Write the Function as a Product of Linear and Irreducible $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } - 3 x - 28$$

question 275

Multiple Choice

Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.
- $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } - 3 x - 28$$

• A) \(( x - 7 ) \left( x ^ { 2 } + x + 4 \right)\)
• B) \(( x + 7 ) \left( x ^ { 2 } + x + 4 \right)\)
• C) \(( x + 7 ) \left( x ^ { 2 } + x - 4 \right)\)
• D) \(( x - 7 ) \left( x ^ { 2 } + x - 4 \right)\)

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Definitions:

Autonomous Consumption

Describes the expenditure that consumers will make even when they have no income, considering it as a basic level of consumption driven by needs.

Saving

The act of setting aside money for future use, reducing current consumption.

Induced Consumption

Consumer spending that increases or decreases as a result of changes in income, as opposed to autonomous consumption that does not change with income.

Disposable Income

Income available to a household or individual after taxes have been paid, available for spending or saving.