Squares of polynomials with all nonzero integer coefficients
137218
Does there exist a polynomial $f(x)$ with real coefficients such that $f(x)^2$ has fewer nonzero coefficients than $f(x)$?
40502
The Degree of Zero Polynomial.
47792
Integer coefficient polynomial - values as powers of 2
4885
Polynomials with integer coefficients such that $p(a)=b,p(b)=c,p(c)=a$
58149
Working with symmetric polynomials
99000
No polynomial with integer coefficients satisfies the conditions
139017
If a polynomial takes integer values at every integer, does it have integer coefficients?
40014
A polynomial that is zero on an open set
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 $k=0, \dots, n$.
4192
Non-algebraically closed field in which every polynomial of degree $<n$ has a root
12079
A positive polynomial is the sum of two squares in $\mathbb{R}[X]$
53244
Prove that $p \in \mathbb{R}[x]$ can be represented as a sum of squares of polynomials from $\mathbb{R}[x]$
121373
Elementary Symmetric Polynomials, Roots of cubic polynomials
10514
Proof that no polynomial with integer coefficients can only produce primes
51094
Prove that the set of integer coefficients polynomials is countable
100862
Polynomials with rational zeros
119999
A property of every real polynomial.