Factor the Greatest Common Factor from the Polynomial $12 x ^ { 3 n } - 30 x ^ { 2 n }$

question 47

Multiple Choice

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers.
- $12 x ^ { 3 n } - 30 x ^ { 2 n }$

• A) \(6 x ^ { 3 } n \left( 2 x ^ { n } - 5 \right)\)
• B) \(6 x ^ { n } \left( 2 x ^ { 2 n } - 5 x ^ { n } \right)\)
• C) \(6 x ^ { 2 n } \left( 2 x ^ { n } - 5 x \right)\)
• D) \(6 x ^ { 2 n } \left( 2 x ^ { n } - 5 \right)\)

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Definitions:

Circannual

Referring to biological processes or behaviors that occur on a yearly cycle, such as migration or hibernation.

Circadian

relates to biological processes that occur on a roughly 24-hour cycle, influencing sleep-wake patterns, hormone release, and other body functions.

Ultradian

Referring to recurrent periods or cycles repeated throughout a 24-hour day, such as the stages of sleep.

Infradian

Referring to biological rhythms with cycles that are longer than 24 hours, such as menstrual cycles or seasonal behaviors.