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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

_____________________________________
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

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

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