SOLUTION: Find a polynomial function of lowest degree with integer coefficients that has the given zeros. 2, 2i, −2i

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Question 678474: Find a polynomial function of lowest degree with integer coefficients that has the given zeros.
2, 2i, −2i
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
If a polynomial has a zero then the polynomial has a factor of the form:
(x - z)
where "z" is the zero.

Your polynomial, with zeros of 2, 2i and -2i, will have factor of:
(x - 2)(x - 2i)(x - (-2i))
The third factor simplifies to:
(x - 2)(x - 2i)(x + 2i)

All you have to do now is multiply. I suggest that you start by multiplying the last two factors first. (Hint: the i's will disappear!)