Polynomials

General Mathematics
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Papapetros Vaggelis
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Polynomials

#1

Post by Papapetros Vaggelis »

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 \(\displaystyle{r_{i}\in\mathbb{R}\,,i\in\left\{0,1,...,n\right\}}\) .
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