Factoring the hard trinomial by decomposition

[chasecr9876]

thanks for walking us through every step; if were looking for extra help how to factor, we probably want someone to EXPLAIN it ;)

[chickenpoper]

I'm in Ninth grade right now by the way.

[chickenpoper]

Lol, I guess I am a pretty smart kid, i know exactly what you did without having to listen

(No sound)

I would be taking advanced algebra 2 right now but stupid high school got something all mixed up :/

[laxinlove1]

Im in 8th grade and doing this

[HppyFce]

If there's no volume, turn it to 240p

[hd425jl97]

is it just me or does anyone else not have audio on this video?

P.S. YES my volume is up and not muted, neither is the video and my audio works fine on other youtube videos.

[iAppleinyourface]

Product and Sum difference Eh? XD

[chaut0]

Grade 8, Chapter 4 out of 14

Hong Kong

[Roblovervollygirl]

thank you soo much have a test tomorrow and trying to learn factoring today! this really helped so much!!!!!!

[cvtavares10]

i wish there was sound

[kat5e1]

thank you!!!! :)

[Beautiful0love]

Thank you very much! I forgot my grade 10 math skills :( lol

[Jennyy571]

thank you so much!!

[AK74uism]

very good explanation, thank you

[Putas101]

we're reviewing this in pre-calculus and DAMN i feel so dumb!!! i TOTALLY forgot how to do these.......

[drphd95]

Thank. you. so. much. Seriously!

[PirateOfTheRodeo]

THANK YOU!

[andrew16793]

To those people with no sound:

WATCH ON 240p!!!!

[007vishy]

hey, i actually liked the audio for this....oh wait

[TheSarcanKnights]

would be awesome if the sound worked

[13Carabear]

you. just. saved. my. ass.

[loitagrl12]

THANK YOU THANK YOU THANK YOU!! you just saved me! now I'm confident about my grade 10 provincial exam!!

[patomargain]

you forgot to show what x equals wich by the way is -1/2 & -7/2

thumbs up so people who need this can see

[InsanityFlies]

Thanks! I can't believe I finally get this! My teacher just told us to guess and check, but you can't do that if you don't understand what you're doing. Thanks a million times!

[gettindowntothe311]

he used no words but taught me so much....

[monroid55]

Change the video quality to 240p, if there is no sound :)

Great lesson! :D

[Sn0wball7]

Bro thanks so much.

[maikelclifton]

no sound. i have a much much easier techique, takes about 30 seconds, idoit proof

[MotionGames]

WTF? wheres the fucking sound?

[Bubbly1337]

...you're a math WIZARD. :D

[colinwar]

i didnt hear any sound but good video.

[npsz9769]

thank you. finally someone teaches me this. 

[Rohloff69]

Nicely done. Trying to study for an exam thats worth 40% of my mark, you saved me some good grief.

[tippmann981234]

It works :D

[nighthawk911575]

thank you so much!!! our teacher showed us this box method but i didnt get it and this is so much easier!

[hattrickster33]

This is so easy...ONCE YOU GET IT. Teachers don't seem to understand that, they just go on about how easy it is and make you look like an idiot if you don't get it right away.

[DeathReaper461]

Anyone having problem with sounds add this code at the end of the url and press enter: &fmt=18

[MrMrWake]

@DeathReaper461 Doesn`t work

[theAlphaAndTheOmega9]

Well taught. You are far better than my teacher, who just mentioned that we "should have learned it last year" without mentioning how to do it at all. A great help. Hopefully this will help me on my....er.... MathA30 test...

[Za7Dom9]

Houston we have technical difficulties with the volume. Hand gestures don't work for me although I appreciate the video you've made

[zRoGuee]

u guys must b retarded and have ur volume off because their is sound and he is talkn

[airindia16]

you're a huge help! thanks! but maybe you could talk to make it clearer

[WoWjessi]

I basically love you. Life saver<3333

[AbbasMoulvi]

thank you so much i would hug you if i was there this helped me so much!

[ascrysis3]

another name for it is the diamond method.

[KatrynaCrabbe]

Add &fmt=18 to the end of the URL and you will be able to hear the audio.

[B51294]

How can there be no sound on this one either D:??? Dude, last year these videos were such a help but now I cant even hear what you're saying :(

[ConornXD]

Thanks man, this helped alot!

[3nnydavid]

heka easy :) 

[Masamuned]

What if it was x^2+3x-3. This is in my algebra 2 book. its telling me to give solutions in both radical and decimal form. Please respond =].

[unj008]

How would you factor 4y^4 - 8y^3 + 6y^2 ?

[jslatwombat]

WHY IS THERE NO SOUND

[theboombody]

I wonder why it won't play the sound on my computer.

[devinechin]

no volume!

[ramsta93]

Is this AS/A Level Maths >?

[minkusbc]

@ramsta93 I'm not sure what AS/A Level Math is. Here in British Columbia, Canada, this is taught at the Grade 10 level.

[uriel17051993]

@minkusbc yes and then its review in grade 11 functions!! if i were you i make this stuck i my head it will make gr 11 chapter 2 easier :P

[loveisanoption]

@minkusbc ....seriously? Im in 8th grade (american) and wer learning this...

[minkusbc]

@loveisanoption I am happy that you're learning this in the eight grade. Surprised though. Are you in a normal class or an advanced class. It wouldn't seem that eight graders are doing this normally in a country where your overall Math ranking is so low. I'm not trying to be snotty here, I am just surprised. Here, in Canada, your typical 8th grader is no where near this.

[loveisanoption]

@minkusbc um...im in a normal class, but don't be too surprised because well our classes test grades, like u said, are ROCK BOTTOM. And maybe that's why your Canadien test scores r better because u spend time actually learning the concept, whereas we fly through the material....

[Comanglia]

@minkusbc I started this in 9th Grade in the US. I think the reason why the US scores so low is because we are taught to reach the minimum federal and state standards and usually nothing more, and so long as we reach it nothing more will be done.

[mcluven10]

@minkusbc i took this in 8th grade too (USA)

[devinkstewart]

@minkusbc Ouch I may not Have been in AP but I could do this in grade 8.

[WeXyst]

@minkusbc thats possibly why their overall math ranking is so slow they have to learn far more advanced stuff than we do at a younger age.

[smilesRyummy]

@loveisanoption we're doing this is 7th o.o

[loveisanoption]

@smilesRyummy yeah, we have a 7th grade glass at our level. But we've moved on from this stuff, we're doing quadratics now. EWWWW!

[mimiru1995]

@loveisanoption I'm in 11th grade and were learning this.

[mimiru1995]

@mimiru1995 Attatched to parabolas , vertex , intercept and standard form. But still

[atrays]

You are the best Math instructor that I have ever seen. I have tried for days to understand this. Tomorrow our teacher who is good I am anxious to see how he explains this topic. I am sure he will not tell us the way to understand this better, a million thanks, and please leave this video and others on u tube

[sapphiregorgeus]

thats it, its official, if i EVER get confused EVER again im coming to YOU!

i will pass my exam thanks to you! :D

[817539]

Wish I had smartened up earlier and looked into your videos, you have great teaching skills and I can affirm that they do not go unnoticed, thanks tonnes for this video and for the many others.

[sk83r983]

what if the trinomial is 49h^2q^2-121k^2?

[paintedagape]

THANK YOU THANK YOU THANK YOU!!! This has been driving me CRAZY all semester and now, the night before my exam, I GET IT!!!!!!! I would send you flowers if I could!!!!!!!!

[ahmad150cc]

thank you so much omg now i get it

[Jarrodmontelius]

ty sooooo much,

[burnmess]

What about this answer:

(2x + 14) (2x + 2)

That's what I got.. and I'd like to know where I went wrong.

[niel423]

Factor 3x^2+6x-5

^_^

[Ngelcanfly]

Thank you so much, you've just made it so easy for me.

[FtRapture]

This works great, but when the numbers get bigger, I guess I don't get it.. like 10M^2-23m+12

[TheYensen]

thats just awsome teaching right there i wish my precal teacher would teach this way

but all he does is being cocky about his master degree in math....

[nonameddog]

how do i do this if the first exponent is to the power of five but the X is by its self, no four?

[888Xristos]

@nonameddog

Simple answer: "potential rational roots (theorem)". You'll need to know synthetic division.

Complicated answer: there is no general solution to a fifth degree polynomial.

[freakystylntime]

Youre amazing. Some teachers just cant seem to get the idea across. But I totally understood this.

[MrWhoaify]

wow man the triple is a lot more simple

[HowlBlack]

Thanks. I need to refresh my memory, its been a few years since Algebra 1.

[TAkEdA31]

ohhhhhhhhhhhhhhhhhh i get it. that makes so much scene. thank you so much

[flapcake1996woot]

OHHH my gosh thank you so much!! :D

[airvou]

thanks so much! i asked my teacher at least 10 questions about this and it just didn't click, but you made it so clear.

[socialVANITY]

I have a math final today, and this was the only thing I didnt understand because I missed the lecture. This cleared everything up for me. Thank you

[AngeIInTheNight]

Got a grd 12 advanced functions exam in 2 days and forgot how to do this.

Your my saviour. Thank you!

[uxwj4258]

great! 5 stars

[0wn3dU77]

i wish you were my teacher :D

[zanagrant2010]

great video , i was doing factorising the simple trinomial in school and i just couldnt understand it atall , i watched both these videos and you explained it all so clearly now it seems so easy , thanks x

[PokerBlaster]

I have done math for a while, your explanation and the way you teach are just the best in the subject. I'm recommending this video link to anyone willing to learn the factoring of a hard trinomial. You are simply the best sir . 10 out of 10

[ahhatheJoker]

thank you :)

[vicvicvic135]

thanks

[kleonard34]

youre the best thanks so much

[sarumanisyourman]

How do you know where to put 2x and 14x. Does it make a difference?

[ahhatheJoker]

@ sarumanisyourman ; no but it has to equal 16x

[insitelover57]

dude your the shit!!!

[boboboe236]

You may very well have helped me pass my Trigonometry and 3-Space test.

Thanks!

[SOAD603]

Nice accent btw. and also GREAT vid; i was stumped because i took algebra last year, so i kinda lost this little part. You saved me on like 4 questions man. thanks

[conquestvideos]

What if the common factors are the middle and last terms? Like, what if it was 7x^2 + 4 + 16x?

[conquestvideos]

oops, messed up. What if it was

7x^2 + 16x + 4?

[minkusbc]

What multiplies to make 28 (7 times 4) and adds up to 16, (because of the 16x)? Answer 2 and 14. Thus change it to 7x^2 + 14x + 2x + 4, which becomes 7x(x + 2) + 2(x + 2), which gives you an answer of: (7x + 2)(x + 2).

[conquestvideos]

Thank you so much. I understand it now. You are a great teacher, and explain things well. Thank you.

[Benuova]

OMG!!!!!!!!!!!!!!!!!!!!!!!!!

this video just like help me solve this problem AND finally taught me. wow im amazed thank you so much for this vid.

Ilove math now that i was able to solve my problem whoooooo!

[mrmoylie]

Thank you so much!

[M40A3superstar]

you rule

[SumGuyOnTheInternet]

thanks :D

[shabam90]

i have a question though...what if your asked something like...56w^2+121w+63...if you do 56 x 63 you'll get 3528! are you still supposed to use this Technique??

[minkusbc]

Yup, it can get ugly, I would switch to a quadratic formula solution though. If it was 64W^2 + 112w + 49 where the first and the last a perfect squares. If I multiply the square roots and double the result I get (8w times 7 times 2=) 121w the middle term. Then it factors into (8w + 7)^2

[shabam90]

Amazing! Thanks a Bunch! I O U 1! :)

[shabam90]

Slow nd Accurate! Great Job! Thank you sooo much! :)

[JJOSH5]

OMG!!! thank you soo much. My TEACHER SUCKS ass, he just writes it down. But this dude is like magic :P i can finally finish my homeowrk :)

[buzzardflys]

You are a great teacher; quite a connoisseur of teaching. Thank you. I understand it so well when you teach; slow and deliberate. It's something I don't receive at my school.

[asimgreen]

nice!!! finally i get it!

[PhearDanDan]

How would you factor

36n^4 - ( 3m^2 + 7mn )^2

I got stuck at

(6n^2-7mn-3m^2)(6n^2+7mn+3m^2)

I dont get how to do it if there is a variable in the last part (3m^2)

[theboombody]

Man, this video has a lot of views.

[dopeboii7]

how the hell would one solve this..

y^2 - 2y + 3

[minkusbc]

Cannot be factored, since there are not two numbers that multiply to make "3" and add to make "2". If it was, factor :

y^2 - 2y - 3, then (y - 3)(y + 1) fits the bill.

[drnick1013]

Fantastic video!!! Helped me on an assignment!

[midnightmoonsong]

Thank youuu!

This has been really confusing me... I could sometimes do it, but other times I'd totally blank... I knew more or less what to do but not so much why I was doing it.

This helped a lot, thanks!

Now I just have to get ready for my test on Friday... ahh~

[hattrickster33]

thanks to you I got 95% on my math test!!!!

[cobwebz123]

thank you sooooo much, u taught me what my math teacher struggled to teach me! ur awesome!!

[kakart12]

can you explain how to solve this..

6x^2+18x-24?

[minkusbc]

Sure, this is actually what I call a "combo" since it combines two types of factoring. First factor out the common factor of "6" to get 6(x^2 + 3x - 4), and then factor the bracket to get your final answer of: 6(x + 4)(x - 1). Don't forget to keep the "6" in your answer. Cheerio!

[Jules787B]

do a video on cal limits

[Jules787B]

i hate this shit this is how teachers confuse kids they should just use quadratic formula works all the time and is faster

[minkusbc]

Factoring is also used in areas that the quadratic formula can not be used. It's tough, but you should know both.

[Jules787B]

sorry bout the language but i got sick and tired of my teacher trying to tell me i was wrong in gr 10 so i skipped his class and only went the days of test i got perfect on his test yet he wants to restrict my method.

[hattrickster33]

yea when a teacher tells you that you can't use any method you want its really telling you that the teacher is very limited and probably has a low IQ.

[Jules787B]

lol they is alot of easier ways to do this than this quadratic is way faster for this look how long it took himn to do it i can do this under 40 secs with the quadratic if its cubic no problem syntheitic division this guy needs to do harder examples thats the problem with teachers if they give a harder example it is alot easier to understand rather thand oing the same easy examples for a lesson

[hattrickster33]

I agree they should do the most advanced stuff in the examples to that when you do basic questions on tests you do them really fast.

[minkusbc]

Do you really think my classes don't get harder questions, and that I go through every step, slowly each time. This example is the FIRST one they have seen, so naturally I start off this way. We also want you to know a number of methods - this one in the video, I first saw from one of my students!

[Jules787B]

rather than show all methods its best to show the fastest method and easiest we are taking up dendrites learning more complex methods

[minkusbc]

But there is not one method that works for all. You must show at least four methods AND the combination of these methods to be able to factor anything that is thrown at you.

[Jules787B]

then i'll i use synthetic division hahahha muhahahh lol u have stomped old timer jks

[theboombody]

You're nuts if you want to do synthetic division.

[wameru23]

Awesome!!!! thank you so much!!!

[maddie271]

thanks

[tnukivaati]

Thank you so much, sir!!!!!!!!

[changebeginshere]

you are way better than my teacher

[alancruzr]

incredible! thank you!!

[z3lka]

you are my hero.

[nowhatido]

I like the box way better.. haha

[Xactec]

Can I give you a ferarri? You are the bomb! I missed factoring two years ago when I was sick in school, and now I have a method to do this so easy! THANKS!!!

[BlkSerialKilla]

OMG it worked! Yes! I can factor now ^_^

[halfbreedflower]

i think im gonna fire my tutor now.

thank you!

[numchuckkiller]

thanks much sir

[normalmayhem]

haha

"I would say to myself: 'Self,..." haha

[Blah3156]

u know u have to multiply the last number by something to make 7, what is the only number that can do that? 1 so u already got 1 and 7 to put at the end. Then u think about 4x², what makes 4x²? hmm oh I know 2x times 2x and there u have it. (2x+7)(2x+1). 16x doesn'teven matter

[minkusbc]

Yes, but 4x^2 could also be found by x times 4x. Life is really easy when you have a prime like 7 involved, but when you get something like 12x^2 - 7x - 10, then it gets a bit more complicated, since there are 12 different combos to look at. The method I have shown here works really well for things like that. The answer of (4x - 5) (x + 2) comes in about 30 seconds.

[MrKatrina1234]

u know..ur I.Q is moron..don't understand what is factoring??

[mthlay15]

you is not learned in how what to type?

u I.Q. is moron

[BreStar101]

OMG that helped sooooo MUCH thank you!! wow ur a life savor :)

[StuzzieFresh]

What happens if theres nothing common? Like lets say you have this:

3n"2"-5n-3n+5 (The "2" is a power). Do you just Stop there?

[redwingss77]

my exam is tomorrow worth 20% and if i fail then i need summer school and if i pass then ya thank God. Thanks to you i am much more relaxed so thanks a lot.

[brennanww]

good stuff i have a math exam tomorrow gotta know this thanks alot

[zaur100cool]

If you are not a teacher yet, you should consider becoming one ;) Thanks a lot!

[nikolascarroll]

Yeah I have a math final tomorrow and I didnt have a clue how to do this until now ....Thank you Alot

[Drew413758]

wow great teaching i got finals tomorrow and this helps alot.Thanks

[bodegas42]

Thanks! I learned factoring ages ago and needed a refresher before an exam, and this was just the thing to jog my memory. Thanks again.

[maxim2266]

its like having my own tutor. only its free. Thanks for saving my ass once again :D

[piggyfreak06]

thank you thank you thank you!

This has helped me soo much ^_^

I've tried going to my teacher to help me with this math because I didn't understand it. But whenever I went to her for help, she would shoo me away and tell me to look at my notes. It's amazing that I can learn more from the internet than I can from my own math teacher....

then again, my math teacher is a dumb bitch so I'm really not surprised. Anyway, nice video! :D

[Brando2600]

THANK YOU!!

[5475254752]

This did not help at all nice try though