\begin{definition}[Definition:Depressed Polynomial]
Let $f \left({x}\right)$ be a polynomial over a field $k$:
:$f \left({x}\right) = a_n x^n + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + \cdots + a_1 x + a_0$
If $a_{n-1} = 0_k$, then we call $f$ a '''depressed polynomial'''.
{{research|It would seem an overly strong assumption to require $k$ to be a field}}
\end{definition}