help me please!

[francinnez]

the function below has at least one rational zero.
use this fact to find zeros of the function.
write exact values , no decimals.


3x^3+5x^2 +5x+2

(complex numbers)

im stuck on this , i understand setting up my possible zeros.

 

[pka]

the function below has at least one rational zero.
use this fact to find zeros of the function.
write exact values , no decimals. 3x^3+5x^2 +5x+2

\(\displaystyle 3x^3+5x^2 +5x+2\)

First note that this is of odd degree. Thus is has at least one real root.
My advise to is to look at its graph.
Once you have a root, you should be able to factor the rest.