Question

Factor and find the zero(s)

Answer 1

Part 1

`f(x)=x^4 - 5x^2-36 \\ \\ f(x)=(x^2-9)(x^2+4) \\ \\ f(x)=(x-3)(x+3)(x^2+4) \\ \\ \boxed{f(x)=(x-3)(x+3)(x-2i)(x+2i)}`

Part 2

`x=-3, 3, 2i, -2i`