Find All the Zeros of the Function and Write the Polynomial

question 61

Multiple Choice

Find all the zeros of the function and write the polynomial as a product of linear factors. $x ^ { 4 } + 32 x ^ { 2 } + 256$

• A) \(4 i , 4 i ; ( x + 4 i ) ( x + 4 i ) ( x + 4 i ) ( x + 4 i )\)
• B) \(\pm 4 , \pm 4 i ; ( x + 4 ) ( x - 4 ) ( x + 4 i ) ( x - 4 i )\)
• C) \(\pm 4 i , \pm 4 ; ( x + 4 i ) ( x - 4 i ) ( x + 4 ) ( x - 4 )\)
• D) \(- 4 i , - 4 i ; ( x - 4 i ) ( x - 4 i ) ( x - 4 i ) ( x - 4 i )\)
• E) \(\pm 4 i , \pm 4 i ; ( x + 4 i ) ( x - 4 i ) ( x + 4 i ) ( x - 4 i )\)

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Definitions:

Collectivism

A cultural value that prioritizes the group's needs over individual desires or accomplishments, often associated with societies that emphasize social harmony and interdependence.

Mood Linkage

Mood linkage refers to the phenomenon where individuals in a social environment tend to share or synchronize their emotional states with others, often subconsciously.

Individualism

A moral, political, or social outlook that emphasizes the moral worth of the individual and the importance of individual self-reliance and independence.

Norms

Understood rules for accepted and expected behavior. Norms prescribe “proper” behavior.