roots of a polynomial in Z5

[xenonforlife]

I need to find out the roots of the polynomial 3x^3 - 4x^2 - x + 4 in \(\displaystyle \mathbb{Z}_5\).

Should I first convert the polynomial to [tex] \mathbb{Z}_5 [/tex] and then apply brute force to find the roots or should I first find out the roots and then convert them to \(\displaystyle \mathbb{Z}_5 \)?

 

[tkhunny]

Can you really call it "brute force" if there are only five candidates?

Either way. Unique answers don't care how you find them.

Both. The practice will be worth it.

 

[xenonforlife]

Thanks for the reply...i did it both ways... initially i was not sure if the answer would be same both ways...but now I know...yes the practice was surely worth it cuz I could see it myself...thanks anyways...