Form a polynomial of degree 5 having the following zeros. 3 multiplicity of 3 and 1+3i. Leave i’m factored form.

Answer 1

All that is lacking is the conjugate to 1+3i which is 1-3i

f(x) = (x-3)³(x-(1+3i))(x-(1-3i))

or

f(x) = (x-3)³(x²-2x+10)