Write the Form of the Partial Fraction Decomposition of the Rational

question 253

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants. $\frac { x ^ { 2 } - 9 x + 20 } { 7 x ^ { 3 } + 19 x ^ { 2 } }$

• A) \(\frac { A } { x } + \frac { B } { 7 x ^ { 3 } + 19 x ^ { 2 } }\)
• B) \(\frac { A } { x } + \frac { B } { 7 x ^ { 2 } + 19 }\)
• C) \(\frac { A } { x } + \frac { B } { x ^ { 2 } - 9 x + 20 } + \frac { C } { 7 x ^ { 2 } + 19 }\)
• D) \(\frac { A } { 9 x ^ { 3 } } - \frac { B } { 19 x ^ { 2 } } - \frac { C } { 7 x + 19 }\)
• E) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C } { 7 x + 19 }\)

---

Definitions:

Examining Witnesses

The process of questioning witnesses in court by both defense and prosecution to establish the facts of the case.

Juvenile Justice System

A legal framework designed to handle minors who have been accused of committing a crime, focusing more on rehabilitation than punishment.

Adult System

The segment of the justice or social service system that deals with individuals who are legally recognized as adults.

Discrimination

The unfair or prejudicial treatment of individuals based on characteristics such as race, gender, or age.