Finding All Zeros of a Polynomial Function Using The Rational Zero Theorem
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- čas přidán 20. 06. 2024
- 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:
• Polynomials - Classify...
Polynomials - Basic Operations:
• Polynomials - Adding, ...
Dividing Polynomials By Monomials:
• Dividing Polynomials B...
How To Graph Polynomial Functions:
• How To Graph Polynomia...
Intermediate Value Theorem:
• Intermediate Value The...
_____________________________________
Long Division - Polynomials:
• Long Division With Pol...
Polynomial Long Division - More Examples:
• Polynomials - Long Di...
Synthetic Division of Polynomials:
• Synthetic Division of ...
Remainder Theorem & Synthetic Division:
• Remainder Theorem and ...
Factor Theorem & Synthetic Division:
• Factor Theorem and Syn...
Rational Zero Theorem:
• Finding All Zeros of a...
______________________________________
Real & Imaginary Solutions - Polynomials:
• How To Find The Real &...
Solving Polynomial Equations - Synthetic D:
• Solving Polynomial Equ...
Solving Polynomial Equations With Excel:
• Solving Polynomial Equ...
Writing Polynomial Functions Given Zeros:
• Writing Polynomial Fun...
Descartes Rule of Signs:
• Descartes Rule of Signs
Solving Polynomial Inequalities:
• Solving Polynomial Ine...
_____________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: czcams.com/video/tRrPfxR5h-w/video.html
Functions and Graphs: czcams.com/video/ZTEv8OnGaxo/video.html
Transformations of Functions: czcams.com/video/tyQLp6x-GoU/video.html
Graphing Polynomial Functions: czcams.com/video/rOOefdqMvtA/video.html
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This is a pretty consistent way of factoring high degree polynomials, there's no weird algebra manipulations, and it's very repeatable
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1:50 "The purpose of the Rational Zero Theorem is for us to get the first zero, and then use that to get the others using synthetic divison."
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