Use the Factor Theorem to Determine Whether X - C $$f ( x ) = 2 x ^ { 3 } + 16 x ^ { 2 } + 39 x + 45 ; c = - 5$$

question 314

Multiple Choice

Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the
form f(x) = (x - c) (quotient) .
- $$f ( x ) = 2 x ^ { 3 } + 16 x ^ { 2 } + 39 x + 45 ; c = - 5$$

• A) \(\mathrm { No }\)
• B) Yes; \(f ( x ) = ( x - 5 ) \left( 2 x ^ { 2 } + 6 x - 9 \right)\)
• C) Yes; \(f ( x ) = ( x + 5 ) \left( 2 x ^ { 2 } + x + 9 \right)\)
• D) Yes; \(f ( x ) = ( x + 5 ) \left( 2 x ^ { 2 } + 6 x + 9 \right)\)

---

Definitions:

Manufacturing Overhead

All indirect costs associated with manufacturing, including utilities, rent for the manufacturing facilities, and salaries of non-direct employees.

Raw Materials Transactions

Financial and operational activities related to the acquisition and use of raw materials in the production process.

November

November, which is the month number eleven in the Gregorian calendar.

Raw Materials Account

An accounting record that tracks the cost of raw materials purchased by a company intended for use in production.