Solving Polynomial Equations By Factoring and Using Synthetic Division

This precalculus video tutorial provides a basic introduction into solving polynomial equations. It explains how to solve polynomial equations by factoring by grouping and factoring by substitution. It also contains plenty of examples and practice problems on solving polynomial equations using synthetic division. You need to know how to factor trinomials and how to factor the GCF.
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

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: czcams.com/video/lomAl6XB_SM/video.html

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MR. Organic Chemistry Tutor, thank you for an awesome lecture/video on Solving Polynomial Equations by Factoring and Using Synthetic Division.

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This video helped me a lot by helping me solve polynomial equations by factoring and use of synthetic division

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Currently studying for a placement test, and I can currently learn from his videos, but this way of doing polynomials is not registering at all with how I remember in high school. It just seem like many extra steps are involved ..

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my teacher taught me to do this with synthetic division with each number being the multiplier in the box, and this dude sped my math with this:

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Do you know where he got the 1 outside of the box (The one that's on the left side of the synthetic box) on the third problem?

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12:20 If I was not able to factor by grouping, does that mean that I have to repeat the synthetic division steps again?

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@TheOrganicChemistryTutor dear sir in the third equation solver by rational zero theorem, on which basis you have used " 1 " in the function either the "1" from leading term co-efficient or the first factor from the factors of constant term . Kindly answer , will be thankfull sir !

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I have a problem of factoring this equation : x^5-6x^4-3x^3+3x^2-8x+1
Can u help me please.

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I don't understand the second equation

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why replace x^4 with a^2 and x^2 with a? is it to make factoring easier? couldn't you just insert 4x^2 and -9x^2 and factor by grouping?

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Good