\begin{align*}C(p(x)q(x)) = C(p(x)) C(q(x))\end{align*} for \(C\) the content of a polynomial, i.e. the gcd of the coefficients.
\begin{align*}C(p(x)q(x)) = C(p(x)) C(q(x))\end{align*} for \(C\) the content of a polynomial, i.e. the gcd of the coefficients.