Write the Partial Fraction Decomposition of the Rational Function $\frac { x - 16 } { x ( x - 4 ) }$

question 28

Multiple Choice

Write the partial fraction decomposition of the rational function. $\frac { x - 16 } { x ( x - 4 ) }$

• A) \(- \frac { 4 } { x } - \frac { 3 } { x - 4 }\)
• B) \(\frac { 4 } { x } - \frac { 3 } { x - 4 }\)
• C) \(- \frac { 4 } { x } - \frac { 3 } { x + 4 }\)
• D) \(\frac { 4 } { x } + \frac { 3 } { x - 4 }\)
• E) \(\frac { 4 } { x } + \frac { 3 } { x + 4 }\)

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Definitions:

Chromosome

A thread-like structure of nucleic acids and protein found in the nucleus of most living cells, carrying genetic information in the form of genes.

Chromosomes

Chromosomes are long, thread-like structures made of DNA and proteins that carry genetic information in the cells.

Nucleus

A membrane-bound organelle found in eukaryotic cells that contains the cell's chromosomes, thereby functioning as the cell's command center.

Rod-Shaped Structures

Cellular components or organisms that are elongated and cylindrical, often found in the context of bacteria or the photoreceptor cells in the eye.