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 381

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.
- $$f ( x ) = 3 x ^ { 3 } - x ^ { 2 } + 2 x + 3 ; k = - 1$$

• A) \(f ( x ) = ( x + 1 ) \left( 3 x ^ { 2 } + 2 x \right) + 3\)
• B) \(f ( x ) = ( x + 1 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 5\)
• C) \(f ( x ) = ( x + 1 ) \left( 3 x ^ { 2 } - 4 x + 6 \right) - 3\)
• D) \(f ( x ) = ( x - 1 ) \left( 3 x ^ { 2 } + 2 x \right) + 3\)

---

Definitions:

Technology

The application of scientific knowledge for practical purposes, especially in industry.

Macho Culture

Macho culture refers to an organizational environment that emphasizes toughness, personal strength, and the dominance of male attributes, often at the expense of inclusivity and diversity.

Workplace Safety

Practices and policies implemented to ensure the physical and psychological well-being of employees in a work environment, preventing injuries and health hazards.

Incident Rates

The frequency at which certain events, such as accidents or injuries, occur within a specified period or population.