Find all zeros (x intercepts) of the polynomial function using the rational zero theorem, factor theorem and remainder theorem, and synthetic division. When you have found enough zeros such that your polynomial is now a quadratic, you may use the quadratic formula (or factor) to find the remaining 2 solutions. 1. f(x) = 6x + 31x + 4x-5 How many zeros will this polynomial have? 3 Find all possible zeros by using the Rational zero theorem: Use the remainder theorem to find the first zero: Do Synthetic division with the zero found using the remainder theorem: