Factoring Trinomials With Leading Coefficient not 1 - AC Method & By Grouping - Algebra - 3 Terms

This algebra video tutorial shows you how to factor trinomials in the form ax2+bx+c when a, the leading coefficient, is not 1. It shows you how to use the ac method to factor such trinomials that contain 3 terms which involves factoring polynomials by grouping. This video contains plenty of examples and practice problems for you to work on. Examples include how to factor 2x^2-5x-3 , 6x^2+11x-10 , 12x^2+11x-15
How To Factor Trinomials:
• Factoring Trinomials T...
The Greatest Common Factor:
• How To Factor The Grea...
Difference of Squares & Sum of Cubes:
• Factoring Binomials Wi...
Factoring Perfect Square Trinomials:
• Factoring Perfect Squa...
How To Factor By Grouping:
• Factor By Grouping Pol...
Cubic Polynomials:
• Factoring Cubic Polyno...
_______________________________________
Solving Quadratic Equations By Factoring:
• How To Solve Quadratic...
Quadratic Equations Completing The Square:
• How To Solve Quadratic...
How To Factor Difficult Quadratic Equations:
• How To Factor Difficul...
Hard Factoring Examples:
• Factoring Trinomials &...
Factor Completely - Multiple Variables:
• How To Factor Complete...
Factoring Higher Degree Polynomials:
• Factoring Higher Degre...
_______________________________________
Factoring Trinomials With Large Numbers:
• Factoring Trinomials W...
Factor Trinomials With Negative Exponents:
• How To Factor Trinomia...
Factoring - Rational Exponents:
• Factoring Algebraic Ex...
Factor Theorem and Synthetic Division:
• Factor Theorem and Syn...
Finding All The Zeros of a Polynomial:
• Finding All Zeros of a...
Real and Imaginary Solutions:
• How To Find The Real &...
_________________________________________
Factoring Formula Sheet:
bit.ly/4dFNZJ8
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@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

[@ED-sx8xq]

THANK YOU. I am a Public School Teacher with a weaker math background and run a computer lab for students to recover lost credits in English, Math, Science, and Social Studies. Therefore, I must know AT LEAST as much as the material my students are exposed to. I have NEVER understood the factoring with an initial coefficient of more than 1. No one breaks it down step by step. With a Master's in Special Education, I must say, "A job well done. "

[@sadieb27]

what a meme

[@kiwi9660]

how dumb r u

[@uncleiroh2668]

how tf did you get masters if you cant even do this, this just proves how useless teachers are

[@anisa0]

SAS Smirksy u don’t remember EVRYTHINGGG U HAVE KEAREBD U DUMBASS

[@Sara3346]

@@anisa0 Exuse me good sir or madam, but this highly colloquial version of english you are using to attempt to communicate confounds me, could you please attempt to rephrase that so that others might appreciate the majesty of your sentiment?

[@MajesticRecaps23]

That’s why math is one of the hardest subjects, but it’s fun when you know the ideas and the techniques of solving it.

[@hermitcard4494]

When you know the previous or basic procedures. If you don't understand something, go back, take it easy, master and come back 👍

[@cookie0329]

not fun, barely useful

[@moistfire8923]

it’s only satisfying when you know how to use it but it gets boring after about two problems

[@raytbp723]

@@cookie0329 well that depends on what job you wanna take

[@captain4064]

Nah it’s boring and hard

[@polish_filipino]

This guy explained how this worls in 3 minutes. I wish i found this earlier. Guess i'll be taking a test now

[@polish_filipino]

@Jordan Burns Thanks, I think I got a C though. But idk

[@Nix27.]

@@polish_filipino How do you know where the numbers go after you split the middle number up? Like -5x split into -6 & 1, how do you know which number comes first in the equation

[@readingbooks189]

@@Nix27. It actually doesn't matter which comes first, you get the same answer either way. Maybe you've already discovered this, but I hope this makes things easier!

[@Nix27.]

@@readingbooks189 Yeah I asked my math teacher and he said the same. Thanks for the answer anyways! It's good to confirm what he said.

[@coffeedesbeans]

Hi, thanks for sharing your knowledge. Your teaching method has literally, improved my understanding in factoring trinomials.

[@TheOrganicChemistryTutor]

Glad to help

[@Nix27.]

@@TheOrganicChemistryTutor How do you know where the numbers go after you split the middle number up? Like -5x split into -6 & 1, how do you know which number comes first in the equation

[@mikemartin140]

Hey, i love the way you explain it way better than my math teacher. i was wondering if you could make more videos covering this but with different questions IF YOU COULD THAT WOULD BE FANTASTIC.

[@TheOrganicChemistryTutor]

Here are some more examples: kzbin.info/www/bejne/o4nZpWyFqtJ-fpo

[@declanl3514]

@@TheOrganicChemistryTutor GOAT

[@wishub]

all these people talking about how they understand it but i cant 😭

[@cyndrillis1605]

SAME

[@hermitcard4494]

Don't desperate. If you don't understand this its because there's a previous lesson you haven't learned well. Go back, lear it and come back to this lesson 👍 You can do it! 👍

[@kevinmclean7665]

Yeah man, like Hermit Card said, you can do it!

[@Master_K14]

@@hermitcard4494 yes first you should avoid doing desperate and the go back and Lear the previous stuff Got it

[@FAEZyrenSub_To_Me]

Ive been failng all my math tests caz i still cant understand this

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for a well explained video on Factoring Trinomials With the Leading Coefficient Not One. These videos are off the learning charts.

[@whinychicken133]

I am really good at math but I couldn't figure out how to do this type of equation. You're videos are the best! Thank you.

[@Regular_Decorated_Emergency]

*Your

[@cam6963]

wait this actually made it make so much sense???? like the way you explained the factors at 9:10 just made something CLICK for me. I'm doing algebra review to prep for college calc and this actually saved my life!!!

[@mrs.patronas7455]

I did discover that when you get -6 and 1, you can just divide them by 2 x and reduce if possible. 1/2x. And -6/2x The second term reduces to -3/x. Now you have your factors 2x plus 1 And X minus 3

[@jojorusso6535]

Dude this helped me out so much. My classes were trying to explain it to me in the most convoluted way possible. This saved my life and my sanity, thank you so much!

[@wesleywu1990]

You know the day is saved when you hear this voice

[@sophxxe]

You explained this so much better than my teacher. We had a test yesterday and I didn’t understand what to do because she didn’t explain a good method (she was using solely the box method, which I find useless) and got a B, so I’m retaking today. This was super helpful, I understood it by the first problem. Thank you!!

[@Genedide]

I wish you would make a longer video for this.

[@robertkenf.sakata9211]

Bro, I just want to thank you for always saving my life.

[@dumbdumbdani]

This video is from 6 years ago but with only 2 minutes in I finally understood something that it's taken me DAYS to try and figure out! You are amazing!! Thank you!!!

[@7R1XYLgaming]

Thank you sooo much man you helped me understand it soo much better

[@nolancarey6244]

I'm taking calc right now and I forgot how to do this. Thank you for saving me.

[@katepiard8617]

im literally in algebra 2 honors and ive had to watch this video like 7 times this year bc i keep forgetting how to do it :D

[@P7RO1]

Thank you so much! I’m watching this less than an hour before my test on factoring polynomials 😭😭😭😭

[@caileyjade5754]

thank you SO MUCH. you are a life saver

[@thisistherealnasa9074]

kind of weird, I had the same exact first example problem that I was working on. Thanks.

[@mortimermouse3086]

You explained this perfectly in 3 minutes, thanks

[@Sara3346]

2:47 ..but what if your working with a problem whos second term is not something you can reduce to the same set of numbers you have on the righthand side?

[@rainbowpastel9215]

Thanks! You're a life saver and i enjoy your teaching style

[@floopy1117]

YOUR A LEGEND!! LEGEND I SAY!! THANK YOU MATE

[@lalaribbon7281]

Thanks, this lesson is too hard for me to understand if I just try to read and understand the steps in the book.

[@tzutzutrain6682]

Thank you so much, you helped me get through our lessons, because in this pandemic time, It is a bit hard to because learning isn't face to face where you can comprehend the lesson more.

[@brianhauser1296]

you saved me i have a test tomorrow!!! 😱😱

[@georgiygerman2251]

My teacher said the easier way to find the 2 numbers that make the ac is to use 4, 9, or 16. Its usually one of those on algebra tests. So for his last question I found the 2 numbers way faster

[@SuLeeMal]

The video is great and I understand this now, but my issue is at the end of the video all the future videos pop up and cover the last bit of what the answer was supposed to be making it difficult for me to see. I can't listen to audio on my computer and that really messed me up trying to understand the last bit of the last problem

[@andynieto1412]

If the first problem, does it matter if the -3 and -5 are switched? So for example 2x-3-5x?

[@Nix27.]

How do you know where the numbers go after you split the middle number up? Like -5x split into -6 & 1, how do you know which number comes first in the equation

[@schrodingersbraincell5861]

I’ve almost never studied for math. Im a pretty bad student, work wise, and have always felt more comfortable with the Hass and English sides of the curriculum. I’ve always felt like my studying comes to naught in maths, and it could be better used in other subjects. This is probably the first time i have ever studied for maths in a timely fashion, without cramming. Wishing all students here luck on their exams

[@denissemitchell9891]

So helpful! Thank you so much for your services!

[@brtbrt8142]

u just saved my life tysm

[@chocolateangel8743]

You should check out some Asian methods. As the factors get larger, it's easier (and faster) to use a Trial-and-Error method. You do NOT have to do factor by grouping in order to solve these problems.

[@davidh6951]

THANK YOU man. That makes sense.

[@POTATOCHIP-l2y]

Thank you so much - nobody will see this but I just wanted to acknowledge that

[@brokendishesgaming2075]

thanks bro, much easier now

[@vedabhatikar4668]

saving my life less than a week before my EOC

[@rebekahr.3987]

SO HELPFUL thank you!!!!

[@sheila5018]

another one that helped me thank you!!

[@regang.902]

Thank you, This helped a lot!

[@FREEGEMS]

Why do they ALWAYS FACTOR OUT PERFECTLY? (4x -3) on both sides. My equation isn't like that, what am i supposed to do???????????????????

[@ashleyrookstool2306]

I knoowww! I have that same problem!!

[@graceknerr9544]

I literally can’t comprehend this at all I know your trying your best I’m just stupid

[@ragingtomato04]

Then maybe it's not factorable try other ways like completing the square and quadratic formula

[@100T_UwU]

we know u dont have to tell us

[@theledeegboros5405]

@Durpy's Den dumb

[@chase5015]

Very helpful thank you sir!

[@ms.unknown4754]

I finally understand thiss!! Thanks!

[@voldilepredestine6269]

Wow u explained very well ... I used the same method on my channel

[@cristalcortes6725]

Thank you so much man my teacher makes my class teach themselves 😭

[@mr.write1433]

Theres an easier technique though. Multiply the constant with the leading term. Factor it then divide the constants with the same number, distribute the fraction to the x terms. 2x2-5x-3 X2-5X-6 (X-6)(x+1) (X-6/2)(x+1/2) (X-3)(2x+1)

[@diablothecheater4159]

dude I literately only needed to watch until 0:28 and only heard 10 words because I unplugged my headphones and it helped more than three quarters of my teacher explaining it.

[@crupov]

Thank you so much! This video helped me a lot

[@russelllloydsantos3329]

thank you so much

[@destinyjoau-yeung1465]

Your the reason I’m passing mcthank you

[@el_felkx8822]

Thank you 🙌🏼😇

[@el_felkx8822]

Thank you again 😭

[@user-xy6rn1eb1f]

Lol I'm watching this while waiting for my service because it's examination day. Thanks alot

[@swiss4ever93]

You are the KZbin Math King!!

[@Miranda_Writes]

You make it easy.

[@marquez4655]

aftermath class, I come here to understand things deeply and to clear out my confusion.

[@ced8713]

Your the best

[@dougd120]

Important to know about this.

[@naper425]

holy this helps SO much

[@thebestmathacademy8838]

Excellent video

[@delancey3181]

4:54 this is we’re it goes downhill I don’t understand after this those numbers came out of nowhere Where did that 2x come from and the rest of those numbers?? Did he subtract something? Did he multiply something? Did he divide something Did he just put a random 2 there just because? He says “so let’s take out a 2x” Ok but why? And from WHERE??? And how?????

[@pete3839]

1:20 why did you use -6x+1x to group instead of -3x-2x or -4x-1x ?

[@윤혜림-j6x]

Thanks for enlightening me the last part😅

[@austinc4688]

so you just changed the signs for the -15 and change the +4 into -4. Are you allowed to do that?

[@noone-yo6rd]

2:34 why do you only use one of the parenthesis if there is 2? Even though they are the same shouldn’t they both be included in the answer?

[@marvills2007]

cool im using this again to remember how to do rational expressions

[@cinnamontoast4192]

what do you do when the last number also has a coefficient, do you just ignore it or?

[@lorainesandoval98]

It helped a LOT!❤❤

[@MayrineAgcaoili]

I really had to replay this 5 times because my energy was down to drain

[@thewowlife3811]

yes this is the best vid

[@jameswilliam9176]

Great video! Thanks

[@34ghrg]

thank you so much you 👍👍👍💪

[@durumbasa]

thank you so much buddy

[@evelynjuarez1580]

if i was trying to take the roots of this trinomial, can x=3, -5/2?

[@yusufadkins1761]

Would someone please explain to me how on the second example the two is not factored to a 2x? Where did the x go?

[@gavinhough5051]

thanks so much

[@roncywangari6515]

I now understand thanks😂😂😂

[@jiboyoseo]

thank u soooo much!

[@ASiABeenGorgeous77]

so helpful!!!! tysm

[@nyanffie9905]

Why some problem just makes the middle term as a difference such as 4x^2-35x+49 to 4x^2-7x-28x+49 ????

[@diyproject2476]

Question , when you pick - 4x in the fist group, why I cannot take 15x to make my first goup?

[@Eat_Pi]

You definitely could! You would write is as: 6x^2+15x-4x-10 Split into groups and factor by grouping: (6x^2+15x)(-4x-10) 3x(2x+5)-2(2x+5) (2x+5)(3x-2) So you wind up at the same answer either way, hope the helps! I have a channel too and am always happy to help 👍

[@Angela-tn9nc]

thank you for this

[@s.stapes4040]

for the last one, wouldn't it have been easier to find the factors of 18 and then add a zero?

[@joaquinprestado5561]

I have this problem. 18x^2+3x15 I multiplied 18 and 15 getting -90, but the factors of -90 doesn't add/subtract to +3x (Middle term). Idk what to do, any help is much appreciated.

[@garrybeck216]

18 * 15 is 270 not 90

[@msf8297]

ready for the GRE

[@Michele01]

I dont even pay attention in math class anymore since the Professor cant explain anything. I just make a note of the math concept and go straight to youtube

[@ARBek-w8u]

I don't understand my trinomial problem is 2x^2 + 7x + 3.

[@alannahkelly1359]

What if none factors add up to the b term

[@evelynjaramillo23]

Amazing 😊

[@Effectery]

THank you :)

[@christophergreen6655]

love how i cant even see the answer because of all the ads at the end of the video

[@josephfelderhoff1965]

TYSM

[@jojobugaring2544]

What is 12a2-13a+6?

[@zaq_d]

Thanks allot!

[@NBVCXZ-v9q]

3:39

[@NPC_OLC]

did your screen freeze at the end???