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
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Thank you. Me and my classmates didn’t understand and I’m learning this to help them

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sharing

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*my classmates and I

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I learned more from an algebra 2 playlist and a couple of pre calc videos (while taking notes and trying all the problems) than I did in an entire year of school

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im like,,"huh? how did he get that?"

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Madlad

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Im watching this in the future

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“Go ahead and solve this particular equation” uhhh how..💀

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they’re crying they can’t see what they’re typing

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im watching this cuz i have a test tomorrow

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llama I’m watching this cuz I’m cheating in class

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same girl

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I'm having a stroke right now just watching this

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online exams, I just opened another tab on chrome and watching.

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Man thank you so much, this was a big help. I actually forgot how to solve it then I saw this video and I might pass my activity right on time. ✨

[@leiakates1745]

Thank you so much! I was having a difficult time with Math recently and this was really helpful to me.

[@georgesadler7830]

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 is the most helpful video I’ve seen on this topic that made me understand it really clearly and fast.

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This is the most helpful video I’ve seen on this topic!

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Thank you very much, this video is very nice and helpful !

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I have a test tomorrow and this video was a huge help to me thx

[@user-gp2sf7kx2g]

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

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This Explanation was superb 🔥🔥 especially the factoring part that's super easy 🥰🥰

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[@TheJewAnnihilater]

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Thank you for the very help full tutorial, now I know how to solve polynomial equations using factoring and synthetic divison

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Thanks for new way.

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thank you a lot bro

[@myeshaportis1868]

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 ..

[@theduckgamerenttwt9090]

Thanks now i know how to solve this thank you

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thank u for helping me i understand polynomials now

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[@anonymousotter6455]

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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Great teacher!

[@pheonix4917]

No matter how much I watch this vid or read a book about it I still can't understand

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(I'm being drammatic, but it does make me really sad)

[@theyadore_skyy6959]

I got moved down to cp algebra 1 and I hate it so much!! I can’t understand anything 😭

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had to reassure myself that i do understand polynomials (even though i haven’t worked with them in moooonths) this video helped me feel better

[@veicho8726]

very helpful thankyouuuu

[@annurosman7512]

thanks really helpful eventhough i dont learn it yet

[@wardoo5557]

I guess its better to just straight up find the factor of the constant and try it in synthetic division rather than trial and error using factoring. Synthetic division is faster. Thanks!! I'll be using this technique

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please can someone explain me where did that (i) came from? im hella confused and that (A) too

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thank you!

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[@DreadTeamLeader]

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:

[@stephanielam1939]

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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I have to ask are questions that involve the third method asked in SAT?

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[@GillaniJh]

@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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Thank you ❤

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I don't understand the second equation

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[@talalelmasri6343]

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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What if it becomes a 3rd degree polynomial that cant be factored right

[@jermekaj.682]

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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[@lightnighte4108]

7:01 how does that change to x^2 explain it more clearly and properly.

[@dr.sandeepabiswaseconsonea9944]

Great

[@BonyRespectclips]

what of the question one, when the 4 is replace by 7 how you are going to solve that one too??

[@krishshivsharma2667]

why do you use the i, is it because the powers were halved or smth else

[@owlshoot6019]

Cant solve that we'll and my little pea size brain cant process well during math lesson, hope I can understand this one with no problem at all 🤧🤣🤣🤣

[@vuzok_]

حلو الكلام ❤️

[@attahjoseph5168]

sorry, but what if the leading coefficient for the X raise to 4 is greater than one? the last example you did

[@blazegamerd1259]

tysm

[@shelly_rose6815]

2:11 what would we do if it was (x+3) (x^2+16)=0

[@anmolsharma8716]

Thanks alotttt

[@me_22_rohit_pandhare19]

Sir please solve this equation . 3k rase to cube -10k rase to square +9k -2=0

[@sijanxo]

Is the answer k=1, 1/3, 2?

[@vianeygarrett1797]

@@sijanxo I got the same answers. After getting the first rational 0 with f(1), the synthetic division gives us 3k^2-7k+2=0, wich factors to (3k-1)(k-2)

[@loveubirch3640]

I'm so confused a little bit but I kind imagine hard for my school I learned this moment