Find the Partial Fraction Decomposition for the Rational Expression $\frac { - 31 x - 113 } { 2 x ^ { 2 } + 20 x + 42 }$

question 430

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { - 31 x - 113 } { 2 x ^ { 2 } + 20 x + 42 }$

• A) \(\frac { - 5 } { 2 x - 6 } + \frac { - 13 } { x - 7 }\)
• B) \(\frac { 5 } { 2 x + 6 } + \frac { 13 } { x + 7 }\)
• C) \(\frac { - 5 } { x + 6 } + \frac { - 13 } { 2 x + 7 }\)
• D) \(\frac { - 5 } { 2 x + 6 } + \frac { - 13 } { x + 7 }\)

---

Definitions:

Sedentary

A lifestyle characterized by much sitting and little physical activity, often linked to negative health outcomes.

Obesity

A medical condition characterized by an excessive accumulation of body fat, often defined as a body mass index (BMI) of 30 or higher.

Hunger Trigger

A physical or psychological signal that prompts an individual to feel the need to eat.

Limb Coordination

The ability to use the arms and legs in a smooth, integrated manner to perform tasks or movements.