Use Synthetic Division $$f ( x ) \text { by } x - k \text { for the given value of } k \text {. Then express } f ( x ) \text { in the form } f ( x ) = ( x - k ) q ( x ) + r$$

question 250

Multiple Choice

Use synthetic division $$f ( x ) \text { by } x - k \text { for the given value of } k \text {. Then express } f ( x ) \text { in the form } f ( x ) = ( x - k ) q ( x ) + r$$ for the given value of k.
- $$f ( x ) = 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x ; \quad k = - 3$$

• A) \(f ( x ) = ( x - 3 ) \left( 2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 \right) + 45\)
• B) \(f ( x ) = ( x + 3 ) \left( 2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 \right) + 45\)
• C) \(f ( x ) = ( x + 3 ) \left( 2 x ^ { 3 } + 5 x ^ { 2 } + 3 \right) + 9\)
• D) \(f ( x ) = ( x - 3 ) \left( 2 x ^ { 3 } - 5 x ^ { 2 } + 3 \right) + 9\)

---

Definitions:

Gastrointestinal Manifestations

Signs and symptoms that arise from or affect the digestive tract.

Influenza

An acute infection of the respiratory tract caused by the influenza virus.

Well-Baby Visit

Regular medical checkups for infants aimed at monitoring growth and development and preventing health problems.

Completed Examination

The conclusion of a thorough medical assessment, which involves evaluating the body by a healthcare provider for any signs of disease or abnormalities.