Find all polynomials $P(x)$ has $n$ rational roots.
100862
Polynomials with rational zeros
77820
Roots in a polynomial ring
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
154507
If all the roots of a polynomial P(z) have negative real parts, prove that all the roots of P'(z) also have negative real parts
38851
To find the probability whether $X$ is rational
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
61148
Finding real roots of $ P(x)=x^8 - x^7 +x^2 -x +15$
36087
Every Function in a Finite Field is a Polynomial Function
63321
Polynomials and partitions
27494
$P_n(x):=1+ \sum_{m=1}^n\dfrac{x^m}{m!}$ has no real root for even $n$ and exactly one real root for odd $n$
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
115834
Cubic polynomial with three (distinct) irrational roots
81063
If $p$ is a polynomial, then either $\,p(z)=z^n\,$ or $\,\max_{|z|=1}|p(z)|>1$.
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 $P(n+1)$
14836
A polynomial sequence
66960
Find a polynomial f(x) of degree 5 such that 2 properties hold.
133101
Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial