Find All the Rational Zeros of the Function $f ( x ) = 2 x ^ { 5 } + x ^ { 4 } - 11 x ^ { 3 } + 7 x ^ { 2 } - 13 x + 6$

question 103

Multiple Choice

Find all the rational zeros of the function $f ( x ) = 2 x ^ { 5 } + x ^ { 4 } - 11 x ^ { 3 } + 7 x ^ { 2 } - 13 x + 6$ .

• A) \(x = - \frac { 1 } { 2 } , - 3 , - 1\)
• B) \(x = \frac { 2 } { 3 } , 1,2\)
• C) \(x = \frac { 1 } { 2 } , - \frac { 3 } { 2 } , 2\)
• D) \(x = \frac { 1 } { 2 } , - \frac { 3 } { 2 }\)
• E) \(x = \frac { 1 } { 2 } , - 3,2\)

---

Definitions:

Endorphins

Natural pain-relieving peptides produced by the brain that also enhance feelings of pleasure.

Parasympathetic Nervous System

Part of the autonomic nervous system responsible for conserving energy and slowing the heart rate, facilitating a state of calm and relaxation.

Somatic Nervous System

The part of the peripheral nervous system that controls voluntary movements of the body and transmits sensory information.

Racing Heartbeat

A rapid increase in heart rate, often due to excitement, stress, or physical exertion.