Respuesta :

mhanifa

Answer:

  • x = 2, x = 4, x = -3

Step-by-step explanation:

Given

  • P(x) = x3 - 3x2 - 10x + 24
  • One of zeros is x = 2

To find

  • All zeros

Solution

x³ - 3x² - 10x + 24 is divisible by x - 2 as one of zeros is 2, then:

  • x³ - 2x² - x² + 2x - 12x + 24 =
  • (x - 2)(x² - x - 12) =
  • (x - 2)( x² - 4x + 3x - 12) =
  • (x - 2)(x - 4)(x + 3)

Other zeros are x = 4 and x = -3

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