Form a Polynomial F(x) with Real Coefficients Having the Given $- 3$

question 139

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 3 ; zeros: $- 3$ and $3 - 2 \mathrm { i }$

• A) \(f ( x ) = x ^ { 3 } - x ^ { 2 } + 11 x + 39\)
• B) \(f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 5 x - 52\)
• C) \(f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 5 x + 39\)
• D) \(f ( x ) = x ^ { 3 } - x ^ { 2 } - 5 x + 39\)

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Definitions:

Collective Security

A system in which a group of nations agree to act together to defend any member country that is attacked, aiming to maintain international peace and security.

Irreconcilables

A group of U.S. senators who opposed the Treaty of Versailles and U.S. membership in the League of Nations after World War I, fearing it would limit national sovereignty.

Treaty of Versailles

The 1919 peace treaty that ended World War I, imposing punitive conditions on Germany and redrawing the map of Europe, significantly impacting future international relations.