Which of the following options correctly represents the complete factored form of the polynomial?

Answer:
B
Step-by-step explanation:
f(x)=(x-3)(x²+2x+2)
when solve for x using quadratic formula fo x in (x²+2x+2):
x=(-b±√b²-4ac)/2a a=1,b=2,c=2
x=-1±i
f(x)=(x-3)(x+1-i)(x+1+i)