Find a Polynomial of Degree $4$ , with Integer Coefficients That Has Zeros Of

question 109

Essay

Find a polynomial of degree $4$ , with integer coefficients that has zeros of $3 i$
and $2$ , with $2$ a double zero. (There are many possibilities.)

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Definitions:

Emissions Tax

An emissions tax is designed to reduce environmental harm by charging a fee for the emission of pollutants, incentivizing businesses and individuals to decrease their environmental impact.

Socially Optimal

A condition or outcome that maximizes the well-being of society as a whole, often considered in economic policies or strategies.

Marginal Social Cost

The total cost to society of producing one additional unit of a good or service, including both private costs and externalities.

Marginal Social Benefit

The additional benefit that society gains from consuming an additional unit of a good or service.