Posted by **lisa** on Sunday, March 10, 2013 at 8:59am.

write a polynomial function in standard form with the given zeros. 1-2i,2

- math -
**Reiny**, Sunday, March 10, 2013 at 9:48am
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.

- math -
**Damon**, Sunday, March 10, 2013 at 10:58am
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)

- Go with Damon - math -
**Reiny**, Sunday, March 10, 2013 at 11:35am
Just have to get stronger glasses.

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