Find All Rational Zeros of the Polynomial $p ( x ) = x ^ { 6 } + 2 x ^ { 5 } - 7 x ^ { 4 } - 20 x ^ { 3 } - 12 x ^ { 2 }$

question 122

Essay

Find all rational zeros of the polynomial $p ( x ) = x ^ { 6 } + 2 x ^ { 5 } - 7 x ^ { 4 } - 20 x ^ { 3 } - 12 x ^ { 2 }$ .

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Definitions:

Preindustrial Stage

A period or phase in development before the widespread industrialization, characterized by agrarian economies and limited technology.

Transitional Stage

A phase in a process of change in which something transitions from one state or condition to another, often marked by a period of adjustment or development.

Industrial Stage

A phase of societal development marked by the widespread growth of industries, technological advancements, and changes in economic and social structures.

Demographic Transition Model

A theory describing the transition from high birth and death rates to lower birth and death rates as a country or region develops from a pre-industrial to an industrialized economic system.