argivens4444 argivens4444
  • 16-11-2020
  • Mathematics
contestada

Enter the number of complex zeros for the polynomial function in the box.



f(x)=x3−96x2+400

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 29-12-2021

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

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