Solve the Polynomial Equation $$x ^ { 4 } + 5 x ^ { 3 } - 2 x ^ { 2 } - 18 x - 12 = 0$$

question 92

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 4 } + 5 x ^ { 3 } - 2 x ^ { 2 } - 18 x - 12 = 0$$

• A) \(\{ - 1,2 , - 3 + \sqrt { 3 } , - 3 - \sqrt { 3 } \}\)
• B) \(\{ 1 , - 2 , - 3 + \sqrt { 3 } , - 3 - \sqrt { 3 } \}\)
• C) \(\{ - 1,3 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}\)
• D) \(\{ - 1 , - 2 , - 3 + \sqrt { 5 } , - 3 - \sqrt { 5 } \}\)

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