Find the Partial Fraction Decomposition Of $\frac { x ^ { 4 } - 4 x ^ { 3 } - 13 x ^ { 2 } + 49 x - 9 } { x ^ { 3 } - 4 x ^ { 2 } - 9 x + 36 }$

question 107

Essay

Find the partial fraction decomposition of $\frac { x ^ { 4 } - 4 x ^ { 3 } - 13 x ^ { 2 } + 49 x - 9 } { x ^ { 3 } - 4 x ^ { 2 } - 9 x + 36 }$ .

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Definitions:

Geography

The study of places and the relationships between people and their environments, focusing on the physical properties of the Earth's surface and the human societies spread across it.

Nautical Dominance

Superiority or control over sea routes and maritime activities, often achieved through a country's powerful navy or a significant merchant marine force.

New England

A region in the northeastern United States, known for its colonial history, distinct seasons, and as the birthplace of America's industrial revolution.

John Peter Zenger

A New York printer and journalist whose 1735 acquittal in a libel case established important precedents for freedom of the press in the American colonies.