Final answer:
Finding imaginary zeros of x³-2x-4 requires the polynomial to be factored into a solvable form, possibly revealing real zeros first; only then can we apply the quadratic formula for any resulting quadratic equation to find imaginary zeros.
Step-by-step explanation:
To find the imaginary zeros of the polynomial x³-2x-4, we must first attempt to factor the polynomial or use methods such as synthetic division or the rational root theorem to find any real zeros. If these methods do not reveal all the zeros, we can resort to numerical methods or graphing to approximate the zeros and finally conclude about the presence of complex zeros.
However, since the provided polynomial is of degree 3, and we are looking for imaginary zeros specifically, we have a cubic equation rather than a quadratic one. The standard method for finding zeros of quadratic equations, such as using the quadratic formula ax²+bx+c = 0, does not apply directly here. If by any chance the polynomial can be reduced to a quadratic equation after factoring out a real zero, then we can use the quadratic formula to find the remaining imaginary zeros, if they exist.
In essence, we need more information or context to provide an accurate answer about the imaginary zeros of x³-2x-4. Without an actual quadratic equation or a factorable cubic equation, we cannot proceed with the quadratic formula or similar methods.