Write the Form of the Partial Fraction Decomposition of the Rational

question 157

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 7 x - 5 } { x ^ { 2 } + 9 x + 18 }$$

• A) \(\frac { A } { x + 6 } + \frac { B } { x + 3 } + \frac { C x + D } { x ^ { 2 } + 9 x + 18 }\)
• B) \(\frac { A } { x + 6 } + \frac { B } { x + 3 } + \frac { C } { x ^ { 2 } + 9 x + 18 }\)
• C) \(\frac { A } { x + 6 } + \frac { B } { x + 3 }\)
• D) \(\frac { A } { x + 6 } + \frac { B } { x + 3 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 3 ) ^ { 2 } }\)

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Definitions:

Linear Regression

A statistical method for modeling the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Interpolation

To predict corresponding variables within the domain.

Extrapolation

To predict corresponding variables outside of the domain.

Regression Line

In statistics, a line that best fits a set of data points, reflecting the relationship between an independent variable and a dependent variable.