Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 9 x ^ { 2 } - 14 x - 3 } { ( x - 4 ) \left( x ^ { 2 } + 1 \right) }$$

question 102

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 9 x ^ { 2 } - 14 x - 3 } { ( x - 4 ) \left( x ^ { 2 } + 1 \right) }$$

• A) \(\frac { 5 } { x - 4 } + \frac { 4 x + 2 } { x ^ { 2 } + 1 }\)
• B) \(\frac { 5 } { x - 4 } + \frac { 4 } { x ^ { 2 } + 1 }\)
• C) \(\frac { 5 } { x - 4 } + \frac { 4 x - 2 } { x ^ { 2 } + 1 }\)
• D) \(\frac { 5 } { x - 4 } + \frac { 4 } { x + 1 } + \frac { 2 } { ( x + 1 ) ^ { 2 } }\)

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Definitions:

Cerebrum

The largest structure of the human brain, consisting of the two cerebral hemispheres connected by the corpus callosum and covered by the cerebral cortex.

Midbrain

A central part of the brainstem involved in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.

Mesobrain

Another term for the midbrain, which is a portion of the brainstem involved in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.

Somatic Nervous System

Part of the peripheral nervous system that handles voluntary control of body movements through control of skeletal muscles.