Find All Rational Zeros and Factor F(x) $$f ( x ) = 12 x ^ { 3 } + 73 x ^ { 2 } + 5 x - 6$$

question 209

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = 12 x ^ { 3 } + 73 x ^ { 2 } + 5 x - 6$$

• A) \(- \frac { 1 } { 3 } , \frac { 1 } { 4 } , - 6 ; f ( x ) = ( 3 x + 1 ) ( 4 x - 1 ) ( x + 6 )\)
• B) \(- 3,4 , - 6 ; f ( x ) = ( 3 x + 1 ) ( 4 x - 1 ) ( x + 6 )\)
• C) \(- \frac { 1 } { 12 } , 1 , - 6 ; f ( x ) = ( 12 x + 1 ) ( x - 1 ) ( x + 6 )\)
• D) \(- 3,4 , - 6 ; f ( x ) = ( x + 3 ) ( x - 4 ) ( x + 6 )\)

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Definitions:

NADH

Nicotinamide adenine dinucleotide (NADH) is a coenzyme found in all living cells, involved in redox reactions, carrying electrons from one reaction to another.

Ethanol

A volatile, flammable, colorless liquid alcohol widely used as a biofuel, in alcoholic beverages, and as a solvent in the pharmaceutical industry.

Lactate Fermentation

An anaerobic metabolic pathway in which glucose is converted into cellular energy and lactate.

Intense Exercise

Physical activity that requires a high level of effort, significantly raising the heart rate and promoting cardiovascular, muscular, and endurance improvements.