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12 January, 19:37

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?

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  1. 12 January, 19:43
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    Root of 2i also means there is a root of - 2i

    Root of 3i also means there is a root of - 3i

    Factors will be (x^2 + 4) (x^2 + 9).

    Multiply this out to get the polynomial:

    x^4 + 13x^2 + 36
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