Find the Partial Fraction Decomposition for the Rational Expression $\frac { 31 x - 80 } { 6 x ^ { 2 } - 31 x + 40 }$

question 425

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 31 x - 80 } { 6 x ^ { 2 } - 31 x + 40 }$

• A) \(\frac { 5 } { 2 x + 5 } + \frac { 8 } { 3 x + 8 }\)
• B) \(\frac { 5 } { 2 x - 5 } + \frac { 8 } { 3 x - 8 }\)
• C) \(\frac { 8 } { 3 x - 8 } + \frac { - 5 } { 2 x - 5 }\)
• D) \(\frac { 5 } { 2 x - 5 } + \frac { - 8 } { 3 x - 8 }\)

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Definitions:

Consecutive Positive Integers

A sequence of integers where each number is one more than the previous number.

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