Factor the Greatest Common Factor from the Polynomial $$42 x ^ { 8 } y ^ { 6 } z ^ { 2 } - 36 x ^ { 3 } y ^ { 4 } z ^ { 3 } - 36 x ^ { 5 } y ^ { 2 } z ^ { 4 }$$

question 61

Multiple Choice

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers.
- $$42 x ^ { 8 } y ^ { 6 } z ^ { 2 } - 36 x ^ { 3 } y ^ { 4 } z ^ { 3 } - 36 x ^ { 5 } y ^ { 2 } z ^ { 4 }$$

• A) \(6 x ^ { 3 } y ^ { 2 } z ^ { 3 } \left( 7 x ^ { 5 } y ^ { 4 } - 6 y ^ { 2 } - 6 x ^ { 2 } z \right)\)
• B) \(6 x ^ { 3 } y ^ { 2 } z ^ { 2 } \left( 7 x ^ { 5 } y ^ { 4 } - 6 y ^ { 2 } z - 6 x ^ { 2 } z ^ { 2 } \right)\)
• C) \(x ^ { 3 } y ^ { 2 } z ^ { 2 } \left( 42 x ^ { 5 } y ^ { 4 } - 36 y ^ { 2 } z - 36 x ^ { 2 } z ^ { 2 } \right)\)
• D) \(6 \left( 7 x ^ { 8 } y ^ { 6 } z ^ { 2 } - 6 x ^ { 3 } y ^ { 4 } z ^ { 3 } - 6 x ^ { 5 } y ^ { 2 } z ^ { 4 } \right)\)

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Definitions:

Behavior

Actions or reactions of an organism, often in response to its environment.

Inclusive Fitness

Inclusive fitness is a concept in evolutionary biology that explains an organism's total genetic contribution to the next generation, including its own offspring and the offspring of its relatives.

Indirect Component

A factor or variable that contributes to an outcome through its effects on other variables, rather than directly.

Evolution

The gradual process by which different kinds of living organisms have developed from earlier forms during the history of the earth, driven by mechanisms like natural selection.