◀ ▲ ▶Branches / Analysis / Proposition: Eveness (Oddness) of Polynomials
Proposition: Eveness (Oddness) of Polynomials
A polynomial $p:\mathbb R\to\mathbb R,$
$$p(x)=a_nx^n + \ldots + a_1x + a_0,\quad(a_k\in\mathbb R),$$ is even (respecively odd) , if and only if for all odd (respectively even) indizes $k$ we have $a_k=0.$
Table of Contents
Proofs: 1
Thank you to the contributors under CC BY-SA 4.0! 
- Github:
-
References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
