Express in partial fraction

Mathematics

2 answers:

aksik [14]2 years ago

8 0

Step-by-step explanation:

<u>There is one possible way:</u>

(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

andrey2020 [161]2 years ago

8 0

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: $4+\frac{-99x-19}{x^2+13x+40}$

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