This precalculus video tutorial provides a basic introduction into the rational zero theorem. It explains how to find all the zeros of a polynomial function by using the rational zero theorem and by factoring polynomials. The rational zero theorem helps you to identify the first zero by listing all possible rational zeros and then evaluating the function to see if it's equal to zero at that particular value of x. This video also explains how to find all zeros of a polynomial function using synthetic division. You need to know how to factor trinomials and how to solve quadratic equations using the quadratic formula. This video contains plenty of examples and practice problems. Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E Polynomials - Basic Operations: https://www.youtube.com/watch?v=ZvL9aDGNHqA Dividing Polynomials By Monomials: https://www.youtube.com/watch?v=KyHXWAp7UGo How To Graph Polynomial Functions: https://www.youtube.com/watch?v=a5x4lwnvHM0 Intermediate Value Theorem: https://www.youtube.com/watch?v=9wEHwFrUyOU _____________________________________ Long Division - Polynomials: https://www.youtube.com/watch?v=_FSXJmESFmQ Polynomial Long Division - More Examples: https://www.youtube.com/watch?v=8lT00iLntFc Synthetic Division of Polynomials: https://www.youtube.com/watch?v=FxHWoUOq2iQ Remainder Theorem & Synthetic Division: https://www.youtube.com/watch?v=p1lSRAeEMR0 Factor Theorem & Synthetic Division: https://www.youtube.com/watch?v=zAGP46nR6-0 Rational Zero Theorem: https://www.youtube.com/watch?v=Iaq7z7reznM ______________________________________ Real & Imaginary Solutions - Polynomials: https://www.youtube.com/watch?v=tRrPfxR5h-w Solving Polynomial Equations - Synthetic D: https://www.youtube.com/watch?v=ZaXaBcZxhq4 Solving Polynomial Equations With Excel: https://www.youtube.com/watch?v=lomAl6XB_SM Writing Polynomial Functions Given Zeros: https://www.youtube.com/watch?v=vu0JmblDgog Descartes Rule of Signs: https://www.youtube.com/watch?v=YaU5JTe3cPU Solving Polynomial Inequalities: https://www.youtube.com/watch?v=Fd5ys4PQ-aM _____________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections