SOLUTION: Find the complex zeros of the following polynomial function. Write f in factored form. f(x)= x^4+26x^2+25

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the complex zeros of the following polynomial function. Write f in factored form. f(x)= x^4+26x^2+25      Log On


   

Question 1151675: Find the complex zeros of the following polynomial function. Write f in factored form.
f(x)= x^4+26x^2+25
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
%22f%28x%29%22=+x%5E4%2B26x%5E2%2B25

Factor:

%22f%28x%29%22=+%28x%5E2%2B25%29%28x%5E2%2B1%29


x%5E2%2B25=0
x%5E2=-25
x=%22%22+%2B-+5i

x%5E2%2B1=0
x%5E2=-1
x=%22%22+%2B-+i

Four complex zeros:  5i, -5i, +i, -i

Edwin