Write the Partial Fraction Decomposition of the Rational Expression $\frac { 16 x ^ { 2 } - 105 x + 90 } { x ( x - 6 ) ( x - 5 ) }$

question 163

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 16 x ^ { 2 } - 105 x + 90 } { x ( x - 6 ) ( x - 5 ) }$

• A) \(\frac { 3 } { x } + \frac { 7 } { x - 6 } + \frac { 6 } { x - 5 }\)
• B) \(\frac { 3 } { x } + \frac { 6 } { x - 6 } + \frac { 7 } { x - 5 }\)
• C) \(\frac { x + 6 } { x ^ { 2 } - 6 } + \frac { 7 } { x - 5 }\)
• D) \(\frac { 3 } { x } + \frac { 5 } { x - 6 } + \frac { 8 } { x - 5 }\)

---

Definitions:

Neural Transmission

The process by which nerve cells (neurons) communicate with each other through electrical and chemical signals.

Action Potential

A brief electrical charge that travels down a neuron, triggered when the neuron fires and essential for nerve impulse transmission.

Excitation Reaction

A physiological response that increases the activity or efficiency of a part of the body or brain.

Receptor Sites

Specific regions on the surface of a cell where molecules such as neurotransmitters can bind to initiate a cellular response.