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:

Operant Conditioning

is a learning process through which the strength of a behavior is modified by reinforcement or punishment.

Classical Conditioning

A learning process in psychology where an automatic conditioned response is paired with a specific stimulus, originally discovered by Ivan Pavlov.

Law of Effect

A psychological principle stating that behaviors followed by positive outcomes are likely to be repeated, while those followed by negative outcomes are less likely to be repeated.

Negative Reinforcement

The process of increasing desired behaviors by removing or avoiding a negative stimulus.