Write the Partial Fraction Decomposition of the Rational Expression $\frac { 1 } { 4 x ^ { 2 } + x }$

question 25

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ $\frac { 1 } { 4 x ^ { 2 } + x }$ ​

• A) \(\frac { 1 } { x } + \frac { 4 } { 4 x + 1 }\)
• B) \(\frac { A } { x } - \frac { 4 B } { 4 x + 1 }\)
• C) \[\frac { A } { x } + \frac { 4 B } { 4 x + 1 }\]
• D) \(\frac { 1 } { x } + \frac { 4 } { 4 x + 1 }\)
• E) \(\frac { 1 } { x } - \frac { 4 } { 4 x + 1 }\)

---

Definitions:

Stimulants

Drugs (such as caffeine, nicotine, and the more powerful cocaine, amphetamines, methamphetamine, and Ecstasy) that excite neural activity and speed up body functions.

Self-Awareness

Being aware of one's own self, including thoughts, emotions, intentions, and cravings.

Alcohol

A psychoactive substance commonly found in beverages like beer, wine, and spirits, known for its intoxicating effects.

Placebo Beverage

A drink given to participants in an experiment, which they believe contains active ingredients, but does not, used to measure psychological and physiological effects.