Write the Form of the Partial Fraction Decomposition of the Rational

question 46

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants.​ $$\frac { 5 x - 4 } { x ^ { 3 } + 5 x }$$ ​

• A) \(\frac { A } { 5 x - 4 } + \frac { B x + C } { x ^ { 3 } + 5 x }\)
• B) \(\frac { A } { x } - \frac { B x + C } { x ^ { 2 } + 5 } + \frac { D } { x ^ { 3 } + 5 }\)
• C) \(\frac { A } { x } + \frac { B x + C } { x ^ { 2 } + 5 }\)
• D) \(\frac { A } { x } + \frac { B x - C } { x ^ { 2 } + 5 } + \frac { D } { 5 x - 4 }\)
• E) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { B x + C } { x + 5 }\)

---

Definitions:

Vastus Lateralis

A muscle in the thigh that is part of the quadriceps group, responsible for extending the knee and stabilizing the leg.

Intramuscular Injection

A method of delivering medication deep into the muscles, allowing the drug to be absorbed into the bloodstream quickly.

Warm Compress

A therapeutic application of warmth to a body part to relieve pain, improve blood flow, or reduce inflammation.

Hepatitis B Immunoglobulin

A specific type of antibody given to provide temporary protection against hepatitis B or to prevent it after exposure to the virus.