I'm HOPING this is the last problem I need help on.. :-/

Question

List the possible rational zeros of f using the rational zero theorem.

f(x) = 2x^3 - x^2 + 5x + 6

I applied the rational zero theorem, but none of the factors worked :(

Answer 1

You are right, it does not factor over the rational numbers.
Try this program

http://www.1728.com/cubic.htm

it shows one real solution, and two imaginary roots.