Factor as Completely as Possible $$x ^ { 3 } + 2 x ^ { 2 } - 16 x - 32$$

question 76

Multiple Choice

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.
- $$x ^ { 3 } + 2 x ^ { 2 } - 16 x - 32$$

• A) \(( x + 4 ) ( x - 4 ) ( x + 2 )\)
• B) Prime
• C) \(( x - 4 ) ^ { 2 } ( x + 2 )\)
• D) \(\left( x ^ { 2 } - 16 \right) ( x + 2 )\)

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Definitions:

Constant Returns to Scale

Constant Returns to Scale occur when an increase in all inputs leads to a proportional increase in output, indicating linear growth.

Output Q₁

Refers to the quantity of goods or services produced at the first level of output in a production process.

Output Q₃

A specified level of output or production, often denoted as Q₃ to represent a particular point on a supply or production curve.

Diseconomies of Scale

The phenomenon where increasing production leads to an increase in the average costs of production, opposite of economies of scale.