SOLUTION: what are the complex zeros and the multiplicities of q(x)=x^4-256

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: what are the complex zeros and the multiplicities of q(x)=x^4-256      Log On


   

Question 977700: what are the complex zeros and the multiplicities of
q(x)=x^4-256
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4-256=0
%28x%5E2-16%29%28x%5E2%2B16%29=0
%28x-4%29%28x%2B4%29%28x%5E2%2B16%29=0

continuing with the irreducible quadratic,
x%5E2=-16
x=0%2B-+4i

The roots for q(x) are 4, -4, and -4i and 4i.