial of degree $d$ has at most $d$ roots (without induction)
6722
to show $f$ is a polynomial in $z$
48873
Let $K$ be a field and $f(x)\in K[X]$ be a polynomial of degree $n$. And let $F$ be its splitting field. Show that $[F:K]$ divides $n!$.
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
80397
Show that this set of polynomials is ideal in F[x]
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
73419
For $f$ entire and $\{f(kz) : k \in \mathbb{C}\}$ a normal family, prove that $f$ is a polynomial.
26728
Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$