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Respuesta :

Answer:

  • (x - 6)(x - 2)(x + 4)

Step-by-step explanation:

Given function

  • f(x) = x³ - 4x² - 20x + 48 with one root of x = 6

Finding other factors, considering (x - 6) is the factor

  • x³ - 4x² - 20x + 48 =
  • x³ - 6x² + 2x² - 12x - 8x + 48 =
  • (x - 6)(x² + 2x - 8) =
  • (x - 6)(x² - 2x + 4x - 8) =
  • (x - 6)(x - 2)(x + 4)