Find the Quotient and Remainder Of $\frac { 5 x ^ { 5 } + 6 x ^ { 3 } - 6 x ^ { 2 } - x ^ { 4 } + 2 x + 6 } { x ^ { 3 } + x - 1 }$

question 53

Essay

Find the quotient and remainder of $\frac { 5 x ^ { 5 } + 6 x ^ { 3 } - 6 x ^ { 2 } - x ^ { 4 } + 2 x + 6 } { x ^ { 3 } + x - 1 }$ using long division.

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Definitions:

Indian Reaction

The response or backlash from Indian communities or the nation of India to specific events, policies, or interventions.

Bourbon Reforms

A series of 18th-century administrative and economic measures implemented by the Spanish Crown to improve the efficiency and profitability of its colonies.

Colonial Revenues

Financial income or resources generated for a colonial power through the administration and exploitation of its colonies, often involving trade, taxation, and natural resources.

Spanish Colonies

Territories in the Americas, Africa, Asia, and Oceania that were once part of the Spanish Empire, where Spain established its culture, religion, and governance.