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

answer: i realy don't get it that much can you me figer it out pleas you

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.