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(x-1 )(x^99+x^98....x^2+x+1) =x^100 - x^99+x^99-x^98+x^98-x^98 .... x^3-x^2+x^2 - x +x -1. Czyli wsystkie oprócz x^100 i (-1) się zerują.
Najprostsza postać to: x^100-1.