Respuesta :

Step-by-step explanation:

There is one possible way:

  • (4x² - 47x + 141)/(x² + 13x + 40) =
  • (4x² + 4*13x + 4*40 - 47x - 52x - 160 + 141)/(x² + 13x + 40) =
  • 4  - (99x + 19)/(x² + 13x + 40)  

No further simplification

Answer:

  • basic polynomial division.
  • put 4 in quotient,subtract with the dividend the multiplicative integer, then what in the remainder. stays a remainder.
  • partial fraction is the sum of polynomial, decomposition, with a simple denominator.
  • answer:  [tex]4+\frac{-99x-19}{x^2+13x+40}[/tex]
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