If Possible, Factor the Polynomial Completely $$x ^ { 4 } + 8 x ^ { 2 } + 16$$

question 48

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$x ^ { 4 } + 8 x ^ { 2 } + 16$$

• A) \(\left( x ^ { 2 } + 8 \right) \left( x ^ { 2 } - 8 \right)\)
• B) \(\left( x ^ { 2 } + 4 \right) ^ { 2 }\)
• C) \(\left( x ^ { 2 } + 4 \right) \left( x ^ { 2 } - 4 \right)\)
• D) \(\left( x ^ { 2 } - 4 \right) ^ { 2 }\)

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Definitions:

Marginal Productivity

The additional output generated by adding one more unit of a specific input, while holding all other inputs constant.

Marginal Cost

The cost added by producing one additional unit of a product or service, a crucial concept in economics for understanding optimization.

Marginal Product

The increase in output derived from the addition of one unit of a certain input, with all other inputs held steady.

Diminishing Marginal Product

The principle where the incremental output of a production process decreases as the amount of a single factor of production is incrementally increased, holding all other factors constant.