Question 132
Let $P(X)$ be a polynomial with real coefficients such that
$x \cdot P(x+2022)-(x+2023) \cdot P(x)=2022 \cdot x-2023$, for every $x \in \mathbb{R}$. Find the remainder of the division of the polynomial $P(X)$ by the polynomial $Q(X)=X^{2}+X$.
$x \cdot P(x+2022)-(x+2023) \cdot P(x)=2022 \cdot x-2023$, for every $x \in \mathbb{R}$. Find the remainder of the division of the polynomial $P(X)$ by the polynomial $Q(X)=X^{2}+X$.