Find All Zeros of the Function $f ( x ) = x ^ { 2 } ( x - 2 ) \left( x ^ { 3 } - 216 \right)$

question 75

Multiple Choice

Find all zeros of the function $f ( x ) = x ^ { 2 } ( x - 2 ) \left( x ^ { 3 } - 216 \right)$ .

• A) \(x = 2,216\)
• B) \(x = 0 , - 2 , - 6\)
• C) \(\quad x = 0,2,6 , - 3 - 3 \sqrt { 3 } i , - 3 + 3 \sqrt { 3 } i\)
• D) \(x = - 2 , - 216\)
• E) \(\quad x = 0,2,6\)

---

Definitions:

MARS Model

A framework identifying four factors—motivation, ability, role perceptions, and situational factors—that collectively affect individual performance.

Locus of Control

A psychological concept that refers to how strongly people believe they have control over the situations and experiences that affect their lives.

Big Five

A model outlining five broad dimensions of personality traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Personality Dimensions

Refers to the broad categories used to describe and quantify individual differences in personality traits.