Learn how to graph polynomials using the Rational Zero Theorem, Descartes Rule of Signs as well as Synthetic Division in this video tutorial by Mario's Math Tutoring. We go through 2 examples showing how to find the possible rational roots using the Rational Root Theorem. We then narrow down that list of possible zeros further by using Descartes Rule of Signs. We then test the possible rational roots using synthetic division and finally factor the polynomial to find the remaining zeros. Along with considering the end behavior and the multiplicity of the zeros we are able to get a good sketch of the polynomial.
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