Write the Partial Fraction Decomposition of the Rational Expression $\frac { 64 - 11 x } { x ^ { 3 } - 8 x ^ { 2 } + 16 x }$

question 16

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 64 - 11 x } { x ^ { 3 } - 8 x ^ { 2 } + 16 x }$

• A) \(\frac { 4 } { x } + \frac { - 4 } { x - 4 } + \frac { 5 } { ( x - 4 ) ^ { 2 } }\)
• B) \(\frac { 4 } { x } + \frac { 5 } { x - 4 } + \frac { - 4 } { ( x - 4 ) ^ { 2 } }\)
• C) \(\frac { 4 } { x } + \frac { - 4 } { x - 4 } + \frac { 10 } { ( x - 4 ) ^ { 2 } }\)
• D) \(\frac { - 4 } { x } + \frac { 4 } { x - 4 } + \frac { 5 } { ( x - 4 ) ^ { 2 } }\)

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Definitions:

Conjunction

A part of speech that connects words, phrases, or clauses within sentences.

Symbolize

To represent something abstract by a symbol or symbols.

X-rayed

The process of examining the internal structure of objects using X-rays.

Symbolize

To represent or stand for something else, especially through the use of symbols or symbolic actions.