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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