Find All Zeros of the Polynomial $P ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 14 x + 12 = ( 2 x + 3 ) \left( x ^ { 2 } + 2 x + 4 \right)$

question 106

Essay

Find all zeros of the polynomial $P ( x ) = 2 x ^ { 3 } + 7 x ^ { 2 } + 14 x + 12 = ( 2 x + 3 ) \left( x ^ { 2 } + 2 x + 4 \right)$ .

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Definitions:

Economic Independence

The state of having sufficient personal wealth to live without the need to work for basic necessities, allowing for a self-sustaining lifestyle.

Treaty of Greenville

A 1795 agreement between the United States and Native American tribes in Ohio, marking the end of hostilities and opening up much of present-day Ohio to American settlement.

1795

A year notable for events such as the Treaty of Greenville, which ended the Northwest Indian War in the United States, and the establishment of the Batavian Republic in the Netherlands.

Indian Tribes

Indigenous peoples recognized in the United States with their own governments, customs, and territories.