Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other! Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

@lorenarzadon9758

4 жыл бұрын

patrickJMT can you group factor the polynomial you get after you plug in 1 to find the other factors??

@wolverine2511

4 жыл бұрын

2x square 5x square 3x-18

This guy has so much confidence in himself to use a Sharpie for math 😭😭

@gigatrooper5098

4 жыл бұрын

Madlad

@MyfamilyJenkins

4 жыл бұрын

Facts 101

@twicelovesonce1004

2 жыл бұрын

Wdym?

@JRusselNV

2 жыл бұрын

@@twicelovesonce1004 Confident to not make any kinds of mistakes in the paper.

@louj8112

2 жыл бұрын

@@twicelovesonce1004 confidence to not make any mistakes, you can’t erase with sharpe if you didn’t kno 😂

I don't know how to do taxes, or how to sign up for a 401k, but thank christ i know how to find the zeroes of a polynomial.

@emmaclare0

8 жыл бұрын

+Slikver The Wise tru

@ducksoop.x

7 жыл бұрын

To be fair, doing taxes doesn't take a whole semester to learn nor does learning about a 401k.

@patrickjmt

7 жыл бұрын

agreed josh t. but i also agree strongly with slikver. i think it should be required for students to take a class on basic finance including loans, taxes, retirement plans, interview skills, etc.. The stuff all of us will use in life. I am not sure how important many of the topics taught in algebra are.

@ducksoop.x

7 жыл бұрын

patrickJMT I agree. I feel like we should have more choice with our courses in High School. Algebra was important for me since I am a CS major and math will not be going away anytime soon. But I'm sure for the majority of people it's not necessary. There should be one course that just teaches you how to (properly) adult. Taxes, loans, retirement plans, interview skills, social skills, etc. Real life skills. I learned about taxes inside and outside of High school. Had an economics class. To be fair it was mostly a blow-off class. Many would also argue that the parents should teach these things. But in some instances.... Maybe they don't have parents or their parents aren't very knowledgeable on those things either.

@tomi9062

7 жыл бұрын

you don't know how to do taxes cause ur an idiot

This is 8 years ago but it’s still more helpful than my teacher.

@zmoosky

3 жыл бұрын

Same for me but 10

@deepakthapa1587

2 жыл бұрын

But now 11 years ago lol

@lovelypersonn1720

2 жыл бұрын

Nah fr I got an F on my homework cause I did this shii wrong but after watching this video I wanna cry at how much I understand him more than my teach 😭

your views must skyrocket right before exams

@arianahi

6 жыл бұрын

Tyler Topulos i’m glad you pointed that out lol

@angeluzlopez5813

5 жыл бұрын

Tyler Topulos my math exam is tomorrow 😖😂

@dandrejohnson1522

4 жыл бұрын

Angeluz Lopez same

I always question life when I do problems like this..

Each problem takes 10 minutes and I have a whole page of these problems to do. Fml

@jayman4581

8 жыл бұрын

Just factor bra

@JM-lh8rl

7 жыл бұрын

josabad munoz However, some polynomials can't be factored with conventional rules and you need to use the test and divide to find the zeroes. But totally, factor if there's an obvious root that saves you the trouble of doing this

@Oscar-gx2yf

6 жыл бұрын

you mean an hour each

@ti84satact12

6 жыл бұрын

Binary Number: Pay me $100 to solve 1 problem. I would totally do it. That's the way I would view this!

@treyon9190

5 жыл бұрын

Exactly

honestly can't thank you enough. this cleared up so much

@patrickjmt

8 жыл бұрын

+Geraldine Wijesundera glad i could help ya out

@steamdecknation7908

8 жыл бұрын

+patrickJMT What if you don't have a constant? Like 3x^4 - 5x^3 -3x^2

@ViktoriaMom

8 жыл бұрын

+foreverX ransford You can factor out an x squared first: so then it looks like: (x^2) ( 3x^2 - 5x - 3 ) that means that x^2 = 0, so you have x = 0 as a zero, and it has a multiplicity of 2 (meaning that particular zero showed up twice as an answer.) Then, use the quadratic formula to find the zeros of the rest.good luck!

@PhuongTran-yq8mj

8 жыл бұрын

+Viktoria Hart Thanks!This really helped on one of my problems.

@Emk315

7 жыл бұрын

Is there a video on sketching functions?

Your videos are going to go on for several generations and continue to save lives. Haha thank you.

@swapnilbankar6913

6 жыл бұрын

TheRandoy yes buddy. I am watching this in 2018.

@kakurocksman

5 жыл бұрын

2019 here, buddy. Common, guy what you doing all the way back in 2018?

@shahema.3447

4 жыл бұрын

@@kakurocksman 2020, what are u doing back in 2019

@mattkrasnecki4458

3 жыл бұрын

@@shahema.3447 2021, what are you doing in 2020?

@Alexj_movieguy

2 жыл бұрын

@@mattkrasnecki4458 2022, we’re still here

i like how people say there is an easier way to do this yet they fail to inform us how

@milkgg1394

9 жыл бұрын

^ lol ikr

@caramel5000

6 жыл бұрын

Calculator

@ilikealotofthings731

6 жыл бұрын

caramel5000 Explain how you do this with a calculator alone?

@evanurena8868

5 жыл бұрын

TacocatBackwards Well, their is Newton's Method, which is one quicker alternative to finding the zeros of a polynomial function, instead it utilizes calculus. Another is Descarte's rule of signs, but involves no calculus.

@rogueonparmer4870

5 жыл бұрын

Newton’s method doesn’t always work though. It’s good when it does but if you have a point where f’ =0 then you can’t use it anymore

I love you!!!! lol. Seriously, thanks, I spent two hours reading the book and the notes and I couldn't figure out what to do after the first synthetic division. Outstanding work, great explanation. You are the man.

Thank you, I've been looking high and low for a video that would teach me how to find the zeros of a polynomial with a degree higher than 3, and this really helped me out! Keep doing what you're doing, you're a massive help :)

I really appreciate the fact that you explain a week class just in ten mins. Thanks ...

You just saved my life. Online, I just can't stand the way my professor lectures. THANK YOU!

thank you man. No joke 1 minute and 25 seconds into this video it explained more that my online class professor who leaves a lot of steps out. Appreciate it

@patrickjmt

7 жыл бұрын

+Anthony Esposito happy I could help you.

Thank You so much Patrick...You helped me in college and now that I just graduated I want to say..You are the best math teacher ever

omg this helped so much. I can never understand what my teacher is teaching, but then when I watch math videos they make everything clearer. thanks so much!

super happy i could help a random guy from sweden! i would love to visit there one day

I know this video is a bit old now but I still want to express my gratitude. You helped me out a lot tonight with my homework and I truly appreciate it. Thank you!

being able to find the zeros of a polynomial is a fundamental problem in mathematics; many real problems can be stated in this form and the solutions are then the zeros. i agree, not everyone in the world is going to use this. in fact, a small percentage will. however, that small percentage are people doing (to me) cool things: building bridges, computer science and programming (you like the internet, i bet), studying infectious diseases via statistics, the list goes on and on.

I never knew how to do the ones with the rational zeros because i skipped math the day we leanred them.. thank you so much for dedicating your time to upload these videos!!!!

Thank you for making so much sense! I was recently home sick from school for four days and pretty much had to fend for myself as far as learning the lessons I missed. Thanks to your videos, when I came back to school and aced the quiz on everything I missed.

God bless your soul... you cleared up everything and i just went to about 6 other videos and none of which could explain this concept like you did. THX

you explain this better than my algebra 2 teacher!!

@MrChainsawmanic1 factor it (it is a difference of perfect squares) ; you should be able to factor it twice using the difference of perfect square formula! (that is the hint i give you!)

Honestly you deserve an award my good sir. Math test tomorrow, missed review day and looking at the packet I was so confused until I found your video. Cheers!

I have independent studies for a while and I have to learn on my own and I've been learning everything all thanks to your video, thank you soo much!

@jeleemay97 yes, it is very time consuming. to find zeros of a polynomial is actually a deep and important concept.

I had so many ppl try to explain this to me... but I just sat there saying yeah... your video really helped me understand how to do these problems now! Thank you so much!

Thank you I was up for hours trying to figure out how to do this and your video cleared it right up

thank you so much for clear explanations, all the examples you solve there are so easy to understand and simple

Dude, I greatly appreciate this lesson. I couldn't find any way to understand it, but this made it so easy. Thanks!

I have watched several instructors and this is one of the best demonstration as he does not waste time. If you understand the best principle it should not be confusing. I have watched them over and over to arrive at the principle being taught.

@revincentiii

9 жыл бұрын

....sorry - if understand the basic principle it should not be confusing.

so helpful and straight to the point and you show the best techniques and its so easy to follow because u explain it all! my teacher didnt teach us anything like this and it was so hard for me until i watched this and now i can do my homework!! thank you soooo much

I just learned this 100% better in 10 minutes than 2 weeks in my precalculus class. Thank you

This is super helpful! Thank you so much for posting this. It makes everything so much easier when it is explained.

my pleasure :) glad my videos could help you out

this helped so much!!! i have watched so many other videos here on utube ab how to find the roots of quartic functions but only this has helped me n i feel a lot more confident on how to find the zeros of quartics thank u so much

@patrickjmt

4 жыл бұрын

happy i could help :) it is a long and tedious process but that's how it goes

Thank you so much I was like I’m going to fail this class and have to take it again you broke it down to where I can understand it

Thanks for the video but m having a problem in solving polynomial that dose y have a constant and the coefficient of x at the beginning is higher than 1. Pls how do I solve this

Thanks! This helped clear this up completely. Had everything I needed to know for my quiz. :)

this video was infinitely helpful. I can't even express it. haha thanks so much. I've watched a ton of videos about this already but you made it plain and simple. fantastic job.

Thank you! I cant believe im barely studying at about 3 in the morning, but this helped me so much!

Is it only possible to divide synthetically with a first degree? For example if I have a polynomial and I know (x²−4) is a factor, which is a second degree. Can I do synthetic division with this factor as well?

Thank you so much, I have a test tommorow and its been three weeks since the unit started and i have learned so much stuff about polynomials its insane. I used all your videos that I needed for review and I have an even better understanding! Thank you for the great explanations, great hand writing, and great videos. Keep up the good work :)

I've gone through all three of your "Finding all the Zeros of a Polynomial" examples. I have a math test tomorrow and this has been helpful :) thank you!

Wow, thank you so much for making this video. I just learned this in class this morning, and I was the only person in my class who didn't understand the lesson. This video was incredibly helpful. You either explained it much better than my teacher, or I was still half asleep when he taught it to us. :) Again, thank you!

This is SO much more understandable as a method than what we are being taught to do in class. Thank you so much. You just saved me from having to re-take a class next year!

@patrickjmt

8 жыл бұрын

+wowazowgirl my pleasure! glad i could help ;)

YOU'RE A LIFE SAVER. I'M STUDYING THE NIGHT BEFORE THIS MATH TEST!

Patrick JMT. Ignore all - ve comments as I've found this tutorial a great help. This will really help me in the future, when I am trying to factor and then state the zeros of cubics and higher degree Polynomials. By the way, if it wasn't for people like you, who give up their free time to help others with their Mathematical issues, then we'd all be worse off, so to speak. Thanks. Dominic

This is a great explanation! It will definitely help me on my test this week! Thank you!

Your explanations are absolutely great. Thank you so much.

OMG I FINALLY LEARNED THE TECHNIQUE! THANK YOU FOR THIS!!

This was more helpful than learning it from my teacher. Thank you!

Thanks man. I was absent from school last Thursday when we learned this and you know how helpful the math textbook is when explaining things...anyway, thank you for your help!

oh my god thank you!!! i have a Precalculus test tomorrow, you are a life saver !!

Dude, ever since I started watching your videos my grade went up from a C to a B in Pre-Calculus. No lie. You make things sooo much simpler!! I LOVE YOU!

thanks alot pato!!!! that really helped a whole lot, big up!!!

How do you know that (x-1) is a factor and where do you get it from? I don't quite get that part.

Wow thank you so much. I was struggling with this and your video made it crystal clear to me

Great... studying for my CSET, haven't done math in 5 years, this is a great refresher! Thanks!

You have no IDEA how excited I am!!! I am doing online College Algebra (teaching myself basically) This was amazing! I've asked multiple math majors and this video explained it in the best way possible to help me!!! THANK YOU SOO MUCH!! I might just pass this test!

Thanks Patrick! You did good job helping me...I am really appreciated.

Thank you so much man! Thanks to you I got a 93 on my Precalc Final.

@nickd.2449

5 жыл бұрын

Luis Santos good work

Youre such a great help I got an exam tomorrow. Just subscribed :)

This really helped with my College Algebra homework! Thank you!!

Patrick, thank you very much for helping out and sharing your knowledge. u rock! you rock for many reasons but especially cuz of the fact that you explain something thats very complicated (according to the books with all their confusing notations), in a very simple and understandable way :) I don't excel in maths so well, but you're making it possible for me! thanks /// random guy from sweden

I usually do this by finding the zeroes just by plugging it into the calculator, how would I apply synthetic division if I get an odd number of solutions?

you can also plug the equation into the calculator and check the x intercepts to make the problem easier to find the possible roots and solve using synthetic division. This is so helpful!

This is perfectly what i needed to learn. Thank you so much. :* please upload more. :)

Thanks a lot for breaking the process down. Now I understand the Rational Root Theorem better. :-)

Does the factor always have to equal zero? For example, say you used f(3) or something and it didn't equal zero when you plugged it in, does that mean it is not a factor?

Thank you so much!! I was on verge of breakdown, but now I get it! Hopefully my test tomorrow goes well...

How do you know which roots you have to check first? I can't be sitting around, checking for 50 roots per problem.

THANK YOU SO MUCH my teacher really doesn't know how to make me understand this stuff... i've learned this so much easier in like 10 minutes from you than from a whole month of school with my teacher! really, thank you (:

@patrickJMT look man . you're the best !! for the first time in my all exams Iget full mark .. Thank you from the depths of my heart

This fit nicely in with my adv functions class right now. I missed a week of school getting knocked on my ass by a virus. Factoring was always a weak spot and then this came along... Thanks again!

is that really the best way to do it, find all the factors? and then plug them in one by one? is there a faster way?

Patrick, so from the list of rational roots you just guess and check until you find a factor and work from there? How do you choose which values to check.

This was very helpful! Thank you! My math teacher is way too smart so she has no idea how to dumb it down to a standard I can understand! Keep these vids coming 😜

You are so great! Thank you so much for this resource!

You are the best youtuber for maths tutorials ✌🏻🙏🏻 My concept got cleared

I seriously love your videos. They are literally saving my college alg grade and I am horrible at math. Quick question... when you wrote all those numbers in that plus or minus bracket, how did you come up with those numbers? Specifically, why are there so many of them that are third fractions?

thank you so much for your videos, i was absent the day this lesson was taught in my class and my friends' notes did NOT help me in the slightest. this really is a lesson that has to be taught verbally

You and people like you are going to help me pass my precal test. Godspeed, sir.

Thank you for making such clear and simple videos. Wish me luck on my midterm in an hour.

how do u choose which number to start synthetic division? what if there are 100 possible ration roots? is there a better way to choose a number to start?

Thanks! This helped me with my pre-calculus.

Thanks Patrick for such a wonderful video!

@patrickjmt

6 жыл бұрын

you are most welcome :)

what's the factor for -3x^4+10x^3+20x^2-40x+32 ? I cant find a factor.. i followed what you did in the beginning of the video and I still dont get a number to make the equation 0...

can you show an example of how to do a synthetic division to find all real zeros with a leading coeffitient x^6 . i having trouble with a problem like that

what do i do if there is no number at the end without a coefficient? Ex. x^2+4x

Dude, you are better at teaching than my professor is. I cannot express how thankful I am for your videos, and how angry I am that my university chose to hire someone who cannot speak english or dictate coherently.

That's cool You're left handed! I was born left handed but 2 years of training with my off hand I became ambidextrous. Left handed power!

This just helped me study for a test I have to pass.... Thank you!!!

thank you so much , it was special way to introduce , I like light on the papers, It makes their color beauty, and the most important i have understanding this lesson last , thanks a lot ❤🌷

maths was my favourite subject school - i was getting close to 100% from year 9 to year 12 but then I got pressured to do pharmacy and pharmacy in australia is by far underpaid compared to the US so I have reverted my career to medical statistics (biostatistics) - i have used your video patrick as well as khan academy to help me revize my maths - thanks for all your help. i havent done maths for over 12 years

Although it is out of context being discussed,can you please tell me how do i find all the solution of a equation like 3*sin(x)+x*sin(3)=10 or tan(6x)-log(x/6)+x=7

Great video! I lost the notes from class and your video helped the most compared to others

@EliteNz3

10 жыл бұрын

Bronies, Bronies everywhere.

great tutorial ....but what if the all powers are in negative term like (x^-4) hope you understand what I am trying to say....can I use the same method for that one too?