Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 14 x + 1 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

question 110

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 14 x + 1 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

• A) \(\frac { - 5 } { x - 1 } + \frac { 5 x + 4 } { x ^ { 2 } + x + 1 }\)
• B) \(\frac { 5 } { x - 1 } + \frac { - 5 } { x + 1 } + \frac { 4 } { x - 1 }\)
• C) \(\frac { 5 } { x - 1 } + \frac { 4 x - 5 } { x ^ { 2 } + x + 1 }\)
• D) \(\frac { 5 } { x - 1 } + \frac { - 5 x + 4 } { x ^ { 2 } + x + 1 }\)

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Definitions:

Gene Flow

The transfer of genetic variation from one population to another, which can increase genetic diversity in the recipient population.

Genetic Drift

A mechanism of evolution that involves random fluctuations in the frequency of alleles within a population across generations.

Genetic Mutations

Changes in the DNA sequence of an organism's genome, which can lead to variations within species.

Wild Cabbage

The ancestral form of cabbage (Brassica oleracea), a leafy green, red, or white biennial plant, grown as an agricultural crop for its dense-leaved heads.