Form a Polynomial Whose Zeros and Degree Are Given $2 ; - 3$

question 353

Multiple Choice

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: 3, multiplicity $2 ; - 3$ , multiplicity 2 ; degree 4

• A) \(f ( x ) = x ^ { 4 } - 6 x ^ { 3 } + 18 x ^ { 2 } - 27 x + 81\)
• B) \(f ( x ) = x ^ { 4 } + 6 x ^ { 3 } - 18 x ^ { 2 } + 27 x - 81\)
• C) \(f ( x ) = x ^ { 4 } + 18 x ^ { 2 } + 81\)
• D) \(f ( x ) = x ^ { 4 } - 18 x ^ { 2 } + 81\)

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Definitions:

William James

A pioneering American psychologist and philosopher recognized for his contributions to pragmatism and functional psychology.

Mind's Operations

The processes or activities by which the mind engages in thought, including reasoning, memory, and problem-solving.

Functionalism

A perspective in social science and psychology that focuses on the roles or functions of behaviors and mental processes in individuals and society.

Adaptation

in biology, refers to the process by which organisms adjust to changes in their environment to survive and reproduce, while in psychology, it can denote adjustments in cognitive or behavioral processes.