Find the Requested Polynomial $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } + x - 2$

question 66

Multiple Choice

Find the requested polynomial.
-Find a polynomial function of degree 3 with 2, i, -i as zeros.

• A) \(f ( x ) = x ^ { 3 } - 2 x ^ { 2 } + x - 2\)
• B) \(f ( x ) = x ^ { 3 } - 2 i x ^ { 2 } + x - 2 i\)
• C) \(f ( x ) = x ^ { 3 } - 2 x ^ { 2 } + i x - 2 i\)
• D) \(f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - x + 2\)

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Definitions:

Horney

Karen Horney, a psychoanalytic theorist known for her theory of neurotic needs and her work on neurotic personality development.

Reaction Formation

A defense mechanism where an individual behaves in a manner opposite to their actual feelings or desires, often to hide their true impulses.

Neurotic Competitiveness

An indiscriminate need to win at all costs.

Hyper-Competitive

An intense and excessive desire to win and be more successful than others in every situation.