Descartes Rule of Signs Video
This precalculus video tutorial provides a basic introduction into descartes rule of signs which determines the nature and number of the solutions to a polynomial equation. The number of sign changes in f(x) is related to the number of positive real zeros and the number of sign changes in f(-x) is related to the number of negative real zeros. The imaginary solutions is the difference between the degree of the polynomial and the sum of real zeros including positive real zeros and negative real zeros. This video explains the results of descartes rule of signs using a table. This video explains how to identify the exact number of positive and negative real zeros by actually finding all the zeros of the polynomial function by factoring by grouping and by factoring using synthetic division. 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
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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
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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
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
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Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
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