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

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)