Write the Partial Fraction Decomposition of the Rational Expression $$\frac { x ^ { 2 } - 111 } { x ^ { 4 } - x ^ { 2 } - 72 }$$

question 11

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { x ^ { 2 } - 111 } { x ^ { 4 } - x ^ { 2 } - 72 }$$

• A) \(\frac { 1 } { x + 3 } + \frac { 1 } { x - 3 } - \frac { 7 } { x ^ { 2 } + 8 }\)
• B) \(\frac { 1 } { x + 3 } - \frac { 1 } { x - 3 } + \frac { 7 } { x ^ { 2 } + 8 }\)
• C) \(\frac { 1 } { x + 3 } - \frac { 1 } { x - 3 } - \frac { 7 } { x ^ { 2 } + 8 }\)
• D) \(\frac { 1 } { x + 3 } + \frac { 1 } { x - 3 } + \frac { 7 } { x ^ { 2 } + 8 }\)

Comprehend the geological features and processes on Mars, including canyon systems, channels, and terrain formation.

Identify the processes behind comet behavior and the characteristics of comets.

Recognize the significance of planetary geology and the methods used for exploring Mars.

Understand the classification and characteristics of dwarf planets, including Pluto.

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Definitions:

Theory

A system of ideas intended to explain something, based on general principles independent of the thing to be explained, used as a basis for further study or investigation.

Meso Compound

A type of stereochemical configuration in compounds with multiple chiral centers that has an internal plane of symmetry, making it achiral despite having stereocenters.

Molecule

The smallest particle of a chemical substance that can exist independently while retaining the composition and chemical properties of the substance.

Optically Active

A characteristic of a compound that has the ability to rotate the plane of polarized light, indicating chirality.