If P a polynomial of degree n let M=Max |f(z)| if Z ∈ D(0,1)
106767
$|p(z)| \leq M$ for $|z| \leq 1$ Show that $|p(z)| \leq M|z|^n$ for $|z| \geq 1$
31303
If $p\in\Bbb Z[X]$ show that: $ \max\limits_{x\in [0,1]}\left|p(x) \right| > \frac{1}{e^{n}}. $
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
10585
Does a polynomial that's bounded below have a global minimum?
96127
Maximum of $|\sin(z)|$ as $\{z: |z| \leq 1 \} $
2527
Entire function bounded by a polynomial is a polynomial
148451
Polynomial inequality proof
40502
The Degree of Zero Polynomial.
149544
maximum of monic polynomial on unit circle is 1 implies $p(z)=z^n$
40014
A polynomial that is zero on an open set
156034
sufficient condition for a polynomial to have roots in $[0,1]$
57026
$f(0)=f'(0)=f'(1)=0$ and $f(1)=1$ implies $\max|f''|\geq 4$
53378
$\max(\{n: n+5 | n^5 + 5\})$
106401
Prove: $p-mq | f(m)$ where $m$ is any integer
124380
existence of sequence of polynomial
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 $n!$.
36087
Every Function in a Finite Field is a Polynomial Function