Editing Reciprocal polynomial (section)

===Examples===
From the properties of the [[binomial coefficient]]s, it follows that the polynomials {{math|1=''P''(''x'') = (''x'' + 1)<sup>''n''</sup>}} are palindromic for all positive [[integer]]s {{math|''n''}}, while the polynomials {{math|1=''Q''(''x'') = (''x'' – 1)<sup>''n''</sup>}} are palindromic when {{math|''n''}} is even and antipalindromic when {{math|''n''}} is [[parity (mathematics)|odd]].

Other examples of palindromic polynomials include [[cyclotomic polynomial]]s and [[Eulerian polynomial]]s.