How do you list all possible rational roots for each equation, use synthetic division to find the actual rational root, then find the remaining 2 roots for #x^3-2x^2+9x-18=0#?
The list of possible root are the divisors of 18 :
Actually the polynomial given is factored quite easily
Hence the roots are
Using synthetic division we have that
1 -2 9 -18 | 2 1 -9 | 0