How do you list all possible roots and find all factors and zeroes of #3x^3+9x^2+4x+12#?
Noting that the ratio of the constants for the first two terms is the same as the ratio for the last two terms, provides a hint:
1. there are no Real factors of
- The only Real zero comes from
#x+3=0 rarr x=-3#
If Complex values are allowed:
complex zeroes at