How to Factor a Quadratic Equation When a is not 1

[Xunnamius]

Thanks :)

[GamerX190]

Thank u so much XD

[kellerb06]

omg you saved my life!!! :)



[Skylan55]

This was extremely helpful, thank you. I had been shown this before and couldn't remember how to do it, but this helped me remember. Thank you!!!

[MrHammad07]

boooring video easy questions. Nice writing practise by the way.

[luisrock2008]

I think this is call AC formula. Or AC something

[AngelMahi123]

When you grouped them together, at 2.59 where did you get the plus sign from? (the plus sign that is outside the two brackets)

Please reply back soon. Thank you =)

[TheSnatchWagon]

You legend

[TheAlickzz]

Thanks :)

[rhocookie]

You explained this better than my teacher. Thank you so much!

[mariababycakes09]

Are you a teacher? You seem like a cool teacher

[ZimeHD]

your 2's look like fucked up assholes.

[mainouyeng]

omg, u are amazing. I fully understand wat to do without even having to go back and look or have trouble with understanding you. Thank you so much.

[Huzayfa95]

thank you so very much

[naruto53421]

Is this the fastest way to factor a quadratic when a doesn't equal one? What other methods (besides the quadratic formula) can be used

[theelfpat]

EXTREMELY helpful

[BioExtract]

5 people didn't understand this :P

[MrCakewasalie]

@BioExtract the dislike bar joke is so old>=(....



[TheProtoVision]

Thanks so much dude

Really appreciate the help !

One of the best tutorials i've found

[raniellejohn]

HOW DO YOU WRITE UPSIDE DOWN PERFECTLY?

[dedly13]

@raniellejohn was just thinking this myself

[heeroyue11]

so just wondering but does it matter which way the 6x or 3x go like

2x+6x-3x-9 or 2x-3x+6x=9? and if so how do u know what order they go in?

[CribBoy9]

sorry man but u didnt help much thats kids stuff what about if you had odd numbers and bigger numbers? like this, i tried ur method but it doesnt seem to work for this 15x^2-11x-12 the answer is --> (5x+3)(3x-4) i kno that cuz thats what my lecturer put on the board but with your method it would take long and im still having problems with how my lecturer came up with that answer so easily

[FrankieSayRelaxxx1]

Thank you so much you have helped me out a lot with this!

[1995a1995z]

its a bit of a long process 

[ashbear124]

He writes upside down! :D

[Mike01010011]

+1. Excellent. Thanks a lot!

[grnxlover]

saved my butt with this!!!

[abaliciousness]

Thank you magical man who can write upside down and teach me math my high school teachers were unable to.

[deadliftdux]

mmmmm very clever

[INSERTwittinessH3RE]

I don't understand the final factorising of 2x(x+3)-3(x+3) to (2x-3)(x+3) at 4.31... because there was originally two (x+3)s and then when you factorised, there was only one. Did you cancel it out or something? Thanks! Hope that makes sense :-) *Confused*.

[deadliftdux]

@INSERTwittinessH3RE lol who cares! it works! :-)

[INSERTwittinessH3RE]

@deadliftdux Had my exam today, so not me! yaay

[jump12man]

Can anyone explain how in class I get this and when I get homework I do it easily but when we take quizes always do terrible

[Lorak129]

Wow. I swear by these YouTube videos! I couldn't learn this yesterday in class and I understand it now!

[stroobit13]

You taught me in 4 minutes 44 seconds, what my teacher could not in a 90 minute class, THANK YOU !

[Jcard925]

thanks! i learned how to do this last year but i could not remember it for my new math class and have been so stuck!! very helpful!!

[lbblackburn]

We need to use proper terminology in mathematics. Please stop calling a quadratic expression a "quadratic equation." As the word suggests, an equation must have an equals sign in it. We do not factor equations, we factor expressions. You may think I am being pedantic, but words are powerful and math students often do not know the difference between an equation and an expression.

[MrPVP21]

thanks for putting this up this was so helpful!

[zackjohnsonhurricane]

Very Helpful! thanks!

[VSploosh]

How Do You Factor 12x^2-3x

[alex93632]

W=THIS GUUY

T=WRITES

F=UPSIDE DOWN! :D

[SuperGauss100]

hey nice tutorial,but next time can you use a pen ore a pencil?the sound that maker makes against paper makes my skin crawl.

[Aberakkrombie]

this video saved my life!

[katrudy7]

perfect!! I've always done severely poorly with math, and I have to re-take the GRE because my scores from 2005 expired last year. I'm horrified, because I did badly on the math section even then, and my most recent math class at the time was from 2000 ;P Now, you can imagine, it's 10,000 times more daunting. Thank you for aiding me in reconstructing my math knowledge. :)

[Kwashi13]

I have a really horrible textbooks (my old ones were better) - they hardly have any indepth explanation and it really helps to watch a video like this. TY.

[Batman001]

quit brainwashing me!!

[mysoukouss]

thanks dor a great presentation. It realy helps to deal with the monster of factoring

[KevYuuuu]

wait... ur writing upside down.. thats impressive.. very.

[bboyrulz]

thanks, that really helped me in tutor--- i wasn't really listening to the teacher >.>

[derden95]

thanks

[MedinaRegal]

What do you do after simplifying the factors replacing B into the two parenthesized equations but they don't simplify totally?

(6x^2 +9x) (8x-9) would be: ?

This is from the equation 6x^2 + 17x +12

[VertSk8er12]

you sound like the guy from 2 and a half men

[YourTutorOnline]

@VertSk8er12 which one? Please don't say Charlie Sheen :)

[VertSk8er12]

@YourTutorOnline alan harper

[arandomu]

@YourTutorOnline You sound like Alan

[Skylan55]

@YourTutorOnline Haha you definitely do... and not Charlie Sheen. The brother, Alan.

[Vertaqore]

@YourTutorOnline lol he means alan. You do kind of sound like him XD

[bossbeate398]

He is talking about Alan lol

[15hdanny]

Fantasic method, thanks a lot. Was losing the will to live with these things!!

[thevishyfishy]

thank you!!!! so much, i was in a bit of a jam, so thankz!

[overduminc]

Thank you!

Exactly the way we were taught in school, i forgot when trying to revise :D

[iYateszy]

finally thankyou. now to practice 100 more ;D

[cesmanp]

great help

[SulthanaB226]

it works!! i can factorise!! whoop! thanks :D

[justbet502]

ok so how do you know when something is nonfactorable?

[WizardTurkey]

at the end does one have to be + and then another - or does it not matter? because i always see (x+x)(x-x) but some times i get (x+x)(x+x)

[cinhockey123]

wow this sums it up . I was a little confused after class and had weight lifting so i couldent ask for help, then i got the great idea to look on google. Great vid.!!!

[xoblackout]

THANK YOU SOOOOO MUCH

[kingzfan2000]

6x^2+x-12: This method does not work. 6*12=72 and none of the factors of 72 add or subtract to equal the coefficient of 1 in the B term of 1x.

[YourTutorOnline]

@kingzfan2000 That is because 6x^2+x-12 is NOT factorable. You'll have to use the quadratic formula to solve.

[lbblackburn]

@YourTutorOnline

1. It *is* factorable. 6x^2 + x - 12 = (3x - 4)(2x+3) (and kingzfan was wrong, the method you present does work...some people don't know their multiplication tables 9*8 = 72)

2. There is nothing to *solve*. There is no equation. It is an *expression*. The quadratic formula is for quadratic equations. (There are reasons to factor besides solving a quadratic equation.)

3. Your language generally has problems, and I would caution any student to listen to these videos.

[yasmin1388]

im sry kingzfan but that equation can be factored. you look for 2 numbers that multiply to -72 and add to +1. Those numbers are -8 and +9. Then decompose the middle term of the equation (linear term) and u know do ur thing :P.

[KevYuuuu]

@kingzfan2000 yea.. 9 and 8 bud

[therockblog]

Can you tell if it is factorable or not just by looking at it?

P.S THANK YOU! I have a full IGCSE mock exam tomorrow D:

[DeslDubz]

what if you dont have a B term?!

[runescapeo0o0]

@DeslDubz you always have 3 terms in quadratics.

[Jennasawrisrex]

You taught me more in 4 minutes than my teacher has all semester.

lol

[AwesomestPrincess94]

Thnx you have really helped me i was having trouble but now i dont and now i hope that i will pass my quiz i have nxt week

[butface64]

thankyou so much for helping me i watched it 3 times and now i understand your way better then my teachers

[deepak123456007]

cooooooooooooooool itzzzzzzzzz the best !!!!!!!!!!!

[photoxloan]

LOL to you if you think this was mirrored LOL LOL LOL

[photoxloan]

LOL to you if you thing this is mirrored.. lol lol lol

[djthedj25]

Thank you sooooooooo much this helped me so much I can't even explain!!!!!

[Seatimer2000]

ooohh... so ur supposed to actually "break" the middle-term... dude u are awesome i'd give u a double thumbs up for the upside down writing!!!

[thesamdogxx]

wat about 3x^2 + 2x - 6 ...... 3 times 6 is 18, there are no numbers which add or subtract to give 2!!??

[maxridepro]

GENIUS!! I WAS LOOKING FOR THIS METHOD FOR SUCH A LONG TIME! THANK YOU VERY MUCH! :D

[dajakesta1234]

i rather use -b+_sqrt b^2-4ac/2a

[BrownFlip7852]

you teach way better then the teachers at school

[someDude10110]

Thanks for the video. Using some U substitution on trig function to get it to be quadratic and factoring the way you showed helped me out a lot

[10thStreetBlvd]

Thank you so much! God bless you.

[CeriMillen]

i actually love you.

[BCFCSEAN]

thanks man this is a reallly helpful method

[DarkDreamyAngel]

is 6x^2-7x-10 factorable?

[LASLife2]

2x^2 - 6x + 4 is Not Factorable right?

[TheMadkp]

answer this because im confused

3x^2+8x+5=0 and you were supose to slove by factoring

need help reply

[nghi1350]

The explained method took too much time to complete. There is a new method, called the Diagonal Sum method, that quickly and directly gives 2 roots in the form of 2 fractions, without having to factor the equation. It is faster, more convenient than the trial-and-error factoring method, and it is applicable whenever the equation is factorable. See book titled:'" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)

[tylesftw]

it dont work with 2x^2+9x+6 ?

[YourTutorOnline]

2x^2+9x+6 is not factorable so you have to use the quadratic formula.

[1995a1995z]

@YourTutorOnline just the quadratic discriminant to work out if you can factor it or not

[rogueWhippet]

Nice but that first two you wrote really looks like a six.

[xCityisMinex]

this was great! helped me in summer math a lot, thanks!

[BethesdaSkater]

thanks for making this video! it was really helpful

[TinkleTylaa]

Cheers m8 good vid I really needed it

[tashibinladen]

thanks for this fab teacing.....

[majangi123]

i have ben trying to fo this for ages thanks very much i really appreciate it !

[Kat5875]

Thanks!! Your video helped me out in time for my final!! :D

[darken731]

Helped me alot! Made me understand how to do these types of quad equations! thank you so much!

[SirBongy]

THANK YOU SO MUCH! I have been so confused about factorising quadratics for a very long time, thanks alot!

[elibron97]

Thanks a lot! This helped me a lot!!!

[liedABOUTmyAGE]

When i worked out your answer so that it would match the first equation it didnt make sence i got 2x^2-3x-9..? take three.?

[erathfon]

i can show you an easier way to do this problem....go to eugene rathfon on youtube

[mattman117]

Thanks a lot you helped me a lot!

[bradleylobetta]

whats with the writing upside down!?

[YourTutorOnline]

@bradleylobetta That's how I do tutoring sessions in "real life" because students normally sit across the table from me. I found that students learn better if they can see problems worked out right in front of them rather than constantly flipping the page...so I learned to write upside down. I just decided to make this video the same way I do real tutoring.

Thanks for asking!

[Weerzer]

@YourTutorOnline Impressive. I like a tutor whom is willing to go the extra mile.

[butface64]

@bradleylobetta so we can see what hes writing with his body not in the way

[rickybiggy1]

hey this is very easy....the answer must be (2x-3) (x+3)......i'm a eight class student and i want to know how to solve 15xy-6x+5?

[sleepytime1123]

thank you for posting this! made my life a little easier. thanks again.

[dpod121]

DUDE YOU ARE GOD!

[nicolehye]

i understand this so much better !

[frogkiller94]

WHAT IF YOU DONT HAVE A C TERM?

[YourTutorOnline]

@frogkiller94 Then its not a trinomial and this rule doesn't apply. Instead factor out the like terms (probably x's)

x^2 + 3x = x(x+3)

Good question!

[Vycarious]

try difference of squares

[nicoledaprincess]

Hahaha how do you write upside down!?

Anyways, thank you! This was very helpful!

[EliteShadowJS]

forgot the basics...thanks!

[xHeYxThErExCuPcAkEx]

OH MY GOD I WANT TO HUG YOU RIGHT NOW.

i'm an algebra TWO student. i learned this in algebra one but this year i couldn't for the life of me remember how to do this. i've been struggling for a month now until i saw this and it all came flooding back to me. THANK YOU SO MUCH!!

you explain everything really well and the different markers help. that was awesome. you rock :D

[Sk8t3rNoob]

@xHeYxThErExCuPcAkEx wow that's my exact situation lol

[LukeVader77]

OMG MAN! Thanks a bundle, this was super useful. You just saved me like 17 hours of me trying to figure this out by myself in like 4 minutes.

Oh, and that whole writing upside down thing, AWESOME!

[bevon17]

THANK YOU SO MUCH!!!

THANK YOU!

OMFG

you dont realize how amazing this video is

[bevon17]

I swear to god I hate these things, I always messed up on tests when it came to these

THANKS!

I'm just going to watch this 1000000000000 time until I can do this with np

[LuffyDumpkins]

Thank you so much for this video!

[skinnytwintights]

YUUUU RULE!

[alykaproductions]

haha forget this i wanna learn how to write upside down haha his handwriting upside down is better than myn regular

[yesmate789]

tragic

[ZeroGTutorials]

Thanks alot ...nice writing upside down lol..

[Puggwarrior]

thanks man, now I can go back to my homework

btw, kudos on writing up-side-down

[91Inuyasha]

thanks so much!!!!!

I've been wondering how to do this for a while. This really helped.

[probrood]

thank you sir! factoring was something i would always shun and barely pass by. i am in Algebra 2 and we started factoring once more, which killed me. however, i came across this video and tried your way. and my goodness, your way totally beats the stupid "guess and check" method or the "X" method. you would really be a swell tutor or teacher, if you already aren't. cheers!

[ThePsychoticHeero]

YOU ARE MY HERO!

Thanks man.

[mike123luis]

nice job witing upside down

[musicthefuture13]

yay!! good job!

[soccerman1434]

amazing video!

[bockydo]

lil bit diff from what i learned in class but it works now i just got to find how to figure it out when it will not factor

[Puggwarrior]

either complete the square or use the quadratic formula

[conorse17]

You good friend are a life saver!!!

I didnt understand how to do this but you are an amazing teacher!!

THANK YOU!!!!!

[slimjimskull77]

jackpot..thanks ive been looking for a problem when a is not 1 to solve

[firedragon1992]

thx alot.

[Austinatorpwnznoobs]

and am i the only one... who think that he has amazing upsidedown-writing skills

[deagla2]

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[69mornin69]

I love this!!

Get a job in my school!

Better than my teacher anyway!

...LEGEND!!

[7Luker7]

It helped me a lot.

Thank you.

[wuddupbrando]

i just loveee how when im trying to view something , it doesnt work. : /

weve been working on these for a month , and i didnt understand it untill i seen this.

[LilFatMikeSumtimez1]

Man its a good thing theze vidz are online kuz I dont pay any attention in school.

[shspatriot12]

I took Algebra 2 over a year ago and the way my scheduling worked out I got slung into Pre-Calc this semester. Of course the third day we are in there what do we find? Yep, you guessed it! Quadratic equations! I felt like I was trying to read Ancient Myan. So when the teacher assigned the homework I thought, great I'm screwed. Then I found this video and it's all starting to come back. Thanks a ton for this vid!

[GrenthMinion]

You are a saint! This video has really helped me understand this, thank god, and my test is tommorow. I do like this method over the way our teacher explained it, if 'explain' is what you want to call what she told us. Thank you!

[Taranis501]

I'm a student teacher, and my CT just taught me this method. I think it's great, but this video is missing a crucial piece of information.

Consider 2x^2 +10x+ 12. When splitting up 10x, you could either write 6x + 4x or 12x - 2x. The former is correct, but how does the normal student know which one to choose? This video should point out that the sign before the C term tells you if your two terms should add (you'll see a + sign) or subtract (you'll see a - sign).

[YourTutorOnline]

Yes, you are right. Thanks for adding that piece of info.

[erathfon]

@YourTutorOnline no they are not right because of the sign rules....

12 and -2 do not multiply out right when used....

you have to find the factors of your product that add up to 10 not subtract to get 10....there is only 1 way...

[iRollBluntz]

props on that catch

[Saphinator93]

NIce vid man very helpful and understanding.

way better than what my teach showed us

[DocterDeeee]

Thanks for the Video, but i'm quite unsure how to do it, with 2 terms which each add each other:

i got 4x^2+16x-12 which is equal to 4x^2+4x+12x-12

what are the next steps? After that, i make somewhere a mistake.

[YourTutorOnline]

There are no mistakes. Your example isn't factor-able.

The next step would look like:

4x(x+4) + 12(x-1)

As you can see the stuff in () are not the same. The only way to do this solve for x here is the quadratic formula.

Did you get this example from a book?

[aznlilhero]

Wow thanks! lol i got a test 2m and i'll try this method out.

[YourTutorOnline]

Let me know how you end up doing on your test, and if there is anything else on there you didn't understand (so I can make more relevant vids). Thanks for letting me know it helped you!

[aznlilhero]

yeah. it's not the way my teach taught it. this is much easier to understand. and i just found out the test was on Monday xD i'll try to keep reviewing.

[matato007]

3:44*

[matato007]

heres my question

8x(squared)+10x+3

if you can help me out that would be great

[matato007]

at 3:46 how did u get 3

"2 x from 6x, you get 3"

did you divide???

[YourTutorOnline]

Sorry it took so long for me to get back to you (classes for me just started this week).

I factored to get that, but of course you can think of factoring like dividing.

Does that answer it for you?

[xhyugunx]

thanks a lot of help man

[omgitsgmod]

thanks this will really help me with my final, I'm glad YOU took the time to teach me, my teacher just coulden't do her job.

[anantha92]

Great help man, i ahve my igcse test on monday!