Let $n \in \mathbb{N}^*$, $W$ be a monic polynomial of degree $n$, and set $Q = \frac { 1 } { 2 ^ { n - 1 } } T _ { n } - W$. Show that $Q$ is a polynomial of degree at most $n - 1$.
Let $n \in \mathbb{N}^*$, $W$ be a monic polynomial of degree $n$, and set $Q = \frac { 1 } { 2 ^ { n - 1 } } T _ { n } - W$. Show that $Q$ is a polynomial of degree at most $n - 1$.