Find All Rational, Irrational, and Complex Zeros (And State Their $P ( x ) = x ^ { 4 } + 10 x ^ { 2 } - 2 x ^ { 3 } - 18 x + 9$

question 26

Essay

Find all rational, irrational, and complex zeros (and state their multiplicities). $P ( x ) = x ^ { 4 } + 10 x ^ { 2 } - 2 x ^ { 3 } - 18 x + 9$

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Definitions:

Iso-profit Line

A graphical representation in microeconomics that shows all possible combinations of two goods that yield the same profit level for a firm.

Profit Maximizing

The process or strategy of adjusting prices, output, or operations to achieve the highest possible profit under given conditions and constraints.

Parallel Lines

Lines in a plane that never meet, no matter how far they are extended, characterized by having the same slope.

Maximization Problem

A type of optimization problem that seeks to find the maximum value of a function subject to certain constraints.