Use Synthetic Division to Perform the Division $$\frac { 3 x ^ { 4 } - 2 x ^ { 3 } - 10 x ^ { 2 } + 15 } { x - 2 }$$

question 262

Multiple Choice

Use synthetic division to perform the division.
- $$\frac { 3 x ^ { 4 } - 2 x ^ { 3 } - 10 x ^ { 2 } + 15 } { x - 2 }$$

• A) \(3 x ^ { 3 } + 4 x ^ { 2 } - 2 x + 4 + \frac { - 8 } { x - 2 }\)
• B) \(3 x ^ { 3 } + 4 x ^ { 2 } - 2 x - 4 + \frac { - 11 } { x - 2 }\)
• C) \(3 x ^ { 3 } + 4 x ^ { 2 } - x - 3 + \frac { 1 } { x - 2 }\)
• D) \(3 x ^ { 3 } + 4 x ^ { 2 } - 2 x - 4 + \frac { 7 } { x - 2 }\)

---

Definitions:

Raymond Cattell

A psychologist who made significant contributions to the understanding of personality and intelligence through factor analysis.

Personality Traits

Enduring characteristics or behaviors that define an individual's patterns of thinking, feeling, and behaving across various situations.

Humans

Homo sapiens, the species of bipedal primates to which all modern human beings belong, characterized by complex language, social structures, and the ability to use tools.

Five-factor Model

A model proposing that five broad dimensions underlie all human personality traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism.