Respuesta :

The complex zeros of the polynomials  are 20i and -20i

Given the polynomials, the zeros of the polynomial are gotten by equating the function to zero and then factorizing as shown:

f(x)=x^3−96x^2+400

x^3−96x^2+400 = 0

x^2(x-96) + 400 = 0

x^2(x - 96) = -400

x^2 = -400

Get the required complex roots:

x^2 = -400

x = ±√-400

x = ±20i

Hence the complex zeros of the polynomials  are 20i and -20i

Learn more on zeros of polynomials here: https://brainly.com/question/4142886