Factor Completely $$y z ^ { 3 } + 512 y$$

question 83

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$y z ^ { 3 } + 512 y$$

• A) \(( y z + 8 ) \left( z ^ { 2 } - 8 z + 64 y \right)\)
• B) \(y ( z + 8 ) \left( z ^ { 2 } + 64 \right)\)
• C) \(y ( z - 8 ) \left( z ^ { 2 } + 8 z + 64 \right)\)
• D) \(y ( z + 8 ) \left( z ^ { 2 } - 8 z + 64 \right)\)

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Definitions:

Reproductive Span

The period in an organism's lifespan during which it is capable of reproducing.

Postreproductive Survival

The period of an organism's life after it has completed its reproductive phase, which can have significant evolutionary implications, particularly in social species.

Primates

An order of mammals characterized by large brains, forward-facing eyes, and complex social structures, including humans, monkeys, and apes.

Grandmother Hypothesis

A theory positing that the presence and assistance of post-menopausal women, especially grandmothers, can significantly increase the survival rates of their grandchildren, thereby influencing human evolution.