If Possible, Factor the Polynomial Completely $$x ^ { 4 } + 8 x ^ { 2 } + 16$$

question 48

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$x ^ { 4 } + 8 x ^ { 2 } + 16$$

• A) \(\left( x ^ { 2 } + 8 \right) \left( x ^ { 2 } - 8 \right)\)
• B) \(\left( x ^ { 2 } + 4 \right) ^ { 2 }\)
• C) \(\left( x ^ { 2 } + 4 \right) \left( x ^ { 2 } - 4 \right)\)
• D) \(\left( x ^ { 2 } - 4 \right) ^ { 2 }\)

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Definitions:

Behavior

The actions or reactions of an individual or group in response to external or internal stimuli.

Determinism

Determinism is the philosophical belief that all events, including moral choices, are determined completely by previously existing causes.

Unpredictable

Describes something that is not able to be predicted or anticipated due to its random or variable nature.

Heredity

The genetic transmission of characteristics from parents to offspring, influencing various aspects of an individual's physical and behavioral traits.