Find All of the Real Zeros of the Function $$f ( x ) = x ^ { 3 } - 7 x ^ { 2 } + 10 x + 6$$

question 393

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = x ^ { 3 } - 7 x ^ { 2 } + 10 x + 6$$

• A) 3 (rational), \(\sqrt { 6 }\) (irrational), and \(- \sqrt { 6 }\) (irrational)
• B) 3 (rational), \(1 + \sqrt { 6 }\) (irrational), and \(1 - \sqrt { 6 }\) (irrational)
• C) 3 (rational), \(- 2 + \sqrt { 6 }\) (irrational), and \(- 2 - \sqrt { 6 }\) (irrational)
• D) 3 (rational), \(2 + \sqrt { 6 }\) (irrational), and \(2 - \sqrt { 6 }\) (irrational)