SOLUTION: Find the complex zeros of each polynomial function. Write f in factored form. f(x)= x^4-1

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Find the complex zeros of each polynomial function. Write f in factored form. f(x)= x^4-1      Log On


   

Question 852792: Find the complex zeros of each polynomial function. Write f in factored form.
f(x)= x^4-1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(x)= x^4-1     Factor & Set to Zero

f(x)= (x^2+1)(x^2-1) = 0

       x^2 = -1

        x = i, -i   Complex Roots

       x^2 = 1

        x = 1, -1