Respuesta :

mhanifa

Answer:

  • B. x - 2

Step-by-step explanation:

Without checking it is x - 2 as -12/6 = -2

Lets verify by multiplication:

  • (x - 2)(x² + 5x + 6) =
  • x³ + 5x² + 6x - 2x² - 10x - 12 =
  • x³ + 3x² - 4x - 12

Confirmed

msm555

Answer:

(x³+3x²-4x-12)÷(x²+5x+6)

Doing middle term factorization

(x²(x+3)-4(x+3))÷(x²+3x+2x+6)

Taking common

(x+3)(x²-4)÷(x(x+3)+2(x+3)

(x+3)(x+2)(x-2)÷(x+3)(x+2)

x-2

B.x-2is a required answer.

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