Use the Graph or Table to Determine a Solution of the Equation

question 5

Multiple Choice

Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a
solution of the equation. Then solve the polynomial equation.
- $$2 x ^ { 3 } + 11 x ^ { 2 } + 17 x + 6 = 0$$

• A) \(- 2\); The remainder is zero; \(- 3 , - 2\), and \(- \frac { 1 } { 2 }\), or \(\left\{ - 3 , - 2 , - \frac { 1 } { 2 } \right\}\)
• B) \(- 2\); The remainder is zero; \(3 , - 2\), and \(- \frac { 1 } { 2 }\), or \(\left\{ - 2 , - \frac { 1 } { 2 } , 3 \right\}\)
• C) \(- 2\); The remainder is zero; \(- 3,2\), and \(- \frac { 1 } { 2 }\), or \(\left\{ - 3 , - \frac { 1 } { 2 } , 2 \right\}\)
• D) \(- 2\); The remainder is zero; \(- 3 , - 2\), and \(\frac { 1 } { 2 }\), or \(\left\{ - 3 , - 2 , \frac { 1 } { 2 } \right\}\)

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Definitions:

Mutual Interdependence

A situation in a market where the actions of one firm can significantly impact the welfare of another, often seen in oligopolistic markets.

Equilibrium Price

The price at which the quantity of goods supplied matches the quantity of goods demanded, leading to market stability.

Oligopoly

A market structure characterized by a small number of firms whose decisions affect and are affected by each other, leading to strategic behavior.

Automobile Manufacturing

The industry and process involved in the design, development, production, marketing, and sale of motor vehicles.