# How do you list all possible roots and find all factors and zeroes of #3x^3+9x^2+4x+12#?

##### 1 Answer

Jul 13, 2016

(see below)

#### Explanation:

Given

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:

Since

1. there are no Real factors of

- The only Real zero comes from
#x+3=0 rarr x=-3#

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If Complex values are allowed:

and

complex zeroes at