Remainder Theorem and Synthetic Division of Polynomials

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This precalculus video tutorial provides a basic introduction into the remainder theorem and how to apply it using the synthetic division of polynomials. It explains how to evaluate a function using synthetic division. The value of the function is equal to the remainder when f(x) is divided by a linear factor. This video contains plenty of examples and practice problems on the remainder theorem and synthetic division.

Introduction to Polynomials:


Polynomials - Basic Operations:


Dividing Polynomials By Monomials:


How To Graph Polynomial Functions:


Intermediate Value Theorem:


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Long Division - Polynomials:


Polynomial Long Division - More Examples:


Synthetic Division of Polynomials:


Remainder Theorem & Synthetic Division:


Factor Theorem & Synthetic Division:


Rational Zero Theorem:


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Real & Imaginary Solutions - Polynomials:


Solving Polynomial Equations - Synthetic D:


Solving Polynomial Equations With Excel:


Writing Polynomial Functions Given Zeros:


Descartes Rule of Signs:


Solving Polynomial Inequalities:


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Final Exams and Video Playlists:


Full-Length Videos and Worksheets: