Welcome to Bytelearn!

Let’s check out your problem:

Given the set of zeros $\{-5,1, \pm 2 i\}$, which is a polynomial of least degree in factored form with a leading coefficient of one?$\newline$$f(x)=(x-5)(x+1)\left(x^{2}-4\right)$$\newline$$f(x)=(x+5)(x-1)\left(x^{2}+2\right)$$\newline$$f(x)=(x-5)(x+1)(x+2 i)^{2}$$\newline$$f(x)=(x+5)(x-1)\left(x^{2}+4\right)$