3. Given: \( f ( x ) = 3 x ^ { 4 } + 10 x ^ { 3 } - 5 x ^ { 2 } + 10 x - 8 \)
a) Use the Rational Zero Theorem ( \( / 4 / q \) ) to list all of the possible rational zeros.
b) Use your calculator to select from your list above, the most likely rational zeros of \( f ( x ) \) . Which two of these possible rational zeros are actually zeros of the function?
c) Find all of the remaining zeros (real/rational/imaginary) of \( f ( x ) \) .