Question

Express in partial fraction


`\frac{ {4x}^(2 - ) 47x + 141}{x {}^(2) + 13x + 40}`
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Answer 1

• 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:
  `4+(-99x-19)/(x^2+13x+40)`

Answer 2

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