Find All the Rational Zeros of the Function $f ( x ) = x ^ { 5 } - 5 x ^ { 4 } + 11 x ^ { 3 } - 23 x ^ { 2 } + 28 x - 12$

Multiple Choice

Find all the rational zeros of the function $f ( x ) = x ^ { 5 } - 5 x ^ { 4 } + 11 x ^ { 3 } - 23 x ^ { 2 } + 28 x - 12$ .

A) x = -2, 2, 1, 3
B) x = 3, 1
C) x = -2, -1, -3
D) x = -1, -2
E) x = -2, 2, -1, 1, -3