SOLUTION: Determine a polynomial function of lowest degree with rational coefficients that has the roots 3+2i, 3-2i , -1 (multiplicity 2). Can someone help and exlain to me how to sol

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Question 763019: Determine a polynomial function of lowest degree with rational coefficients that has the roots 3+2i, 3-2i , -1 (multiplicity 2).
Can someone help and exlain to me how to solve this? Thank you in advance.

Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
Multiplicity 2 tells us that the root -1 occurs twice, so




i.e.





Therefore the least degree would be 4:



:)

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