Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 in you use synthetic division show all three lines of numbers

please show steps and thank you

One real root  

Two imaginary roots                      

Step-by-step explanation:

Given polynomial,

Apply hit and trial method  to find zero

This polynomial has one factor is    

We can find another factor

Real root          

                     is always positive so it have no real roots

Roots are imaginary

has one real root and two imaginary roots