# If a polynomial function with rational coefficients has the zeros 2-3i, what are the additional zeros?

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Steve M Share
Jul 25, 2017

We are not given the degree of the polynomial function. We know that complex roots occur in conjugate pairs, so we know there are at least two roots, and this is the most we can conclude:

One root is given as $2 - 3 i$, another roots must be $2 + 3 i$

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