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

Question

Guest

Mathematics

12 January, 19:37

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

+4

Answers (1)

Know the Answer?

Lauren Santana · 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