Solving Polynomial Inequalities

[@TheOrganicChemistryTutor]

Algebra - Free Formula Sheets: bit.ly/3CBeZMY Next Video: kzbin.info/www/bejne/mZu7pJh7hbVsrMU

[@NafiruMoshood]

Please can you like make a video playlist of all your videos on subjects respectively

[@nanothefruit8063]

THIS GUY IS SO GENEROUS IT IS BECAUSE OF PEOPLE LIKE HIM HUMANITY IS ALIVE LOVE YOUR VIDEOS

[@azizziyovuddinov]

True😊

[@godiseverything1482]

Facts.. I am GRATEFUL 👍🏽🙏🏽

[@marcusinternet]

you explained to me in 12 minutes what my teacher couldn’t explain in 90 🙏🏼

[@terriertenacity]

I spent an hour with my college textbook and you did in minutes what it couldn't do at all. Thank you!

[@Baskl757]

He explained in 12 minutes what my teacher explained in 2

[@monsterlordgaming6317]

Thats why we see yt

[@nic2272]

facts

[@darkking0727]

At least your teacher tried... We ran out of time so she just gave us our worksheet with 11 of these problems

[@todddevere8597]

You have saved my grade in math so many times- thank you from the bottom of my heart for doing what you do

[@金森幸子-p3x]

I have an exam in half an hour and I'm trying to relearn everything because I didn't understand the first time. Thank you for this!

[@Yahoooo.1]

How did it go ?

[@ShauryaBaloni73]

​@@Yahoooo.1From the time you asked, he had given that exam 2 years ago, he would hardly remember the result 😅😅

[@Elisarrrr]

@@ShauryaBaloni73 bro probably graduated lol

[@dylanspinks9338]

how much quicker i learned this from you rather than my own teacher is crazy

[@IMathTutorial]

It's the best tutorial.. thank you

[@clarawilson3326]

ive been trying to do these for 2 weeks, 2 videos anf boom ik it all

[@raptordriverandwife]

this makes so much More sense than how my teacher taught it!!! thx

[@ngoemma8215]

JG, how I wish I know u in person. I really find it extremely difficult to describe how gifted and important you are to humanity! Please, continue with this good tutorial work bcos generations unborn that are yet to come will also watch these videos and keep thanking you forever! What could be more than that? We deeply hold you in high esteem bcos you've been doing what our lecturers and Professors couldn't do for us while at colleges and universities. Thanks man!!!

[@jlobz_8128]

tip: you don't need to solve all 3 regions, just solve the one on the left. once you solve it, then the region to the right will always be the opposite sign of what the first one is and so on

[@kiwistuffypistachio2558]

I’m gonna comment on this so I can remember

[@mistadude]

You can also solve the one on the middle or the right too the right might be easiest

[@reallybad7062]

Another tip: sometimes inequality can have more than 3 sections. Just make sure you solved all your roots, then you can assume.

[@sirdele]

i always check 0 and then one of the regions checks out

[@sarmadsultan7981]

Can you prove it? Generally. Not with examples! 🙂

[@plutoqueen7295]

i didnt understand what my teacher said for a whole damn week and u explain this in just 12 mins 🙂💀 thank you 🥲✨

[@arianepalaruan5208]

Your videos are so underrated! I hope a lot more people visit this channel

[@veronimacaroni1382]

thank you so much. I hate math but I always feel excited when I finally get the answer right, and this video helped clear things up for me so that I could get there.

[@dontmindme4466]

omg same

[@tunchiwrld2787]

Ur a blessing to my Math CA's

[@OhmVibe]

Always struggled with this concept, but this really simplified it for me!

[@TheEpicKitty]

my calculus teacher completely skipped over learning this in class and even included it in the review for my test coming up. Thank you, you've saved my grade!

[@castlerock7423]

Yeah, aren't they assholes? That's actually fraud, and you should use that word.

[@South.Florida.Aviation]

This is better than any math teacher I have ever had

[@monlis945]

You just saved me from a monstrous exam. Thnx

[@Genny4realyO]

love your videos. You make learning precalcus easy !! I should pay you instead of my professor

[@aaronzh267]

I am really appreciate your explain ❤ thank toct

[@HeatherHolt]

Pre calc final in a few hours. Can’t sleep. Always kno I csn find info here, well explained and accurate. I am thankful, man.

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for a fantastic video/lecture on Solving Polynomial Inequalities in precalculus. These are strong analytical tools for all levels of science and engineering.

[@beigomaacademymathsclub5873]

Give this guy a medal.

[@khanyisatsh.]

THIS GUY IS THE REASON I AM PASSING MATHS!

[@robvinsky]

I didn't even need to watch the whole video to have a better understanding of this topic than what Aleks could provide

[@lianhua3608]

Thank you sooo much you saved me with my math exam! 😭😭

[@utkarshkumar7667]

And finally I got the concept.....thanks!!!😊☺

[@braintime9225]

9:50 How did u divide like that??? I only now long division help pls.....

[@releiabby6201]

An amazing teacher! You make everything appear so easy! Thank you soo much

[@orange4726]

Teachers take hours to teach us this and this guy teaches us in 12 minutes clearer than any teacher.

[@charlesbing6753]

Bro you ducking saved my butt i got a math test and it’s like 12 thank you

[@ashley4591]

THANK YOU FOR SAVING ME I HAVE A TESt ON THIS TODAY AND WATCHING YHIS VIDEO RIGHT BEFORE TRULY HELPED ME SO MUCJ MORE THAN MY MATH TEACHER EVER COULD

[@eugeneassoahmorcher2042]

I'm from Ghana in Africa , I wanna say thanks for your good works , you've made me simply impossible to understand ❤️🙌

[@eugeneassoahmorcher2042]

Impossible to not understand

[@deltarider5863]

Thank you I understand your explanation 100x better than my teacher. Probably because she tried her own video instead of giving us a video.

[@lcvender7127]

OMG I FINALLY GET THIS NOW THIS MAKES WAY MORE SENSE TYSM

[@deemuotori]

you just saved my math grade!!!

[@miffyn1737]

And my life from being beaten by my Asian parents

[@kirbyjames5837]

Our exam will be conducted tomorrow and im struggling in solving polynomial inequalities but look what I have found. Thank you for this video. It really helps me a lot.💖💖💖💖

[@MathewWuzHere]

You always explain it so well. Awesome tutorials.

[@okman1665]

Thanks for saving my interest in calculus like inequality , domain....

[@f.a3202]

is this done in calculus in college? I'm in high school and I'm doing theese. now i feel a little more confident

[@MS-il3ht]

@@f.a3202 not really

[@zainab_tasawer]

Omg you are god gifted I wished I had a teacher like you 😑 My teacher couldn't explain this in a whole damn week And you just made me learn this in just 12 mins 🥺🥳🥳

[@bromskiii4017]

Bro thx ur the best my doubts are clear i found the answer at 5 am but it is what it is love u :)

[@csstuff4922]

Thank you! I had a tiny moment of panic when I forgot these and feel much better now

[@Luketembo3]

Ahh yama muli bakulekafye , Amano too much, imwe fyonse mwalikwata data. Jahman juice mwemfumu jahman juice. Imwe takwaba ukumichila tata. Keep up the great work.

[@officialBigCW]

Your better than my professor

[@WeBrokee]

This video is so helpful you explained it better than my teacher did. thank u so much!!!!!

[@ShelbyMania5058]

you just made the hardest thing on math look very very easy THANK YOU!!

[@ydg_me]

Dude the hardest thing on math Seriously?

[@hetvaidya5951]

You have solved my all doubts in first 4 minutes, lol. Thanks

[@Gobbedlygook]

Way better than what my professor taught me.

[@aurumon]

Hello, @ 3:33, why is the answer "or" and not "and"? Doesn't the union sign in the interval notation mean "and"? Thank you.

[@Anirudh-cf3oc]

Very good technique and explaination.

[@deltasi]

I finally understood this after a week in school

[@luckymusukwa3372]

You are the best this is well explained

[@Itz_jazz]

Thank you so much for your videos, they are the bests ones ever!!!!!

[@nightsedge5719]

You’re a good man, thank you.

[@saveoursquirrels4241]

In factoring by grouping, what if the groups we're left with aren't the same? I ended up with x^2(x+10) - 1(11x+180) from x^3 + 10x^2 - 11x - 180

[@kroses_]

my brain cannot handle this🥰

[@benthompson4669]

🙏 I have stepped into the light

[@ronveronair]

At 6:09, are you using the zero product property to get those answers?

[@linkercasas1004]

Thank you very much, Julio! Your videos are incredibly helpful! Keep up the great work!

[@peaceb680]

Thank you so much!!! now I’m ready for my test:) thank you

[@mercier300]

Thank you so much! My teacher did such a horrible job explaining this! But you were fantastic

[@castlerock7423]

Ok, I have a question. Instead of using the Rational Zeroes Theorem and then moving to Synthetic division, why didn't you just use Synthetic division to begin with as it gave you the remaining factors of the Quadratic? Wouldn't it be easier to do it that way? Also, I just wanted to say thank you for being here. You're wonderful.

[@leomi5395]

W końcu znalazłam przykład który mi pomógł bardzo ❤

[@Pajoker1998]

keep up the great content

[@crazyfoldz2040]

Thank you so much. This really helped

[@Pianomantodd1]

What happens if your factors are the same (and are less than zero) and it's NOT also "equal to zero" (in a "less than" situation, or vice versa)? (x-3)(x-3)

[@castlerock7423]

She didn't specify the use of the term "test numbers" which are the numbers inside each interval that was created using the zeroes (or whatever number amounts to the inequality equaling zero. In this case, the zero would be 3, and the interval notation would have to be (-infinity, 3) because if you take one factor of the above you have x-3

[@ryanchiang9587]

x - 3 > 2, x > 5

[@jeremiahyonemura]

I forgot, and this video helped me. Thank you so much!

[@jvh_motivate_mindset]

Thanks you so much, I might just start my own YT Channel doing the same! you are really great at what your doing!

[@seamusmoran4776]

You are a legend thank you so much

[@acv976]

For the problem at 8:45, couldn't you use the grouping method

[@sikelelamahlati5051]

OMW THANK YOU SO MUCH!!!GOD BLESS YOUR SOUL

[@nic2272]

not to be dramatic but you kinda saved my life

[@ShivamYadav-or3qk]

You make very helpful video for initial

[@dreivonfunf9489]

Thank you so very very much for clearing up this concept for me! You are a Godsend!

[@allanbandaie5690]

I wish if I had watched any videos from u Am a student at MALAWI polytechnic I love your videos and I succeed coz of them

[@sofis8927]

Great teacher!

[@myleswilliams3345]

I appreciate your videos so much since I started watching your videos my math grade has shot up and the only person I can thank is you keep up the good work

[@joeleapen8298]

For the last problem, isn't it x=-1 instead of x=1, because when you do synthetic division you're putting the "h" from "x-h" on the upper left corner, so in this case where we have 1 as our "h", wouldn't it be "x-1" and to solve for that value of "x" we had we just set "x-1" to 0 and solve from there, so it would turn out to be "x-1=0" which turns to "x=1".

[@DarkMatterr]

You assumed -h is being used in synthetic division accidentally. x-1=0 so we use 1 in synthetic division. Same goes for finding the roots since the root is the number being used in synthetic division if it's not an imaginary number.

[@shayananjum2131]

U saved my life

[@Drdominguezc]

Thank you!!! You have helped me a lot!!!

[@dbharathi2003]

Thanks for taking the time to explain to us. Neatly explained

[@elite7585]

can someone tell me why the sign doesn't change when the multiplicity is even? pls 11:40

[@justinsantos5751]

After finding the points where y is 0, I graph it and it is much faster. You just have to be familiar with the graphs and plot the points where y is equals to 0 only. Works better for me.

[@lindo5100]

I do the same

[@kazeembakare350]

I'm very grateful, you have done me a lot of good things, I appreciate 🙏🙏

[@sebastiannieves5472]

6:45 please explain multiplicity and why does the middle have to be positive.

[@danielramirez-gaston6652]

What he means by that is the behavior of each zero. Since they are all one, they go straight through the x axis each time, which also means that the signs alternate

[@BoodyProGamer4673]

Thanks u so much u are a great math teacher

[@ngoemma8215]

Great job man! You're wonderful!!!

[@castlerock7423]

It's a woman bro.

[@DeeJayFuego]

What is the rational zero theorem?

[@pillowyflunky9931]

thank you sir

[@MasiKarimi]

Thanks for the info!

[@ricardokenneth456]

wow u are really good man ..keep on uploading more videos

[@tarboozz]

Amazing video, thank you!

[@pacoonglet2384]

8:04 morning I'm watching a video of polynomials in the train.

[@mandipkaur8510]

Very nice from yadwinder singh .

[@flaiirenn]

HE SAVED ME

[@abhishekkumarjha990]

Thanks great video solved my all doubts

[@gofu9244]

Aww man our teachers should take a couple of tips from you

[@mr.papalavaskia9795]

Your a life saver.