Factor the Expression by Grouping Terms $3 x ^ { 3 } + x ^ { 2 } - 15 x - 5$

question 82

Multiple Choice

Factor the expression by grouping terms. $3 x ^ { 3 } + x ^ { 2 } - 15 x - 5$

• A) \(\left( x ^ { 2 } - 5 \right) ( 2 x + 1 )\)
• B) \(\left( x ^ { 2 } - 6 \right) ( 3 x + 1 )\)
• C) \(\left( x ^ { 2 } - 6 \right) ( 2 x + 1 )\)
• D) \(\left( x ^ { 2 } + 5 \right) ( 3 x - 1 )\)
• E) \(\left( x ^ { 2 } - 5 \right) ( 3 x + 1 )\)

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Definitions:

Traceable Fixed Expense

A fixed cost that can be directly linked to a specific business segment, product, or service.

Net Operating Income

The income earned by a business through its core operations, not including taxes and interest expenses.

Unit Sales

This term refers to the quantity of individual items sold or expected to be sold.

Price Increase

is the rise in the selling price of goods or services, often due to factors like inflation, increased production costs, or higher demand.