According to the Rational Roots Theorem, if there are any rational zeros, they are of the form where is an integer factor of the constant term and is an integer factor of the lead coefficient.
Hence the possible rational zeros are:
Use Synthetic Division to test each possible zero until you have found 3 rational zeros, 1 rational zero, or no rational zeros and have exhausted all of the possibilities. Hint: there are 3 rational zeros for this cubic equation, so if you don't find all three, check your synthetic division arithmetic.
See Purple Math Synthetic Division for a refresher on Synthetic Division, if necessary. Note that there are four pages on this topic.
John
My calculator said it, I believe it, that settles it
