Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 5 x ^ { 2 } + 7 x + 4 } { x ^ { 3 } + 3 x ^ { 2 } + 5 x + 15 }$$

question 95

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 5 x ^ { 2 } + 7 x + 4 } { x ^ { 3 } + 3 x ^ { 2 } + 5 x + 15 }$$

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

---

Definitions:

Proof of the Report

Evidence or verification that a report is accurate or genuine.

Protected Forest

A protected forest is an area of woodlands legally safeguarded to preserve biodiversity, natural resources, and environmental values.

Informative Report

A report that provides information.

Encroached Land

Land that is illegally occupied or used by someone else without the owner's permission.