Find a Polynomial $P$ Of Degree $5$ , with Integer Coefficients That Has Zeros Of

question 54

Essay

Find a polynomial $P$ of degree $5$ , with integer coefficients that has zeros of $- \frac { 1 } { 2 }$ , $2$ , $i$ , with $2$ being a zero of multiplicity $2$ .

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Definitions:

American Expansionism

A policy and ideology that advocates for the territorial or economic expansion of the United States across North America and beyond, historically through methods such as colonization, annexation, and war.

Overseas Trade

The exchange of goods, services, and capital between countries across international borders or territories.

U.S.S. Maine

Battleship that exploded in Havana Harbor on February 15, 1898, resulting in 266 deaths; the American public, assuming that the Spanish had mined the ship, clamored for war, and the Spanish-American War was declared two months later.

Havana

The capital city, major port, and leading commercial center of Cuba, known for its historical buildings, vibrant culture, and significant role in the Caribbean region.