Degree 3, zeros: 1,-3-i, find the remaining zeros

Since its to the 3rd degree, then there are 3 zeros, meaning that there's only one remaining zero. And since  "-i" is listed among the current zeros, then the remaining zero must include the opposite: +i so therefore the remaining zero is -3+i. Also its the most likely answer per the information given.

 -3+i

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.

what is

step-by-step explanation: