Give All Possible Rational Zeros for the Following Polynomial $$\mathrm { P } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 3 } + 38 \mathrm { x } ^ { 2 } + 38 \mathrm { x } + 27$$

question 219

Multiple Choice

Give all possible rational zeros for the following polynomial.
- $$\mathrm { P } ( \mathrm { x } ) = 3 \mathrm { x } ^ { 3 } + 38 \mathrm { x } ^ { 2 } + 38 \mathrm { x } + 27$$

• A) \(\pm 1 , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 9 } , \pm \frac { 1 } { 27 } , \pm 3\)
• B) \(\pm 1 , \pm 3 , \pm 9 , \pm 27\)
• C) \(\pm 1 , \pm 3 , \pm 6 , \pm 9 , \pm 27\)
• D) \(\pm 1 , \pm \frac { 1 } { 3 } , \pm 3 , \pm 9 , \pm 27\)

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Definitions:

Maslow's Hierarchy

A theory in psychology proposed by Abraham Maslow that suggests human needs are arranged in a hierarchy from physiological needs to self-actualization.

Physiological Needs

Basic physical requirements essential for human survival, such as food, water, and shelter, as described in Maslow's hierarchy of needs.

Self-Actualization

The accomplishment of realizing one's full capabilities and potential, seen as an intrinsic aspiration or necessity among all humans.

Appraisal Theory

A theory in psychology that suggests emotions are derived from an individual's evaluation (appraisal) of a situation in terms of how it impacts their well-being.