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Finding All Zeros of a Polynomial Function Using The Rational Zero Theorem

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:    • Polynomials - Classifying Monomials, ...   Polynomials - Basic Operations:    • Polynomials - Adding, Subtracting, Mu...   Dividing Polynomials By Monomials:    • Dividing Polynomials By Monomials & B...   How To Graph Polynomial Functions:    • How To Graph Polynomial Functions Usi...   Intermediate Value Theorem:    • Intermediate Value Theorem Explained ...   _____________________________________ Long Division - Polynomials:    • Long Division With Polynomials - The ...   Polynomial Long Division - More Examples:    • Polynomials -  Long Division   Synthetic Division of Polynomials:    • Synthetic Division of Polynomials   Remainder Theorem & Synthetic Division:    • Remainder Theorem and Synthetic Divis...   Factor Theorem & Synthetic Division:    • Factor Theorem and Synthetic Division...   Rational Zero Theorem:    • Finding All Zeros of a Polynomial Fun...   ______________________________________ Real & Imaginary Solutions - Polynomials:    • How To Find The Real & Imaginary Solu...   Solving Polynomial Equations - Synthetic D:    • Solving Polynomial Equations By Facto...   Solving Polynomial Equations With Excel:    • Solving Polynomial Equations Using Go...   Writing Polynomial Functions Given Zeros:    • Writing Polynomial Functions With Giv...   Descartes Rule of Signs:    • Descartes Rule of Signs   Solving Polynomial Inequalities:    • Solving Polynomial Inequalities   _____________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets:   / collections