Find All of the Real Zeros of the Function $$f ( x ) = 6 x ^ { 3 } + 25 x ^ { 2 } + 12 x - 7$$

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = 6 x ^ { 3 } + 25 x ^ { 2 } + 12 x - 7$$

A) $- 1$ (rational) , $- \frac { 7 } { 2 }$ (rational) , $\frac { 1 } { 3 }$ (rational)
B) - 1 (rational) , $\frac { 1 } { 3 }$ (rational) , $\frac { 7 } { 2 }$ (rational)
C) $\frac { 1 } { 3 }$ (rational) (multiplicity 2 ) ; $- \frac { 7 } { 2 }$ (rational)
D) $- \frac { 1 } { 3 }$ (rational) , $- \frac { 7 } { 2 }$ (rational) , $\frac { 1 } { 3 }$ (rational)