literacy1991 literacy1991

05-07-2017
Mathematics

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Find all solutions to x^3-2x^2-3x=0 in Z12

Respuesta :

mathmate mathmate

15-07-2017

Solutions can be found by factoring:
x^3-2x^2-3x
=x(x^2-2*x-3)
=x(x+1)(x-3)

By the zero product theorem,
x=0, or
(x+1)=0 => x=-1, or
(x-3)=0 => x=3

Therefore the solutions are
{-1,0,3}

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