Respuesta :

Answer is x^2-x+3

Explanation:
1) x^3-5x^2+7x-12/x-4
2) x^3-4x-x^2+4x+3x-12/x-4
3) x^2x(x-4)-x*(x-4)+3(x-4)/x-4
4) x^2-x*3 because x-4 cancels each other out

9514 1404 393

Answer:

  x^2 -x +3

Step-by-step explanation:

The long division is shown in the attachment, along with details of how the quotient terms are found.

  [tex]\dfrac{x^3-5x^2+7x-12}{x-4}=\boxed{x^2-x+3}[/tex]

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