Final answer:
The minimum degree of the polynomial equation is 4.
Step-by-step explanation:
The minimum degree of a polynomial equation is determined by the number of roots it has. In this case, the given polynomial equation has two real roots at x = ±1 and two imaginary roots at x = ±2i. Since imaginary roots always come in conjugate pairs, the polynomial equation must have a minimum degree of 4. Therefore, the minimum degree of the polynomial equation is 4.