Write the Partial Fraction Decomposition of the Rational Expression $$\frac { x } { x ^ { 2 } + 11 x + 30 }$$

question 63

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { x } { x ^ { 2 } + 11 x + 30 }$$

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

---

Definitions:

Hierarchy of Needs

A theory in psychology proposed by Abraham Maslow that outlines a five-tier model of human needs, from basic physiological needs to self-actualization.

Beck's Theory

A cognitive theory of depression that suggests that negative thinking patterns and beliefs cause and maintain depression.

Negative Automatic Thoughts

Repetitive, brief, spontaneous thoughts often associated with changes in mood and behavior, usually negative and pessimistic in nature.

Personal Loss

An experience characterized by the absence or removal of something valuable in one's life, such as a loved one, job, or possession.