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:
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

Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU

Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM

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https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio