Find All Zeros of the Function and Write the Polynomial $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 36 x + 26$$

question 341

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- $$f ( x ) = x ^ { 3 } + 11 x ^ { 2 } + 36 x + 26$$

• A) \(f ( x ) = ( x + 1 ) ( x + 5 + i \sqrt { 2 } ) ( x - 1 - i \sqrt { 2 } )\)
• B) \(f ( x ) = ( x + 1 ) ( x + 5 + i ) ( x + 5 - i )\)
• C) \(f ( x ) = ( x + 1 ) ( x + 5 + i ) ( x - 5 - i )\)
• D) \(f ( x ) = ( x - 1 ) ( x + 5 + i \sqrt { 2 } ) ( x + 5 - i \sqrt { 2 } )\)

---

Definitions:

Average Costs

The average expense associated with producing a good or service, typically calculated by dividing the total costs by the quantity of goods or services produced.

Output Increases

A situation where the production level of goods or services in an economy or firm rises.

Scale of Production

Scale of Production refers to the size of operations for manufacturing or producing goods, impacting the costs and efficiency of production.

Average Costs

The total costs divided by the quantity of goods produced, measuring the cost per unit of production.