Polynomials
Posted: Mon Jan 04, 2016 6:24 pm
Find all the polynomials \(\displaystyle{f(x)=\sum_{i=0}^{n}a_{i}\,x^{i}\in\mathbb{R}_{[x]}}\)
with \(\displaystyle{a_{i}\in\left\{-1,1\right\}\subseteq \mathbb{R}}\) and \(\displaystyle{n}\) real
roots \(\displaystyle{r_{i}\in\mathbb{R}\,,i\in\left\{0,1,...,n\right\}}\) .
with \(\displaystyle{a_{i}\in\left\{-1,1\right\}\subseteq \mathbb{R}}\) and \(\displaystyle{n}\) real
roots \(\displaystyle{r_{i}\in\mathbb{R}\,,i\in\left\{0,1,...,n\right\}}\) .