Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 4 ; k = - 2$$

question 420

Multiple Choice

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

• A) \(f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) + 4\)
• B) \(f ( x ) = ( x + 2 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 16\)
• C) \(f ( x ) = ( x + 2 ) \left( x ^ { 2 } + x + 2 \right) + 8\)
• D) \(f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) - 8\)

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Definitions:

FLL Instruction

An instruction in PLC programming that fills a block of data with a specified value.

Zero Data

Refers to a state or condition where no relevant or actionable data is available or present.

Data Transfer

The process of moving or copying data from one location to another, either within the same device or across different ones.

Data Compare

a process or operation in computing and programming that involves comparing two sets of data to identify similarities, differences, or specific conditions.