Express as a Sum of Terms of the Form $a x ^ { \gamma }$

question 3

Multiple Choice

Express as a sum of terms of the form $a x ^ { \gamma }$ , where r is a rational number. $\frac { \left( x ^ { 2 } + 6 \right) ^ { 2 } } { x ^ { 5 } }$

• A) \(x ^ { - 1 } + 6 x ^ { - 3 } + 12 x ^ { - 5 }\)
• B) \(x ^ { - 4 } + 12 x ^ { - 2 } + 36\)
• C) \(x ^ { - 1 } + 12 x ^ { - 3 } + 36 x ^ { - 5 }\)
• D) \(x + 12 x ^ { 3 } + 36 x ^ { 5 }\)
• E) \(x ^ { 4 } + 12 x ^ { 2 } + 36\)

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Definitions:

Bandura

Albert Bandura, a psychologist known for his work on social learning theory and the concept of self-efficacy.

Negative Contrast

A psychological phenomenon where the response to a second stimulus is influenced negatively by a previously presented stronger stimulus.

Medium Reward

Denotes a reward that offers a moderate level of satisfaction or incentive.

Performance Decline

A decrease in the effectiveness or efficiency of one's abilities or skills over time.