Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 4 x ^ { 2 } - 3 x + 2 } { \left( x ^ { 2 } - 4 \right) ( x - 1 ) }$$

question 113

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 4 x ^ { 2 } - 3 x + 2 } { \left( x ^ { 2 } - 4 \right) ( x - 1 ) }$$

• A) \(\frac { 3 } { x - 2 } + \frac { 2 } { x + 2 } + \frac { - 1 } { x - 1 }\)
• B) \(\frac { 5 } { x - 2 } + \frac { 3 } { x + 2 } + \frac { - 2 } { x - 1 }\)
• C) \(\frac { 5 } { x ^ { 2 } - 4 } + \frac { - 1 } { x - 1 }\)
• D) \(\frac { 2 } { x - 2 } + \frac { 3 } { x + 2 } + \frac { 1 } { x - 1 }\)

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Definitions:

Cell Plate

Of plants, disk-shaped structure that forms and partitions descendant cells during cytokinesis.

Cytokinesis

The process during cell division in which the cytoplasm divides, resulting in two daughter cells.

Telophase

Stage of mitosis during which chromosomes arrive at opposite spindle poles, decondense, and become enclosed by a new nuclear envelope.

Eukaryotic Cell Cycle

The series of events that take place in a eukaryotic cell, leading to its division and duplication of its DNA, to generate two daughter cells.