roxxy0290
roxxy0290 roxxy0290
  • 16-08-2019
  • Mathematics
contestada

use the grouping method to factor the polynomial below completely. x^3+2x^2+3x+6​

Respuesta :

zrh2sfo
zrh2sfo zrh2sfo
  • 16-08-2019

Answer:

(x + 2) (x^2 + 3)

Step-by-step explanation:

Factor the following:

x^3 + 2 x^2 + 3 x + 6

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

x^2 (x + 2) + 3 (x + 2)

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

Answer:  (x + 2) (x^2 + 3)

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