Polynomial $P(x)$ with $P(x)\in\mathbb Q$ iff $x\in \mathbb Q$
47856
$f(x)=ax+b$ for some $a,b\in\mathbb{Q}$ if $f(\mathbb{Q})\subset\mathbb{Q}$ and $f(\mathbb{R-Q})\subseteq \mathbb{R}-\mathbb{Q}$
133101
Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
112205
Which of the following polynomials are subspaces of $\mathbb{P}_n$ for an appropriate value of n?
135768
Find $P(n+1)$ for a polynomial P
55509
Factor a polynomial over the reals
113892
Show $A \in \cal F$ exists, such that $\mathbb P(A)=1$ and $\mathbb Q(A)=0$.
63321
Polynomials and partitions
35959
irreducibility of a polynomial over $\mathbb{F}_2$
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
34693
Prove $E^{\mathbb Q}[Y]=E^{\mathbb P}[XY]$ if $E^{\mathbb P}[X]=\mathbb P(X>0)=1$ and $ \mathbb Q(A)=E^{\mathbb Q}[X1_A] $
117353
Polynomial equation $f(x)f(2x^2)=f(2x^3+x)$
115004
If $x\notin\mathbb Q$, then $\left|x-\frac{p}{q}\right|<\frac{1}{q^2}$ for infinitely many $\frac{p}{q}$?
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.
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
77403
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.