Directions: Use the space provide to respond to each statement concerning the given function f(x). SHOW WORK!!
f(x)=x^3-3x^2+4x-2.

3a.) Use the Fundamental Theorem of Algebra to determine the number of complex roots of f(x).

3b.) Use the Rational Root Theorem to determine the list of possible rational roots for f(x).

3c.) Find all the complex zeros of f(x). Show your work. Add more space as needed.