Determine All Possible Rational Solutions of the Polynomial Equation $$f ( x ) = 2 x ^ { 3 } + 8 x ^ { 2 } + 12 x - 8$$

question 94

Multiple Choice

Determine all possible rational solutions of the polynomial equation.
- $$f ( x ) = 2 x ^ { 3 } + 8 x ^ { 2 } + 12 x - 8$$

• A) \(\pm 1 , \pm 2 , \pm 4 , \pm 8\)
• B) \(\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 4 , \pm 8\)
• C) \(\pm 1 , \pm 2 , \pm 4\)
• D) \(\pm 1 , \pm \frac { 1 } { 2 } , \pm \frac { 1 } { 4 } , \pm \frac { 1 } { 8 } , \pm 2\)

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Definitions:

Voyeurism

A disorder characterized by achieving sexual pleasure from watching others when they are naked or engaged in sexual activity, without their consent.

Paraphilia

Patterns of sexual attraction to unusual or socially unacceptable objects, situations, or individuals.

Atypical Antipsychotic Medication

A class of drugs used to treat psychiatric conditions, noted for causing fewer extrapyramidal side effects than traditional antipsychotics.

Exhibitionism

A psychiatric disorder characterized by a compulsion to expose one's genitals to an unsuspecting stranger for sexual gratification.