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:

Diffusion of Responsibility

A phenomenon where individuals are less likely to take action or feel responsible in the presence of a large group of people.

Prosocial Behaviour

Voluntary behavior intended to benefit another, such as helping, sharing, or providing comfort, which is motivated by empathy, moral principles, or a desire for social approval.

Mob Violence

Acts of aggression and violence carried out by a large group of people acting together.

Bystander Effect

The bystander effect is a social psychological phenomenon where individuals are less likely to offer help to a victim when other people are present.