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:
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Polynomials - Basic Operations:
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Dividing Polynomials By Monomials:
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How To Graph Polynomial Functions:
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Intermediate Value Theorem:
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Long Division - Polynomials:
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Polynomial Long Division - More Examples:
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Synthetic Division of Polynomials:
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Remainder Theorem & Synthetic Division:
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Factor Theorem & Synthetic Division:
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Rational Zero Theorem:
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Real & Imaginary Solutions - Polynomials:
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Solving Polynomial Equations - Synthetic D:
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Solving Polynomial Equations With Excel:
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Writing Polynomial Functions Given Zeros:
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Descartes Rule of Signs:
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Solving Polynomial Inequalities:
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Final Exams and Video Playlists:
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Full-Length Videos and Worksheets:
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