Prove there is a polynomial $P_0$ with the property that $\mathcal{I}$ consists precisely of the multiples of $P_0$.
7833
Ideal and minimal polynomial
55119
Proof that the coefficients of a polynomial are real
33696
A polynomial is zero if it zero on infinite subsets
148910
Multivariate polynomials have infinitely many zeroes
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
111505
Proof $\binom{p-1}{k}\equiv (-1)^k \mod{p}$
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
153107
Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
129109
Is the set of polynomial with coefficients on $\mathbb{Q}$ enumerable?
79940
$\binom{p}{i}$ divisible by $p$, with $p$ prime
2408
Show that a polynomial has at least one positive solution/root.
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.
1962
Polynomial $P(a)=b,P(b)=c,P(c)=a$
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
7199
Suppose that $P(x)$ is a polynomial of degree $n$ such that $P(k)=\dfrac{k}{k+1}$ for $k=0,1,\ldots,n$. Find the value of $P(n+1)$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
151729
Existence of a unique polynomial