grandes-ecoles 2024 Q3

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

Show that, for all $d \in \mathbb{N}^{*}$, $\Delta$ induces an endomorphism on $\mathbb{K}_{d}[X]$, where $\Delta(P) = P(X+1) - P(X)$.

Show that, for all $d \in \mathbb{N}^{*}$, $\Delta$ induces an endomorphism on $\mathbb{K}_{d}[X]$, where $\Delta(P) = P(X+1) - P(X)$.