Question

How do I find all Zeros and write in polynominal factored form for: f(x)=x^4-256

Answer 1

this is \[f(x) = (x^2)^2 - 16^2\]

so the problem is the difference of 2 squares

so it can be factorised as

\[(x^2 + 16)(x^2 - 16) = (x^2 +16)(x -4)(x+4)\]

so the zeros are x = 4, -4 and

\[x = \pm \sqrt{-16} ... or x = \pm 4i\]

Answer 2

thank you...

Answer 3

hope it helps