Editing All one polynomial (section)

==Definition==
An AOP of [[degree of a polynomial|degree]] ''m'' has all terms from ''x''<sup>''m''</sup> to ''x''<sup>0</sup> with coefficients of 1, and can be written as

:<math>AOP_m(x) = \sum_{i=0}^{m} x^i</math>

or

:<math>AOP_m(x) = x^m + x^{m-1} + \cdots + x + 1</math>

or

:<math>AOP_m(x) = {x^{m+1} - 1\over{x-1}}.</math>

Thus the [[root of a polynomial|roots]] of the '''all one polynomial''' of degree ''m'' are all (''m''+1)th [[roots of unity]] other than unity itself.