Find a Rational Zero of the Polynomial Function and Use $$f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 14 x - 4$$

Multiple Choice

Find a rational zero of the polynomial function and use it to find all the zeros of the function.
- $$f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 14 x - 4$$

A) $\{ 2,3 + \sqrt { 7 } , 3 - \sqrt { 7 } \}$
B) $\{ 1 , - 1,4 \}$
C) $\{ - 2,6 + \sqrt { 7 } , 6 - \sqrt { 7 } \}$
D) $\{ 2,6 + \sqrt { 4 } , 6 - \sqrt { 4 } \}$