Find the Partial Fraction Decomposition for the Rational Expression $\frac { 3 x - 20 } { ( x - 4 ) ^ { 2 } }$

question 69

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 3 x - 20 } { ( x - 4 ) ^ { 2 } }$

• A) \(\frac { 8 } { x - 4 } + \frac { - 3 } { ( x - 4 ) ^ { 2 } }\)
• B) \(\frac { 3 } { x - 4 } + \frac { 8 } { ( x - 4 ) ^ { 2 } }\)
• C) \(\frac { 3 } { x - 4 } + \frac { - 8 } { ( x - 4 ) ^ { 2 } }\)
• D) \(\frac { 6 } { x - 4 } + \frac { 16 } { ( x - 4 ) ^ { 2 } }\)

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Definitions:

Linearly Related

Refers to a correlation between two variables in which a variation in one is linked to a corresponding change in the other.

Interaction Term

In statistical models, a variable created by multiplying two or more variables together to investigate if the effect of one variable on the dependent variable is different at different levels of the other variable.

Coefficient

A numerical constant placed at the beginning and serving as a multiplier to a variable in an algebraic formula.

Nominal Variables

Variables that represent categories without any inherent order or ranking among them.