$Show thatx_{p}−xhaspdistinct zeros inZ_{p},for any primep.Conclude thatx_{p}−x=x(x−1)(x−2)⋯(x−(p−1)) $

begin{array}{c}{text { Show that } x^{p}-x text { has } p text { distinct zeros in } mathbb{Z}_{p}, text { for any prime } p . text { Conclude that }} \ {x^{p}-x=x(x-1)(x-2) cdots(x-(p-1))}end{array}

#### Top Answer

By using of Fermat's Little Theorem, that... View the full answer