form a polynomial f(x) with real coefficients having the given:

Question

degree 4

zeros: -2-2i

5 multiplicity 2

Answer 1

( x - (-2 - 2i)) ( x - (-2 + 2i)) ( x-5)^2

(x + 2 + 2i) ( x + 2 - 2i) (x - 5)^2

[(x+2) + 2i ] [ (x+2) - 2i] (x-5)^2