A doubt regarding polynomials
111569
Property of a polynomial with no positive real roots
148813
Prove: $f: \mathbb{R} \rightarrow \mathbb{R}$ st for every $x \in \mathbb{R}$ there exists $n$ st $f^{(n)}(x) = 0$, f is a polynomial.
47443
Iterated polynomial problem
114812
Let $p(z)=z^n+a_{n-1}z^{n-1}+a_{n-2}z^{n-2}+...+a_0$ be a complex polynomial satisfying $|p(z)| \leq 1$ for $|z|\leq 1$, then prove that $p(z)=z^n$
103340
Show that this entire function is polynomial.
109721
The number of zeros in a polynomial
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
40122
Why does the Euclidean algorithm work for polynomials? What is the proof?
81063
If $p$ is a polynomial, then either $\,p(z)=z^n\,$ or $\,\max_{|z|=1}|p(z)|>1$.
54212
Another polynomial equation
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
13083
If for a polynomial $P(k) = 2^k$ for $k = 0, 1, . . . , n$, what is $P(n+1)$?
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
109860
Is the number $7$ a polynomial expression.
79012
Why is it so hard to find the roots of polynomial equations?
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
100399
A doubt with a part of a certain proof.