If $f: \mathbb{R}^2 \to \mathbb{R}$ is polynomial in each argument, $f$ is polynomial
32352
Is a bivariate function that is a polynomial function with respect to each variable necessarily a bivariate polynomial?
152841
I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
138653
Is $\mathbb{R}$ a subspace of $\mathbb{R}^2$?
134726
Show the polynomial is irreducible in $\textbf Z_2$
131869
How to find all polynomials P(x) such that $P(x^2-2)=P(x)^2 -2$?
12079
A positive polynomial is the sum of two squares in $\mathbb{R}[X]$
34260
Injective function from $\mathbb{R}^2$ to $\mathbb{R}$?
55764
Algebraic closure of $\mathbb F_p$
155575
Proving a polynomial $f(x)$ composite for infinitely many $x$
36996
If $x^{2}-x\in Z(R)$ for all $x\in R$, then $R$ is commutative.
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
15914
Prove that any polynomial function is continuous
122160
$f:\mathbb R \to \mathbb R$ be a continuous such that $f(f(f(x)))=x,\forall x \in \mathbb R$ , is $f(x)=x , \forall x \in \mathbb R$?
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
146506
If a complex function $f$ is Entire, and there exist $k,R > 0$, $n \in N$ such that $|f(z)| > k|z|^n$ for all $|z| > R$, then f is a polynomial.
80397
Show that this set of polynomials is ideal in F[x]