Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 532 x ^ { 2 } + 342 x } { \left( x ^ { 2 } + 2 \right) ( x + 6 ) }$$

question 325

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 532 x ^ { 2 } + 342 x } { \left( x ^ { 2 } + 2 \right) ( x + 6 ) }$$

• A) \(\frac { 82 x - 150 } { x ^ { 2 } + 2 } + \frac { - 450 } { x + 6 }\)
• B) \(\frac { 82 x - 150 } { x ^ { 2 } + 2 } + \frac { 450 } { x + 6 }\)
• C) \(\frac { 82 x } { x + 6 } + \frac { 300 } { x ^ { 2 } + 2 }\)
• D) \(\frac { 82 x + 450 } { x ^ { 2 } + 2 } + \frac { - 150 } { x + 6 }\)

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Definitions:

Procambium

A primary meristematic tissue in plants, which differentiates into vascular tissues (xylem and phloem).

Primary Xylem

The part of the xylem (the vascular tissue in plants that conducts water and dissolved nutrients upward from the root) that forms first, mainly in seedlings and young plants.

Secondary Xylem

The part of a plant that contributes to the growth of stem thickness and acts as a conduit for water and nutrients.

Maturation

The process of achieving a fully developed or final state, whether in biological, psychological, or social terms.