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

Question

Mathematics

Davin

27 July, 05:14

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

+4

Answers (1)

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Mckenzie Mclean · Answer 1

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