If X = $\frac { 2 } { 7 }$ Is a Root Of

question 1

Multiple Choice

If x = $\frac { 2 } { 7 }$ is a root of $49 x ^ { 3 } - 126 x ^ { 2 } + 60 x - 8 = 0$ ,use synthetic division to factor the polynomial completely and list all real solutions of the equation.

• A)​ \(( 7 x + 2 ) ^ { 2 } ( x - 2 )\) ;x = \(- \frac { 2 } { 7 }\) ,2
• B) \(( 7 x - 2 ) ( x - 2 ) ^ { 2 }\) ;x = \(\frac { 2 } { 7 }\) ,2
• C) \(( 7 x + 2 ) ( x - 2 ) ^ { 2 }\) ;x = \(- \frac { 2 } { 7 }\) ,2
• D) \(( 7 x - 2 ) ^ { 2 } ( x - 2 )\) ;x = \(\frac { 2 } { 7 }\) ,2
• E) \(( 7 x - 2 ) ( 7 x + 2 ) ( x - 2 )\) ;x = \(\frac { 2 } { 7 }\) , \(- \frac { 2 } { 7 }\) ,2

---

Definitions:

Quantitative Sociology

A research method in sociology that focuses on numerical and statistical techniques to study patterns, behaviors, and trends within social groups.

Qualitative Sociology

The study of social phenomena focused on understanding human behavior from the perspective of those being studied, typically using methods like interviews or observation.

Globalization

The process by which businesses or other organizations develop international influence or start operating on an international scale, resulting in increased interconnectedness of the world's economies, cultures, and populations.

Theological Stage

The earliest stage in Comte's law of three stages, characterized by human understanding of the world as explained by supernatural beings and religious leaders.