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:

Injection

The act of administering a liquid, especially a drug, into a person's body using a syringe and needle.

Cries

Vocalizations or sounds made as expressions of distress, pain, or discomfort.

Truth-functional

Pertaining to logical operations whose truth values depend solely on the truth values of their component propositions.

Quantifier

A term in logic that specifies the quantity of specimens in the domain of discourse that satisfy an open formula.