Posted by lisa on Sunday, March 10, 2013 at 8:59am.
complex numbers, like radicals, always come in their conjugate form
so if -2i is a zero so is +2i
so f(x) = (x-1)(x-2)(x - 2i)(x + 2i)
the last two factors multiply for x^4 + 4
f(x) = (x-1)(x-2)(x^4 + 4)
expand if needed, I like it the way it is.
no comma there actually
zero when
x = 1-2i
x = 1+2i
x = 2
so I get
(x-2)(x-1+2i)(x-1-2i)
(x-2) (x^2-2x+5)
Just have to get stronger glasses.
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