Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 13 x - 34 } { x ^ { 2 } - 6 x + 8 }$$

question 352

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 13 x - 34 } { x ^ { 2 } - 6 x + 8 }$$

• A) \(\frac { 1 } { x - 4 } + \frac { 1 } { x - 2 }\)
• B) \(\frac { 9 } { x - 4 } + \frac { 4 } { x - 2 }\)
• C) \(\frac { 9 } { x + 4 } + \frac { 4 } { x + 2 }\)
• D) \(\frac { 4 } { x - 4 } + \frac { 9 } { x - 2 }\)

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Definitions:

Organic Compound

Chemical compounds that contain carbon and hydrogen, often containing other elements like nitrogen, oxygen, sulfur, and phosphorus, essential to life.

Reaction Structure

The graphical representation of the molecular arrangement and bonds between atoms before and after a chemical reaction.

Organic Product

A compound primarily made of carbon atoms obtained as a result of an organic reaction.

Reaction Structure

The arrangement and connectivity of atoms within the products and reactants of a chemical reaction.