Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 5 x - 26$$

question 269

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 5 x - 26$$

• A) \(\{ 2 , - 2 + 3 i , - 2 - 3 i \}\)
• B) \(\{ 2,3 + 2 i , 3 - 2 i \}\)
• C) \(\{ - 2 , - 2 + \sqrt { 5 } , - 4 - \sqrt { 5 } \}\)
• D) \(\{ 2,3 + \sqrt { 5 } , 3 - \sqrt { 5 } \}\)

---

Definitions:

Delegates

Individuals chosen to represent others, typically in a conference or a convention; in politics, they often have the authority to vote on behalf of the group they represent.

Upper Class

A social group at the top of a societal hierarchy, often possessing significant wealth, power, and influence.

Tyranny

Oppressive rule exercised by a government or ruler with absolute power, often characterized by a lack of regard for the welfare of the governed.

Separation of Powers

A governance principle that divides the responsibilities and powers of government among distinct branches to prevent abuse of power.