Answer:
f(x) = x^4 +4x^3 +5x^2 +4x +4
Step-by-step explanation:
If "a" is a zero, then (x-a) is a factor. The conjugate of a complex zero is also a zero if the polynomial has real coefficients. Then the factorization is ...
f(x) = (x -(-2))(x -(-2))(x -i)(x -(-i)) = (x^2 +4x +4)(x^2 +1)
f(x) = x^4 +4x^3 +5x^2 +4x +4
