If $P(x)$ is a polynomial over the Real Field such that for an integer $k$, $P(k)$ is an integer, then show that $n!P(x)$ is an integer polynomial
138026
To show that $n!f(x) \in \mathbb{Z}[x]$
141983
Complex polynomial of degree $n$
158148
Find all polynomials $P(x)$ such that $P(x^2)=P(x)^2$
79359
Show that $f$ is a polynomial if it's the uniform limit of polynomais
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.
55119
Proof that the coefficients of a polynomial are real
42813
Square valued integer polynomial
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
139017
If a polynomial takes integer values at every integer, does it have integer coefficients?
129834
Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
73419
For $f$ entire and $\{f(kz) : k \in \mathbb{C}\}$ a normal family, prove that $f$ is a polynomial.
47792
Integer coefficient polynomial - values as powers of 2
156034
sufficient condition for a polynomial to have roots in $[0,1]$
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
145191
Content of a polynomial
53244
Prove that $p \in \mathbb{R}[x]$ can be represented as a sum of squares of polynomials from $\mathbb{R}[x]$
152347
Proof that a certain entire function is a polynomial