Use Synthetic Division to Divide F(x)by X - C, and Then

question 30

Multiple Choice

Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c) q(x) + r.
- $$f ( x ) = x ^ { 5 } + x ^ { 2 } + 1 ; x - 2$$

• A) \(( x - 2 ) \left( x ^ { 4 } + 2 x ^ { 3 } + 4 x ^ { 2 } + 9 x + 18 \right) + 37\)
• B) \(( x - 2 ) \left( x ^ { 4 } + 3 \right) + 7\)
• C) \(( x - 2 ) \left( x ^ { 4 } + 3 x ^ { 2 } \right) + 7\)
• D) \(( x - 2 ) \left( x ^ { 4 } + 2 x ^ { 3 } + 5 x ^ { 2 } + 10 x + 20 \right) + 41\)

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Definitions:

Mean

The arithmetic average of a set of values or a distribution, calculated by summing all the values and dividing by the number of values.

Organization-Level Incentive

A reward or bonus system designed to encourage and reward collective achievements of all members within an organization, aiming to drive overall organizational performance.

Profit Sharing

A company policy where employees receive a share of the company's profits beyond their regular pay, serving as an incentive and reward.

Gainsharing

A type of incentive plan where employees receive bonuses based on the cost-saving or performance improvements they help achieve for the company.