jessicamoreno1738 jessicamoreno1738
  • 24-08-2021
  • Mathematics
contestada

What is the factored form of this expression x^3+3x^2-6x-18

Respuesta :

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  • 28-08-2021

Answer:

(x + 3) (x^2 - 6)

Step-by-step explanation:

Factor the following:

x^3 + 3 x^2 - 6 x - 18

Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):

x^2 (x + 3) - 6 (x + 3)

Factor x + 3 from x^2 (x + 3) - 6 (x + 3):

Answer: (x + 3) (x^2 - 6)

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