math
posted by lisa on .
write a polynomial function in standard form with the given zeros. 12i,2

complex numbers, like radicals, always come in their conjugate form
so if 2i is a zero so is +2i
so f(x) = (x1)(x2)(x  2i)(x + 2i)
the last two factors multiply for x^4 + 4
f(x) = (x1)(x2)(x^4 + 4)
expand if needed, I like it the way it is. 
no comma there actually
zero when
x = 12i
x = 1+2i
x = 2
so I get
(x2)(x1+2i)(x12i)
(x2) (x^22x+5) 
Just have to get stronger glasses.