Answers Mathematics III A Writing Polynomial Functions from Complex RootsQuestion 4

4

QuizMultiple Choice

Writing Polynomial Functions from Complex Roots

Question 4 • Mathematics III A

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

Answer

A

f(x) = (x – 2i)(x – 3i)

B

f(x) = (x + 2i)(x + 3i)

C

f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i)

D

f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)

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