Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = 2 x ^ { 4 } + 17 x ^ { 3 } + 58 x ^ { 2 } + 77 x + 26$$

question 24

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = 2 x ^ { 4 } + 17 x ^ { 3 } + 58 x ^ { 2 } + 77 x + 26$$

• A) \(\left\{ - 2 , - \frac { 1 } { 2 } , - 3 + 2 i , - 3 - 2 i \right\}\)
• B) \(\left\{ 2 , + \frac { 1 } { 2 } , - 2 + 3 i , - 2 - 3 i \right\}\)
• C) \(\left\{ - 2 , + \frac { 1 } { 2 } , - 2 + 3 i , - 2 - 3 i \right\}\)
• D) \(\left\{ 2 , - \frac { 1 } { 2 } , - 3 + 2 i , - 3 - 2 i \right\}\)

---

Definitions:

LMX Theory

A leadership model focusing on the dyadic relationships between leaders and followers, emphasizing the importance of high-quality exchanges for leadership effectiveness.

Leader And Follower

A dynamic in groups or organizations where one person guides or influences others towards achieving a goal, while the followers support the leader in this pursuit.

Exchanges

Platforms or environments where goods, services, or assets are traded between parties.

Leader-Member Exchange Theory

A concept in leadership research that focuses on the relationship between leaders and their followers, impacting various workplace outcomes.