Prove thar a function is a polynomial
5625
Entire function with vanishing derivatives?
102086
Prove a property of divisor function
80002
zeros of a polynomial
88271
Prove the exsistence of 3 zero points of a function
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
91388
Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0
141184
Proof that a degree 4 polynomial has at least two roots
147021
Proving a function is bounded
139614
Polynomial bounded real part of an entire function
2408
Show that a polynomial has at least one positive solution/root.
155575
Proving a polynomial $f(x)$ composite for infinitely many $x$
156034
sufficient condition for a polynomial to have roots in $[0,1]$
155444
Show that entire function $f$ is a polynomial of degree at most $n$
99726
Proving that a function is not a contraction
84697
Show that if $|f(z)| \leq M |z|^n$ then $f$ is a polynomial max degree n
86882
Proving Gauss' polynomial theorem (Rational Root Test)
143466
Roots of functions / polynomials