Question 9
Let $P(x)$, $Q(x)$ and $R(x)$ be polynomials with integer coefficients such that the equality $P(x) = Q(x)R(x)$ holds. We denote by $a$ and $b$ the maximum of the absolute values of the coefficients of the polynomials $P(x)$ and $Q(x)$ respectively. Does the condition $b \le 2023a$ always hold?