Answer to Question #200240 in Abstract Algebra for Huda mathmatic

Question

Find the solution of the equation x³-2x²-3x in z₁₂

Answer 1

$f(0)=0,f(1)=-4=8,f(2)=-6=6,f(3)=0$

$f(4)=20=8,f(5)=60=0,f(6)=126=6,f(7)=224=8$

$f(8)=360=0,f(9)=540=0,f(10)=770=2,f(11)=1056=0$

Roots are:

$\{0,3,5,8,9,11\}$