Solve the Polynomial Equation $$x ^ { 3 } - 5 x ^ { 2 } + 6 x - 2 = 0$$

question 106

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
- $$x ^ { 3 } - 5 x ^ { 2 } + 6 x - 2 = 0$$

• A) \(\{ 1,2 + \sqrt { 2 } , 2 - \sqrt { 2 } \}\)
• B) \(\{ 1 , - 1,2 \}\)
• C) \(\{ - 1,4 + \sqrt { 2 } , 4 - \sqrt { 2 } \}\)
• D) \(\{ 1,4 + \sqrt { 2 } , 4 - \sqrt { 2 } \}\)

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