A Polynomial F ( X ) with Real Coefficients and Leading

question 59

Multiple Choice

A polynomial f ( x ) with real coefficients and leading coefficient 1 has the given zero and degree. Express f ( x ) as a product of linear and quadratic polynomials with real coefficients that are irreducible over R.

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Definitions:

16th Century

The period from 1501 to 1600, marked by significant events such as the beginning of the Reformation and the exploration and colonization of the Americas.

Americas

The lands of the Western hemisphere, comprising North, Central, and South America.

Western Europe Politics

The political structures, systems, and dynamics characteristic of countries in Western Europe.

North and South America

Two continents that form the majority of the Western Hemisphere, known for their diverse cultures, histories, and significant geographic features like the Amazon River and the Rocky Mountains.