Use the given zero to find the remaining zeros of the functi

Use the given zero to find the remaining zeros of the function (show work)

f(x)= x^5 - 10x^4 + 42x^3 -124x^2 +297x - 306 ; zero: 3i

f(x)= x^5 - 10x^4 + 42x^3 -124x^2 +297x - 306

Given f(x) = 0 at x = 3i

f(x) = [x^4 + x^3(-10 + 3i) + x^2(33 – 30i) + x(-34 + 99i) – 102i]*(x - 3i)

f(x) = (x – 2.65 – 2.8i)* (x – 2.65 + 2.8i)*(x – 5.87)*(x + 1.165)*(x - 3i)

x = (2.65 + 2.8i), (2.65 – 2.8i), 5.87, -1.165, 3i are the required zeros.