How do you write a polynomial function of minimum degree in standard form with real coefficients?

Question

whose zeros and their multiplicities include those listed. 6 ​(multiplicity 2), 4+i(multiplicity 1)

Answer 1

(x-6)^2 [( x - 4) + i] [(x-4)-i]

(x-6)^2 [ (x-4)^2 + 1]

(x-6)^2 [ x^2 - 8x + 17]