SOLUTION: Given that the polynomial function has the given zeros, find the other zeros. f(x)=x^3-11x^2+55x-125;5 The other zeros are? I can not figure out this problem. Thanks:)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that the polynomial function has the given zeros, find the other zeros. f(x)=x^3-11x^2+55x-125;5 The other zeros are? I can not figure out this problem. Thanks:)      Log On


   

Question 1024937: Given that the polynomial function has the given zeros, find the other zeros.
f(x)=x^3-11x^2+55x-125;5
The other zeros are?
I can not figure out this problem. Thanks:)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can divide,
%28x%5E3-11x%5E2%2B55x-125%29%2F%28x-5%29=x%5E2-6x%2B25
This quadratic only has complex roots since b%5E2-4ac=%28-6%29%5E2-4%281%29%2825%29%3C0
So then,
x%5E2-6x%2B25=0
x%5E2-6x%2B9%2B25=9
%28x-3%29%5E2%2B25=9
%28x-3%29%5E2=-16
x-3=0+%2B-+4i
x=3+%2B-+4i