Roots of polynomial
Posted: Wed Jan 20, 2016 4:00 pm
Let $p(x)$ be a non constant polynomial with real coefficients. If for every real $x$ the relation:
\begin{equation} p\left(x^2-1\right)=p(x)p(-x) \end{equation}
holds, find the maximum number of real roots of $p(x)$.
\begin{equation} p\left(x^2-1\right)=p(x)p(-x) \end{equation}
holds, find the maximum number of real roots of $p(x)$.
Hidden Message