Find the Partial Fraction Decomposition $$\frac { - 13 x - 8 } { ( x + 4 ) ( 5 x - 2 ) }$$

question 174

Multiple Choice

Find the partial fraction decomposition.
- $$\frac { - 13 x - 8 } { ( x + 4 ) ( 5 x - 2 ) }$$

• A) \(\frac { - 8 } { x + 4 } + \frac { - 13 x } { 5 x - 2 }\)
• B) \(\frac { - 2 } { x + 4 } + \frac { - 3 } { 5 x - 2 }\)
• C) \(\frac { - 13 x } { x + 4 } + \frac { - 8 } { 5 x - 2 }\)
• D) \(\frac { - 3 } { x + 4 } + \frac { - 2 } { 5 x - 2 }\)

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Definitions:

Systematic Biology

A branch of biology that focuses on classifying organisms and determining their evolutionary relationships.

Evolutionary Relationships

The connections among species or groups of organisms based on their common ancestry, typically illustrated through phylogenetic trees.

Lamarck

Refers to Jean-Baptiste Lamarck, an early 19th-century scientist known for his theory of inheritance of acquired characteristics.

Evolution

The process by which different kinds of living organisms are thought to have developed and diversified from earlier forms during the history of the earth.