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## Homework Statement

A monic polynomial is a polynomial which has leading coefficient 1. Find the real, monic polynomial of the lowest possible degree which has zeros −1−2i,−2i and i. Use z as your variable.

## The Attempt at a Solution

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Would I just expand the zeros giving me

(z+1+2i)(z+2i)(z-i)

z^3+(1+3*I)*z^2+I*x+I*4+2