Factor by Any Method $$a ^ { 6 } + 1$$

question 305

Multiple Choice

Factor by any method.
- $$a ^ { 6 } + 1$$

• A) \(( a + 1 ) ( a - 1 ) \left( a ^ { 2 } + a + 1 \right) \left( a ^ { 2 } - a + 1 \right)\)
• B) \(\left( \mathrm { a } ^ { 3 } + 1 \right) \left( \mathrm { a } ^ { 3 } - 1 \right)\)
• C) \(\left( a ^ { 2 } + 1 \right) \left( a ^ { 4 } - a ^ { 2 } + 1 \right)\)
• D) \(( a + 1 ) ( a - 1 ) \left( a ^ { 4 } - a ^ { 2 } + 1 \right)\)

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Definitions:

Insomnia

A common sleep disorder that involves difficulty falling asleep, staying asleep, or obtaining restorative sleep.

REM Sleep

is a phase of sleep characterized by rapid eye movement, low muscle tone, and vivid dreaming, considered crucial for memory consolidation and emotional regulation.

Paradoxical Sleep

Another term for REM (Rapid Eye Movement) sleep, characterized by active brain waves, rapid eye movements, and dreaming, despite the body being in a state of muscle paralysis.

REM Rebound

An increased frequency of rapid-eye-movement (REM) sleep experienced after a period of REM sleep deprivation.