Show that $f$ is a polynomial
33099
If $f$ is an entire function where every power series expansion has at least one 0 term, show it is a polynomial
21891
If $f(xy)=f(x)f(y)$ then show that $f(x) = x^t$ for some t
127547
Prove that If $f$ is polynomial function of even degree $n$ with always $f\geq0$ then $f+f'+f''+\cdots+f^{(n)}\geq 0$.
65901
Solution verification to complex analysis problem, prove $f$ is a polynomial.
91388
Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0
68139
Show that the set of polynomials with rational coefficients is countable.
12596
Show that $f(x)=a_0+a_1x+a_2x^2+\cdots+a_nx^n\in R[x]$ is nilpotent iff $a_0,a_1,a_2,\ldots,a_n$ are nilpotent
155444
Show that entire function $f$ is a polynomial of degree at most $n$
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.
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
96592
Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
65548
Prove if f(z) is entire function s.t $|f(z)|\leq M|z|$ then $f(z)$ Is polynomial of degree $1$
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
148451
Polynomial inequality proof
134726
Show the polynomial is irreducible in $\textbf Z_2$
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
156034
sufficient condition for a polynomial to have roots in $[0,1]$