Use the Rational Zero Theorem to List All Possible Rational $$f ( x ) = - 4 x ^ { 4 } + 3 x ^ { 2 } - 2 x + 6$$

question 250

Multiple Choice

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
- $$f ( x ) = - 4 x ^ { 4 } + 3 x ^ { 2 } - 2 x + 6$$

• A) \(\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm \frac { 3 } { 4 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 6\)
• B) \(\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 2 } , \pm \frac { 1 } { 3 } , \pm \frac { 2 } { 3 } , \pm \frac { 4 } { 3 } , \pm 1 , \pm 2 , \pm 4\)
• C) \(\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm \frac { 3 } { 4 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 4 , \pm 6\)
• D) \(\pm \frac { 1 } { 4 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm \frac { 3 } { 4 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 6\)

---

Definitions:

Moral Development

The process by which individuals learn and apply concepts of right and wrong, influencing their behavior and attitudes.

Relativist Perspective

A philosophical standpoint that asserts moral values and ethics vary between cultures, societies, or individuals and are not absolute.

Teleology

The doctrine that final causes, or purpose, exist in nature, and everything has a purpose or goal that influences its form and function.

Deontology

A moral philosophy that emphasizes the inherent rightness or wrongness of actions, independent of their consequences.