Perform the Operations and Simplify the Result When Possible $\frac { 5 } { x ^ { 2 } - 3 x - 4 } - \frac { x } { 3 x ^ { 2 } - 10 x - 8 }$

question 121

Multiple Choice

Perform the operations and simplify the result when possible. $\frac { 5 } { x ^ { 2 } - 3 x - 4 } - \frac { x } { 3 x ^ { 2 } - 10 x - 8 }$

• A) \(\frac { - x ^ { 2 } + 14 x + 10 } { ( x - 4 ) ( x + 1 ) ( 3 x + 2 ) }\)
• B) \(\frac { x ^ { 2 } + 14 x + 10 } { ( x - 3 ) ( x + 1 ) ( 3 x + 2 ) }\)
• C) \(\frac { - x ^ { 2 } + 14 x + 10 } { ( x - 4 ) ( x + 1 ) \left( 3 x ^ { 2 } - 7 x - 6 \right) }\)
• D) \(\frac { - x ^ { 2 } + 14 x + 10 } { ( x + 1 ) ( 3 x + 2 ) }\)
• E) \(\frac { - x ^ { 2 } + 10 x + 10 } { ( x - 4 ) ( x + 1 ) ( 3 x + 2 ) }\)

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Definitions:

Irresistible Impulse Test

A legal test for insanity that assesses if a defendant was unable to control his or her actions due to a mental illness.

Civil Commitments

A legal process through which an individual with severe mental illness can be court-ordered to receive treatment in a hospital or community-based setting.

Involuntarily

Occurring without one's consent or control.

Dangerousness

The potential to cause harm, injury, or damage to others or oneself.