$P(x)$ is a polynomial with leading coefficient $1$ and degree 2009 such that $P(0)=2008,~P(1)=2007,\cdots,P(2008)=0$
110576
Let $P(x)$ be a polynolmial with degree $2009$ and leading coefficient unity such that $P(0)=2008,P(1)=2007,P(2)=2006,\ldots,P(2008)=0$,
50084
Probability that a quadratic polynomial with random coefficients has real roots
131366
Cyclotomic polynomial
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
100278
Find $\alpha^{2016} + \beta^{2016} + \alpha^{2014} + \beta^{2014} \over \alpha^{2015} + \beta^{2015}$ for zeroes of the polynomial $x^2+3x +1$
102432
Irreducible polynomial of degree $8$
155559
Quickest way to determine a polynomial with positive integer coefficients
118411
Computing the coefficient in a large polynomial
55119
Proof that the coefficients of a polynomial are real
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
152347
Proof that a certain entire function is a polynomial
40426
Polynomial degree 3 Equation
81063
If $p$ is a polynomial, then either $\,p(z)=z^n\,$ or $\,\max_{|z|=1}|p(z)|>1$.
151729
Existence of a unique polynomial
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 $k=0, \dots, n$.
135768
Find $P(n+1)$ for a polynomial P
71799
A complex polynomial with partial derivatives equal to zero is constant.