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 437

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.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 6 ; k = - 2$$

• A) \(f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) + 6\)
• B) \(f ( x ) = ( x + 2 ) \left( x ^ { 2 } + x + 2 \right) + 10\)
• C) \(f ( x ) = ( x + 2 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 18\)
• D) \(f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) - 6\)

---

Definitions:

Manual Page Break

A command or marker in document processing software that forces the printer or display to start a new page at a specific point.

Conclusion

The final part of something, such as an argument or research, summarizing the main points and often presenting a verdict or decision.

Introduction

The initial section of a document, presentation, or text that sets the context, outlines the purpose, and previews the content.

Manual Page Break

An explicitly inserted break in a document to start a new page, rather than one automatically generated by the software.