SOLUTION: f(x)=x^4 +10x^3 +27x^2 +10x+26; if i is one zero, find the other three zeros

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: f(x)=x^4 +10x^3 +27x^2 +10x+26; if i is one zero, find the other three zeros      Log On


   

Question 316380: f(x)=x^4 +10x^3 +27x^2 +10x+26; if i is one zero, find the other three zeros
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If i is a root, so is -i
%28x%2Bi%29%28x-i%29=x%5E2%2B1
Divide the polynomial by x%5E2%2B1 to get another quadratic.
Re-post if you still need help.
Another hint: The other two roots are complex also.