Simplify the Rational Expression $\frac { 2 x ^ { 2 } + 4 x } { x ^ { 3 } + 8 }$

question 193

Multiple Choice

Simplify the rational expression. $\frac { 2 x ^ { 2 } + 4 x } { x ^ { 3 } + 8 }$

• A) \(\frac { 2 x } { x ^ { 2 } - 4 x + 4 }\)
• B) \(\frac { 2 } { x + 2 }\)
• C) \(\frac { 2 } { x ^ { 2 } + 4 x + 4 }\)
• D) \(\frac { 2 x } { x ^ { 2 } - 2 x + 4 }\)

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Definitions:

Reflective Judgment

The process of critically evaluating evidence and arguments to make a reasoned judgment that is well-supported and accounts for uncertainty.

Social Interaction

The process by which people act and react in relation to others, influencing each other's behaviors and thoughts.

Universal

Affecting or applicable to all people or things in the world or in a particular group.

Reflective Judgment

The cognitive process of critically evaluating the validity of various opinions in the face of uncertainty, leading to well-reasoned conclusions.