Question

Using the given zero, find all other zeros of f(x).

-2i is a zero of f(x) = x4 - 32x2 - 144

Answer 1

I give medals!

Answer 2

hmm can you factor the quartic?

Answer 3

notice \(\bf f(x) = x^4 - 32x^2 - 144\implies f(x)=({\color{brown}{ x^2}})^2-32({\color{brown}{ x^2}})-144\)

should be factorable for \(x^2\)

Answer 4

2i,6,-6?