grandes-ecoles 2024 Q2

grandes-ecoles · France · centrale-maths2__official Factor & Remainder Theorem Polynomial Degree and Structural Properties

Let $P \in \mathbb{K}[X]$. Determine the degree of $\Delta(P)$ as a function of that of $P$, where $\Delta(P) = P(X+1) - P(X)$.

Let $P \in \mathbb{K}[X]$. Determine the degree of $\Delta(P)$ as a function of that of $P$, where $\Delta(P) = P(X+1) - P(X)$.