Factoring Polynomials - By GCF, AC Method, Grouping, Substitution, Sum & Difference of Cubes

[@TheOrganicChemistryTutor]

Factoring Formula Sheet: bit.ly/4dFNZJ8 Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

[@bramhuysen5907]

Not only does this guy (I wish I knew his first name) masters Maths and Physics perfectly, but his pedagogy is absolutely fantastic. You need to be highly talented to explain things the way he does. And that's only half of it. He is modest (never appears in any of his videos, you only hear his calm voice), not looking for fame but just doing his best to help students, always goes straight to the point without useless blah blah, with simplicity and tons of examples, thus making every lesson extremely enjoyable. In addition, he is a hard worker: if you visit his channel you will see he has made so many videos it's difficult to count them.

[@jodiecayanga1763]

his name is julio gonzalez:)

[@kaitlynescalante8599]

Yes and even apologizes for his mistakes. Like, he spent 45 mins explaining this stuff for free, and profusely apologizes when he makes a mistake. Talk about humble. Thank you so much creator of this channel

[@benyart4291]

@@jodiecayanga1763 omg thanks i'll remember his name on my entire life

[@Sir_Isaac_Newton_]

I disagree that him showing up in his videos would be him "looking for fame"; in fact, who knows: maybe that would make his videos better.

[@elbashar7589]

Unlike Cunt Academy

[@cam3760]

I don't know why my grade 9 teacher didn't initially approach polynomials like this. Learning how to factor efficiently and properly is so key moving forward in High school math. This video is really helpful.

[@AMan-ct1gu]

FUCCCCCK THIS IS ME RIGHT NOW

[@mademoiselle1542]

they teachin this in 8th grade

[@dyouz9dr]

@@mademoiselle1542 THEYRE MAKING GRADE 9 RELEARN THIS

[@ttteo2771]

They don't teach how to factor in 8th or 9th grade like this because they teach you only formulas..... 4 or 5 I remember. They don't teach you the mechanic of factoring until college. I hated 8th grade and 9th grade mechanical approach of factoring.

[@ryanmccaffery9027]

@@ttteo2771 yeah same I’m in Algebra 2 trig and this is a good refresher to relearn factoring for future concepts

[@cheyenneb4263]

i love being 19 going into calculus soon and not even remembering how to factor

[@RamyElkadi]

you're definitely not alone

[@ranasiaclark8030]

I’m going into calculus 2 and I’m 19 too. I still have trouble with this subject to this day.

[@kNIGHTll1]

I didn’t even learn how to factor and going to college

[@deppdep6696]

Omfg same

[@mprl819]

@Karla Vazquez lmao, that's literally me rn

[@ShaniaOcampo]

MY DUDE. YOU HAVE NO IDEA HOW YOU HAVE BLOWN MY MIND. IVE STRUGGLED IN MATH FOR THESE PAST FEW MONTHS BUT I CANT BELIEVE YOU HAVE HELPED ME WITH ALL MY LESSONS IN 45MINS. YOU are a legend.

[@GrieferTheSpleefer]

Looking at this a day before a final

[@3sty216]

Have to do some problem solving

[@RoyontheHill]

Mine is 30min away

[@ayymiiiee]

same dude

[@edigetgetachew8371]

Same

[@rundmc948]

same lol

[@matthewgillespie2835]

Unbelievable. Can't believe I didn't find this channel until now. I love these long videos that go in depth from easy to complex on big topics such as factoring. You are a gift

[@gabesusman4592]

1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00 2. Factoring polynomials: 3:40 3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47 4. Factoring trinomials using trial and error: 12:14 5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05 6. Factoring polynomials by substitution including negative coefficients and exponents: 7. How to factor cubic polynomials using sum and difference of perfect cubes: 8. Factoring polynomials expressions with 4 terms by grouping: 9. Factoring polynomials using sum of perfect of squares (radicals): 10. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors: 11. Factoring trinomials by completing the square: 12. Factoring advanced functions containing multiple variables:

[@ASAPFranklin]

fucking legend

[@BLISSOFFICAL]

🙌Thank you, this is very helpful!

[@guilhermecarneiro4711]

I was about to do this

[@pineapple8055]

Thanks bro, you’re a real one

[@pinkman17_]

@@vintagescvrlet u always looking up the last minute istg

[@REA_Music]

You're literally so much quicker and detailed and much more clear than my professor. We're reviewing this and you're so much better at explaining.

[@pumitriii6160]

Amazing how a 45 min math video can help you understand more than 8+ hours of classtime

[@gonewrong1219]

anyone else in grade 12 academic trying to learn factoring again lol

[@hahahahaha9764]

We going to have a 30 seconds time limit for factoring

[@kiratmalhotra6354]

No I’m in grade 9 trying to learn it lmao

[@beepityboop7325]

yeah, lord i hate factoring

[@aquiamorgan2416]

I'm in college 10 years later trying to relearn it. Ugh. I thought I was done with this. Nope. Whatever they tell you about never using it again, its a lie.

[@blobfish5186]

I'm 30 years old learning factoring again

[@victoriam1207]

Love this ,I learned this 37 years ago .I just need to review some of this .It’s one of my favorite .Thank you for sharing your time teaching all of us here .

[@xan2199]

Hello! I’m a grade 7 student, and this has been really helpful. Thank you very much!

[@randapanda4201]

Y’know, it’s ironic how an ad about math videos that “actually help” popped up. A video can’t get much more helpful than this one.

[@alaynaguzzi2017]

You're really saving me here, Organic Chemistry Tutor. I didn't work hard at math in highschool, as I planned to go into the trades. A few years later, I needed two hip surgeries (at 21!?), which changed my plans. I decided to follow my passion for nature and the environment. I know I'm destined to be a scientist, but unsure what I'll do as a profession. I'm starting university and I realized I had degraded to a fourth grade level in mathmatics. I learned from watching you. You taught me. I couldn't multiply two fractions a few days ago, but now I'm neck deep in algebra and understanding it. If I want to work for our planet, I need to understand this math. Thank you, thank you.

[@gamespotlive3673]

I needed a refresher now that school is restarting and quarantine has made me forget everything. Relearning basically the entirety of 6th grade gang.

[@numbertheorytv1158]

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[@adeebr6639]

They taught u this is 6th grade? damn, I learned in 7th

[@PlsStandBy]

**Completed Timestamps: (credits to Gabe Susman for providing the first 5)** 1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00 2. Factoring polynomials: 3:40 3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47 4. Factoring trinomials using trial and error: 12:14 5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05 6. Factoring polynomials by substitution including negative coefficients and exponents: 18:09 7. How to factor cubic polynomials using sum and difference of perfect cubes: 23:46 8. Factoring polynomials using sum of perfect of squares (radicals): 29:05 9. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors: 31:18 10. Factoring trinomials by completing the square: 36:18 11. Factoring polynomials expressions with 4 terms by grouping: 41:37 idk if these are correct, I just control-F'ed the whole thing, so let me know what I can improve on if u see any errors with this :) happy studying everyone

[@kamilasoto6804]

I love your voice its so soothing

[@alexandreacarrillo3221]

i love his little accent

[@leslie7872]

he has no accnet

[@mazenkhayat9309]

I loved it , it's pretty long 🙂

[@ryadeldogeshy5827]

hell yea

[@lucapointcom]

It's funny to think that Mark Wahlberg does this in his free time, such a diverse man!

[@hermitcard4494]

❤️ Everything is easier when you can pause, rewind, repeat, etc a video, instead of a real life teacher or a real time streaming.

[@sal1096]

Did I say THANK YOU?!, you are a life saver.

[@farhanahahmed600]

This is was SO helpful!! Thank you! *subscribes*

[@PhuongHoang-or2xw]

farhanah Ahmed i

[@apollonmegara8220]

Came back here, because of pre calculus limits

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this guy is the only thing that is keeping me from dropping out

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Don't drop out, life won't get easier, youll just LIVE, without a highschool diploma, can't apply to millitary, police, can't go to college, just stuck with fast food jobs.

[@daydreamsinmusic3050]

Thank you for all the great videos you make! You are a very good teacher.

[@Abbas-xd7xu]

Thank you. I'm in 7th grade taking accelerated math and it sucks man 😭 this helped a TON tysmm

[@Rhyff]

Very useful method, will definitely help me in my Linear Algebra exam tomorrow!

[@adamthomas9103]

How was your exam

[@ahazzamayoub9218]

you are the best teacher you have to address the greatest number of possible factorization cases thank you soo mutch

[@kgbetakg]

I have NEVER understood factoring and this literally just made it all make sense. THANK YOU THANK YOU THANK YOU

[@yeonhwabang5294]

Wow he has talent for teaching!! This video contain from basic polynomial to advanced.

[@sheehandat6345]

Can you please explain to me how he took the variables from each term and made the degree of the variable go down? An example would be at 2:55 - 3:32

[@mashirosan4995]

Im learning more here than my school math teacher

[@Basic-Tron]

Studying during quarantine! This is a great advantage for me! TOOK ME A WEEK TO UNDERSTAND EVERYTHING IN THIS ALGEBRA COURSE!

[@abristy607]

'-'

[@sheehandat6345]

Can you please explain to me how he took the variables from each term and made the degree of the variable go down? An example would be at 2:55 - 3:32

[@JerJerBear17]

I think I actually might cry omg this explains everything i was so confused because i'm taking online school and learning factoring and my online professor made completely no sense but THIS I- thank you so much this is so helpfull

[@audrinadobrevic6207]

Thank you for your amazing videos. You've helped me get through both pre-calc and calc.

[@fairytail6152]

I suck at factoring polynomials bcos i dont listen on my junior year math subjects but here i am watching this tutorial to cope up. IT HELPS A LOT THANKS

[@twocall944]

You're the sensei of our generation ❤

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another awesome video on Factoring Polynomials using different methods. These are powerful methods in basic and advanced mathematics.

[@camaravanyannick7769]

I'd bad marks in class but after watching the videos of this guy my life changed (I mean my understanding in class) Now I'm better than those who were better than me)

[@francisjemaguilar8317]

Thank you for saving me about this topic. It was so hard especially our teacher literally is so fast when teaching this.

[@904nighthawk]

is better to do the binomial (200x^4 - 288y^6) the way he did it or should i continue doing it using GCF first?

[@ilikechez6488]

18:08

[@igiveaflyingnutsack]

Bless your soul fr

[@frostwind6287]

Why

[@jackilynmonton7851]

Okay bless you

[@marcusmors8485]

higher degree polynomials factorization 31:18 He uses ruffini factorization with a list of possible factors given by the rational roots test. Best vibes for the one who discovered or created that test. It saves me a lot of iterations in my ruffini factorization program

[@dilaxihar9591]

Wow! I learnt a lot from this video! THANK YOU, I was behind on my algebra skills but now I think I'm way ahead :-) xx

[@picture669]

now watch a video about grammar:)

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Savage level 9999999999

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@@picture669 you need to watch a video on how to stop being annoying

[@picture669]

the spice king channel eh

[@sacmastonline7810]

His a good explainer l like watching his videos

[@blancagavina818]

Thank you sooo much. Everything is so clear!!! You are so good!

[@thebestmathacademy8838]

Incredible videos

[@jeremyfrancispiano2]

If youtube had an awards ceremony, you would deserve one.

[@trippiereddisfuego2930]

I used this to do my hw I still don’t know shit

[@laytonvansickle3693]

I just started taking college classes again and I used to love math but relearning it has been stressful. This video helped so much! Thank you.

[@sofresh4life]

Best factoring vid on YT. Thank you my brotha

[@sweetkittykat2000]

Use the SOAP method for the trinomial cubes. It's easier to explain.

[@hannahssilentvoice9161]

Hannah Noneyabiz what's the soap method??

[@TheJoey3590]

Harrah's silent voice Soap method helps you remember what the signs are in the factored form.

[@hadassah1965]

@@TheJoey3590 Could you explain the SOAP method?

[@TheJoey3590]

@@hadassah1965 Use SOAP as an acronym to remember the signs when factoring sums or differences of cubes - SAME OPPOSITE ALWAYS POSITIVE. Going left to right. Say you had the sum of two cubes : (A^3 + B^3) and you wanted to factor it. You would follow this template : (A B) (A^2 AB B^2), but you forgot the signs. Following SOAP, the first sign would be the same as (A^3 + B^3) which is(+) therefore : (A+B). For (A^2 and AB) it would be (-) making it (A^2 - AB) because of the O in SOAP meaning opposite of the first sign, which was positive. Lastly, for (AB and B^2) the sign would be (+) because (AP) means always positive. If you followed all the acronyms correctly, you would end up with (A+B) (A^2-AB+B^2) as the factored form.

[@faerinted64]

i learned 45% of the entire math in just one video! thx so much, you're a literal life saver!! T~T

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Lol lol it helps engineering students too 😂😂😂

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iamrao31 07 yup

[@nobuhlenkosi1518]

looolll so true

[@ixionn563]

Ignore all the depression comments, this is actually a pretty well put together video that you can learn a lot from, it's pretty relaxing too, just pay attention. Really helped me catch up in my Algebra 2 as I was sick for a long period of time. Thanks.

[@marisolromero560]

THANK YOU SO MUCH I HAVE A TEST TMR AND NOW I GET IT!!!

[@mohammadaffan3370]

You are the greatest youtube I've ever seen

[@kayleneetahn8259]

this is like an entirety of my school year's lesson WOW

[@djalitanaful]

OMG, after 3 days I finally got the point. thanks a lot

[@IdiotGamerz]

are the brackets necessary for the factor?

[@farhanahahmed600]

XxIdiotGamerzxX yes so they are separated and don't get mixed up

[@Todaywalnut]

If you don't separate the terms with parenthesis, brackets and braces, you'll mess up everything in your calculations

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It depends if ur rlly good at it

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This guy saved my semester :))))

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join membership to support his works. do it and enjoy the best tutor on the world.

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I am in 7th grade and can undrrstand a bit of what his saying, this guy explains things super nicely, nj

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Thank you very much,, you had rescued someone's life ..... 😊..... 2keep going goodjob

[@selu2001lioness]

I actually have a good math teacher, but she moves so fast and her sarcasm is slightly embarrassing. KZbin is going to get me through Math 101

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This is the definition of a human clutch

[@GoldoGolderson]

I missed an inportant day of explanation at school. between this and your other video I'm extra prepared. I really appriciate what you've done

[@dylanohernandez5367]

Thanks for the video. This will help me prepare for the sat next year.

[@physicguy92093]

In the end you can also factor like this by compleating the square [(y+z)^2-2zy)](x-1)(x+1), so basically i just did this (z^2+y^2) treated them as one a and one b and by the formula i just subtracted 2ab or 2zy as i showed in the begining

[@luislora2544]

YOU ARE SO GOOD IN TEACHING MAATHH!!!

[@persephanie19]

again...you saved my grade! thank you!

[@cookieee6313]

i learn so much from you than from my actual class

[@kirino8692]

Learned this last hour before the exam wish me luck😅😅. I love the way you explain BTW I understand everything perfectly.

[@mlbbdukependragon]

THIS WAS SUUUUPER HELPFUL! THANKS A LOT! KEEP UP THE GOOD WORK!

[@CaptainRagnarok15]

You just earned your self a sub!!! best math youtuber 😀

[@cake7126]

he post anymore?

[@jamesbarnett5236]

Incredible videos...hands down the best factoring material I have been able to find online.

[@study4life14]

This guy is the best much respect to him!!

[@Hardstyl3r17]

got an exam in 20 days, nowhere near ready and having to work till exam day, well trying to workout a miracle, great vid although, a lot clearer on everything

[@vanquishedcanadian6424]

I love the way you explain this buddy. Right on.

[@itsTenma]

What ever happened in 40:50 made a stressed student laugh for a bit. Thanks for the vid!

[@mexaboo_4984]

i listen to my math teacher for 2 weeks i understand nothing i listen to you for 45 minutes i understand everything

[@andrescientos]

The whole concept of "Factoring Polynomials" is basically like selecting two interdimensional shapes from some kind of magical bag and then disassembling them to their basic one dimensional components to eventually form a one dimensional "phrase" that represents both "if" combined.

[@Astrothunder_]

“basically”

[@gehadyasser1001]

Ur videos r awesome!!! they've got everything covered!!!thnxx a lot

[@warhead193]

You are better than most of my math teachers.

[@thebestmathacademy8838]

Excellent video

[@sire6551]

last time i took math was during my junior year of highschool and stop during the middle of the year, i am now a freshman in college and i’ve never been soo lost

[@Top_Corners3]

very useful and good explanation

[@rexlyn2287]

thank you omggg the finals are almost hereeee now i can understanddd

[@starabrargaming2317]

Best teacher

[@sanjayramharrack6354]

awesome teaching, at this rate, just by watching ur videos, im sure to get a range one in add maths

[@djalitanaful]

my mind was melted at the end. can't get it where the 4th factor came from. anyway, 99.9% was very useful. thank you so much.

[@arianepalaruan5208]

Man, I love this guy.

[@olegkudzaev]

Man this was brilliant. Much easier to understand than my 70 y.o. professor speaking thru the mic. Thanks a lot for this thorough explanation

[@yourstandardgoogleaccount303]

And it's easier to understand than my mumbling professor that can barely speak English lol

[@toheedmalik2238]

@@yourstandardgoogleaccount303 username Fitz pretty good to yo comment

[@Rajivrocks-Ltd.]

This guy is factoring like he is a computer. I hope I'll be as fast as him after a lot of practice.

[@thebestmathacademy8838]

Excellent video

[@hansgabrieldolot5724]

Thank you for making this video! It really helps me on my Math subject struggles😁

[@lsjdjjkdjd]

This was very detailed but simple & easy to understand! Yall saved my life for real 😂 I actually get it wtf

[@vhageman9510]

dummy clutch day before a test out here with the shot clock cheese mad helpful

[@seeyouinthedark7427]

You are a life savior whoever you are mister, thankyou i may now rest in peace

[@youreandyourarentthesamewo6939]

Whenever i need to learn math,i go here because i can understand it clearly.

[@linusdamianarel]

Thanks For this video I like it!

[@Zincaroni]

Bro taught this in such a simple and easier way then my teacher who taught this over the course of 3 days… (then does a test for the whole unit of factoring 😭)

[@nikkinicole4990]

Anyone else understand math perfectly fine but don’t remember it? Like I legit had to review long division yesterday, not because it’s a confusing concept or hard to understand but like I hadn’t done it in YEARS I forgot lol.

[@nathanielhermanson3110]

@The Organic Chemistry Tutor, You are the smart person in all of the videos! Maybe you can be a Chemistry Teacher in College!!!!!!!