Question

What is the maximum degree of a polynomial of the form \(\sum_{i=0}^n a_i x^{n-i}\) with \(a_i = \pm 1\) for \(0 \leq i \leq n, 1 \leq n\), such that all the zeros are real?

Answer 1

http://math.stackexchange.com/questions/1239878/only-12-polynomials-exist-with-given-properties