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:

Broad-based Organizational Change

A comprehensive transformation in an organization covering major aspects like culture, systems, processes, and structure, aiming at improving overall performance and adaptability.

Teamwork Role

The specific duties or functions that an individual assumes or is assigned within a team to contribute effectively to the team's goals.

Complementary Skills

Abilities or expertise in different areas that, when combined, enhance performance, productivity, or innovation in a team or project.

Mutually Accountable

A situation or relationship in which all parties involved accept responsibility for their actions and contributions toward a common goal.