SOLUTION: Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 1, and -3 +5i as zeros. What is the remaining 0? I don't know how to find

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Question 149084: Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 1, and -3 +5i as zeros. What is the remaining 0?
I don't know how to find this out, your help would be appreciated.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
Use the fact that complex roots ALWAYS come in conjugate pairs to go directly to your answer. If is a root of the polynomial function, then is also a root.
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