Factoring Trinomials The Easy Fast Way

This math video tutorial shows you how to factor trinomials the easy fast way. This video contains plenty of examples and practice problems for you to work on including factoring trinomials when the leading coefficient is 1 (a=1) and when it's not 1. This video will also help you to solve quadratic equations by factoring and by using the quadratic formula.
Full-Length Math & Science Videos:
/ collections
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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 &...
_________________________________________
Final Exams and Video Playlists:
www.video-tutor.net/

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full Length Exam Videos + Worksheets: bit.ly/4990rzU

[@feenixpg3d]

My broke a## can't afford those 😭 cool things tho

[@ugIybot]

You made an error in this video. For the first example, it should've been (x-2 (x-3). This is because the formula for a factored quadratic function is (x-r) (x-t). If the factors were negative, then your answer would have made sense because it would plug into the equation like (x-(-r)) and (x(-t)).

[@waldski]

11:10 how did the divisor turn 8 into 4 ??

[@waldski]

11:10 how did the divisor turn 8 into 4 ??

[@sophietoribio4094]

Who else got a test tomorrow?

[@nightshiin78]

Me

[@peterpan4671]

Mee😅😅😅

[@aatishbharti8717]

grande tutorials me

[@CreepyNoodles69]

Me, except three months later!

[@s.1882]

grande tutorials I got a eoc test coming up next Thursday

[@stevenplayzz1876]

i learned more from this 12min vid then a whole class period with my math teacher

[@ianfabro9174]

all the info that took my teacher a weak to teach is here

[@cecelina8832]

Om

[@naritruwireve1381]

I understood how everything worked within 8 minutes on the video compared to the 3-4 hours my teacher spent teaching the class...

[@lunarbrona4412]

I was absent 😅

[@xriicex4251]

StevenPlayZz - Clash Royale well you should be my math teacher instead

[@lukebs1939]

This man, made a video teaching 6 different years of students across the world. Brilliant.

[@strawb3rry_kisses]

truly a legend

[@habzzfr]

​@@strawb3rry_kisses fr

[@hetmanfoko]

7 now :D

[@corvus-pt1wd]

@@hetmanfoko Yup

[@ProLegendTNTgamer]

@@habzzfr you still watching this? my classmate learned that one ;)

[@dewonearlonline5602]

Who else here during Covid-19 and online school?

[@Gumby-ce1fd]

Same

[@alexandroskulira4565]

yup

[@justinaacuriouswanderer1496]

Here😂

[@robloxtea6124]

Here 🙋🏻‍♀️

[@sanmathir5525]

Same 😊which class all of u

[@xhobispritex7552]

Our teacher got angry at us for being to noisy and ended up NOT TEACHING this. Tomorrow is our quiz!!! This is a lifesaver!

[@davidespinoza102]

Lol

[@nourmarouf1836]

Most of them are like this _

[@nah6430]

Public education 👌

[@nezaanswartz178]

@@nah6430 private education also does that

[@meanairenmins5212]

Hey Jennie😊😂

[@sabelocarzonpangilinan3294]

Hey you, yeah I’m talking to you Stop reading comments while listening to him You wont learn anything that way

[@johann2191]

Sabelo Carzon Pangilinan thanks for reminding me

[@allenbanks1171]

Needed this

[@kashrenae476]

Sabelo Carzon Pangilinan ok thank you!

[@marty9290]

Eva Porter, The Psycho Dragon Girl pro

[@marty9290]

Wait that would mean you took an online quiz :00

[@kristellemartin594]

Others: wow that's easy Me: literally amazed on how fast he changed the pen's color

[@BVBYBLVNDVR]

osu god.

[@raze6626]

lol, btw i got a question---what grade do we learn this, i am in 8th grade, and I didnt understand any step he did, I think I am supposed to know how to do this :/

[@raze6626]

lol, btw i got a question---what grade do we learn this, i am in 8th grade, and I didnt understand any step he did, I think I am supposed to know how to do this :/

[@jasonchen6216]

@@raze6626 im guessing year 9 cause thats when i learnt it

[@joseantonioperez5989]

@@raze6626 yes your supposed to learn it at 8th grade.

[@solo.2449]

Me now: hm.. this isn't so ba- My quiz: *_IM GONNA STOP YOU RIGHT THERE_*

[@richviewsproduction7737]

😭😂

[@nathanpadua9113]

Solo for real I got a 15% on it😩

[@maksymporokhnavets3608]

@@nathanpadua9113 i got 6%.

[@beingclaire_.]

Maksym Porokhnavets damn.. I got mine tomorrow right after winter break 🙄

[@godlygamer2466]

Nathan Padua I got either a 85 or 100 haven’t gotten it back tho

[@boringgremlin4263]

You make math feel like it's no big deal and to me that is a big deal!

[@theexplorer7139]

Fiona Cleary Right?! My math teacher doesn't teach as clearly as he does. No disrespect to her, just saying.

[@mrmoinn]

Fiona Cleary that's because no math is really that big of a deal, once you truly understand the concepts. The problem is that some people can't teach or learn the concepts themselves very well and that causes them to struggle in math

[@markkhoury1053]

@@theexplorer7139 Same

[@raze6626]

lol, btw i got a question---what grade do we learn this, i am in 8th grade, and I didnt understand any step he did, I think I am supposed to know how to do this :/

[@alwinvillero9505]

@@raze6626 do you know basic polynomial arithmetic?

[@semhalsolomon7805]

Oh my God! you are like a maths Angel sent from above. I always had good grades except for maths starting from 7th grade. And look at me now rock'n it at senior high school. THANK YOU SO MUCH!!!!!!! Seriously from all of my heart THANK YOU!

[@pidge6213]

Night before my SAT, can always trust a youtube math vid from 7 years ago to have my back.

[@CasperLind1]

In my opinion you teach the best way, you teach by alot of examples, and change them bit to make them harder (y) and point out agian and agian how ''simple'' it is. because math is simple if you get the princi, and by adjusting it to different scenarios

[@mackroyale5]

Very correct

[@nightshiin78]

My teacher went to fast and the whole class understood it I was like Uhhh.....????!! ; ( But you went nice and slow thanks bro

[@cecelina8832]

Krazy Killa story of my life

[@allanraffyleonard2534]

lol, thats soooo me

[@infamoushd8389]

Night Shiin you might wanna reconsider your stream is that is the case... ie academic, applied and locally developed. Not being in the right stream could hurt u quite a bit

[@sunset6958]

@@infamoushd8389 ??

[@aunmaqsood8227]

@@sunset6958 he's talking about canadian curriculum, it's different. Not sure why he brought that up though lmao

[@zbotwastaken]

My algebra teacher has no idea what he’s talking about, so this video is a life saver

[@ehehet5801]

time stamp for me 0:07 1x^2+5x+16 0:15 x^2+8x+15 1:55 x^2-7x+12 2:40 x^2+3x-40 3:24 2x^2-3x-2=0 5:49 3x^2+8x-3=0 8:09 4x^2-4x-3=0 9:55 4x^2-4x-3=0 0w0

[@Pastelqq]

BYE THIS LOOKS SO COMPLEX BUT IT REALLY ISN'T

[@pinkman17_]

@@Pastelqq IKR

[@martinvelmonte5358]

Dude thank u so much! My teacher discussed this topic for almost 3 weeks now i learned more from a 12 min video than almost like a 15 hour discussion

[@karisima6060]

same though

[@9minty]

Martin Velmonte Because you do not listen.

[@9minty]

@@karisima6060 Please elaborate.

[@Brianbravo2000]

@@9minty smart ass we get it you are smart

[@znox_x6165]

We just discussed this for one day. What??

[@Czargonaut]

I got a test tomorrow. Wish me luck boys

[@sneedchuck4291]

dude i am in nightschool when i am commenting this for functions and applications for grade 11 uni/college and about to right the chapter 2 test

[@orange2103]

How did you do lol

[@alnuaimi-5874]

@@orange2103 that was a year ago lmao i have one Now

[@orange2103]

@@alnuaimi-5874 I know that's why I asked 😂 also me too

[@gloomz3r]

@@orange2103 I dont have a test tomorrow, I had a test a few days ago and i failed because i didnt know what was happening, how did you do?

[@nicdanandco.7164]

I learned more watching five minutes of this than what I have for a one hour math class

[@jerichogonzales1290]

I just turned 29 and have decided to take up math now that It's no longer required of me. Never got past trig. This is really helping knock all the dust off. Thanks and wish me luck, I'm shooting for calculus.

[@damnnitsjo7834]

This helped me a lot!!! I’m falling way behind in math and I just learned this..

[@azuretao]

Honestly if teachers put this up then I wouldn't complain.

[@amiliarek7521]

Who’s back at school after quarantine 😩

[@kezziannbennett2627]

Me

[@lovelylipbonesouwwwwwwwolv2198]

Not me I'm still in online school

[@maddyschraff1207]

@@lovelylipbonesouwwwwwwwolv2198 I just got quarentined again for the week and I'm learning this crap. dont understand it. watched this and it doesnt look like the way my teachers showing us so idek anymore. I have another test next tuesday on it😐

[@lovelylipbonesouwwwwwwwolv2198]

@@maddyschraff1207 ikr I dont understand it either and the sometimes the test answers look exactly the same, but I'm starting to understand it. It takes me like 9 hours to submit it because I'm so scared I'm gonna fail.

[@RomeAlone_s63]

Just learned factor trinomials today, polynomials yesterday in my GED math class. The last 2 problem from the video were challenging but I got it after trying it a few times on my own. You break things down so easily. Thanks man 💪🏼

[@kirsikkaotokka9754]

Omg hahah I was looking this up because I obviously need to learn it, but I have the exact same equation as you. This worked out well LOL.

[@nicdanandco.7164]

Kirsikka Otokka Same

[@boldspider6923]

me too bro!!:-o

[@fuinor97]

I feel like I’m being taught by mark wahlberg right now. all seriousness thank you for these videos, complete life saver

[@virginiaw8608]

Ty. Exactly what I needed. I'm grateful for the complete break down of steps and how to do the steps that help find out the smaller parts. So grateful.

[@sarahxlopezz]

*trying to follow along while crying*

[@TOXIC..0]

Samee😢😢😢😢😢

[@KujoJotaro11]

Why yall crying

[@laratv1942]

​@@KujoJotaro11 home issues

[@terrynewman8972]

Just plug in coefficients

[@keys3665]

Bro thx u so much… I have been practicing for a test that lets me skip an entire level of Math for High school, so I have been doing a lot of self-learning. You covered the topics that I couldn't find anywhere else on the internet, and you made them VERY easy to understand. THANK YOU SO MUCH!!!

[@yahyeet5822]

Holy shit you explained more than my math teacher who took an hour (still didn't understand) and I'm just here for like 5 minutes and got it. Thank you so much!

[@thaliagubantes6811]

dude your the best, I would like to hug you for helping me understand math and save my grades

[@edgy3031]

12:00 "lets divide the top and bottom by -4" *_divides by 4_*

[@ojtex47]

-4 bro, -4

[@benjaminbertrand1273]

OMG I LOVE THIS MAN two seconds of this vid and I Lerner’s more then my hour lecture

[@abilestial]

THIS IS LITERALLY SO HELPFUL! I finally know how to actually factor

[@itskidkelly]

Dude, thank you. I spent hours watching a recording of a class that had me so frustrated I was in tears and you’ve managed to explain everything I didn’t understand in 12 minutes. I watch every ad that shows up if I had money I’d give it to you.

[@justjamminjeni]

i dont know why our instructors have to show us the most complicated ways in the universe to solve math problems. this helped a lot

[@donx2341]

You should be a math professor. You explain the material in great detail. You’ll be the reason I past my math course! 👌🏽

[@damon.martin8482]

Bro, just wanted to let you know how much I appreciate your videos, you approach and the way you explain things along with the reinforcement makes learning Collage Algebra easy. Big props, much love and respect. Thanks again (I let the ads play all the way through for you).

[@Lauri.___.]

😮🎉🎉😊

[@vitalyaloves]

taking calculus at uni and i’ve literally watched this video at least 5 times this semester. why is algebra the hardest part of calculus

[@ayelag]

I understood everything at 0:29. Are you superhuman or something bc you just taught me more in 30 seconds than all my teachers combined taught me in 3 years.

[@TrotisApple]

Thank you so much! You really save me. Greetings from Peru!

[@tmsauce4567]

hey great vid really helped me for my test and u did more then my teacher has taught me all year

[@aceprovider21]

Papa Ravioli same

[@c.d5671]

Papa Ravioli ii

[@newkid9807]

O

[@Juststfupls]

I love how the examples on this channel make it so simple! And then it gets harder as we go on

[@mohamedelsawah865]

Had been trying to understand this for over two hours, and I understood it now 12 min :)) so thankful

[@christiannaneto6089]

Thank you!! Literally the first 43 seconds was easier then my math teacher explaining it in a 30-40 minute class period.

[@jillianhill2852]

i have a test tomorrow, and my teacher doesn’t know how to teach me very.. this video helped me out so much! thank you!!

[@user-qt4gk9oo1o]

Rada’s Kitchen How's the test also in which grade are you?

[@danieledwards6550]

Thank you so much for this vid got a test tomorrow and don’t know what I would have done without it

[@w.p.958]

Excellent video. You made more sense in this 12 minute video than me struggling for 2 days with my school's explanations/videos, etc. Many thanks!

[@slion9914]

My math teacher: *_I'm about to end this mans whole career_*

[@robloxtea6124]

slion LOL

[@raze6626]

lol, btw i got a question---what grade do we learn this, i am in 8th grade, and I didnt understand any step he did, I think I am supposed to know how to do this :/

[@elladunington893]

@@raze6626 I'm very late but im learning this in 10th grade (im in canada so idk if that makes a difference) :)

[@la.chrisssss]

I got my FSA (florida standards assesment) algebra 1 EOC today day 1 wish me luck

[@alejandraespinosa7232]

do you go to western high school or middle school

[@kennytran2860]

That sounds fun( actually not sarcastic)

[@user-lh3ic7ym8h]

FSA's are better than STARR. Trust me. I took both the Texas STARR and the FSA.

[@sync4183]

@@kennytran2860 i just dont understand how u would think thats fun

[@oi-uf8vy]

I subbed because you explained this in one min vs my teacher who took 4 days thank you so much

[@faithjulianeblasco6135]

Who are here because you cant understand trinomial in grade 8

[@ChaplainAcosta]

Thanks. It took me a couple of times, but your explanation is something I can understand and replicate. You rock, man.

[@danielm17]

This is actually soooooooooooo helpful. Our algebra 2teacher only taught us to guess and check and this method is so much more efficient and quicker.

[@BenjaminNethavhakone]

Teachers make this so difficult to understand,you make it so easy👏

[@Gawain-hi5pd]

I was confused with this stuff so I watched this video. It helped a lot. Thank you.

[@jocelyn47]

I’ve learned nothing this entire month in my math class and this 12 minute video literally taught me the entire chapter.

[@MarkudiPlays]

holy shit! you explained everything i needed to know better than my teacher! fucking love it!

[@illegalskittle9637]

yes thanks

[@noor-gassim]

Language! Just kidding lol

[@raze6626]

lol, btw i got a question---what grade do we learn this, i am in 8th grade, and I didnt understand any step he did, I think I am supposed to know how to do this :/

[@vicentpabalinas4137]

@@raze6626 yeah I'm also grade 8

[@Moonie469]

This is a blessing among the math gods thank you. You explain wayyy better than my teacher

[@valramirezr4485]

I know a lot of people have said this but THANK YOU SO MUCH! This is really helping me understand and learn how to factor.

[@rethabilemofokeng1698]

Tjo! O masepa aubuti hle!! And I mean that in the good way. We appreciate you!!

[@sayixumu8989]

Lmaoo !! weird seeing a south african here

[@Crystal-zv7zs]

@@sayixumu8989 lol soo weird....i was so shocked.....nd dat comment I'm sure de guy does not understand a thing he said😂😂😂

[@georgesadler7830]

MR. Organic Chemistry Tutor thank you for Factoring Trinomials the easy and fast way. This material is common in mathematics at different levels.

[@fabianbaca5285]

OMG!! I spent 2 hours trying to learn what I just learned in this video!!! How can I ever thank you!!!

[@norvele1234]

Thanks bro had to relearn going the take the asvab you rock💯💯

[@toxicchan8164]

I re watched my teacher's 7min video on one question like 100 times just to come here and learn it in like a min

[@theangrydog722]

this man is more helpful than my teacher thank you so much

[@fieryfiend6589]

THANK YOU SO MUCH! edit: you are literally the best teacher i shared your video with my whole class

[@specialassassin1260]

Thank you man You helped me so much I appreciate that

[@livelifetothefullest.4561]

This literally helped so so much!!

[@jasmineantoinettedelacruz5662]

i ranted at my friend and i'm very upset because i can't even understand the lesson so as my classmates (my teacher doesn't teach and just makes us read the book). my friend recommended me this video and sent me a link and i can't understand WHY DO I EVEN NEED TO CRY AT THIS LESSON WHEN IT'S THIS EASY??!! THANK YOU VERY MUCH!

[@Capturedthrills]

Dude I can’t explain how much I appreciate you and how you simplify it and make it so much easier to solve these problems, my teacher writes out way too much work that’s unnecessary and you just made it so easy for me THANK YOUUUUU

[@mayorotimiogundele406]

He sounds like mark walberg

[@TheOrganicChemistryTutor]

I don't think so

[@odysyhd5308]

OH MY GOD U ACTUALLY DO!!

[@elizabethfurman341]

mayo rotimi ogundele

[@originaloreos9334]

mabye itz him...

[@MsNaps-ri1sc]

I didn't notice until I read this comment. Now it's all I can hear.

[@Jackjack-de7nw]

Thanks for the math lesson mark walhberg 👍. You're one smart ass actor.

[@user-rj8df3vj2i]

lmao thanks I will never unhear this.... haha

[@Mr.Lamm.]

Man I can even explain how easy you made this to understand I love you my man

[@owl9521]

Thankyou so much! My teacher does it the hardest way possible, by writing out every possibility and guessing. We learned it before, so this is a great review. Thankyou! You saved the day again.

[@itisme2001]

For 3:36 There is an even easier method to do that 2x^2+-3x-2 -> multiply 2 with -2 x^2-3x-4 -> -4 and 1 are what gives us -3 (when added) and -4 (when multiplied) (x-4)(x+1) -> so now, you divide both sides (-4 and 1) by 2 (the original coefficient of x^2) (x-4/2)(x+1/2) -> 4 is divisible by 4 but not 1 which means that is where the coefficient would be put (x-2)(2x+1) This is it hope it helps!!

[@babz527]

I’m sorry but I don’t get why you made the 2x and 1 into a bracket and how both brackets didn’t cancel out

[@anaulloa3282]

I was looking for easy ways to make quick factorization, this guy is amazing !!!

[@Tyler_ripps_lips]

Really helpful. I have been absent and this has helped me stay with everyone else.

[@AeolusPlayz]

Thank you!!! You're a life saver!!!!!!!!!!!!

[@SnoWyJr]

thanks I pass my maths quiz with a 90

[@amandas1270]

aww thats too bad:( i'm sure if u apply urself u could get 100

[@user-bc6bc4qd1n]

Amanda S yeah, like YOU could do better. Anyways GG VHyper TV

[@elizabethbrooks3842]

Congrats you passed!!🎉

[@inasilkcocoon]

Congratulations on winning!

[@katiewalt3rs]

Amanda S shut the fuck up

[@Zacktebo]

ive been trying to figure out how to do this all week and you made me understand it in 44 seconds. my goodness. thanks a lot

[@FangTheWerewolf]

You are genuinely phenomenal. You made this so easy for me. Thank you so much!

[@ausarthevile2970]

I have a better understanding of it now, but you didn’t mention anything about factoring a trinomial if the middle term was just a variable. The question I have is 3x^2+x-10

[@reemagawas7851]

The middle term had the coefficient 1. Here the answer would be (x-5)(x+6).

[@nickgursucas1110]

@@reemagawas7851 No the answer would be (x+2)(3x-5) but oh well im late.

[@AvatarRoku999]

3:30 is where the video just goes to shit.

[@sofiasolis6069]

morgan freeman yeah I had to rewind a bit 😂

[@Ilovechimken4]

True I had to rewatch that part lot of times

[@brystonbower666]

Yeah after I rewatched I'm pretty sure it's a way of solving this problem.

[@andresshamis4348]

Yeah before that i was like pff this is a peace of cake and after I wasn’t even skipping the ads to avoid learning...

[@kodycore]

Morgan freeman's name with a picture of Nelson Mandela🤔. Did you get CoNFuSed between them?

[@liviakumagae1068]

My teacher is a good teacher but she’s way too fast, i didn’t pay attention for a couple minutes and i couldn’t understand the entire chapter. This helped so much, thank you!!

[@johnwick7175]

This method is good. I used this as baseline to make a system of equations { α * β = c , α + β = b } {α, β} where b and c are the coefficients in the trinomium, then solve the system. It works very well. Thank you. 😎

[@maxtabiaat4089]

But how do you know if you should say -6 + 2 Or 2 -6 When you put it in the middle

[@dougpurinton1209]

sourceforge.net/projects/dougtrinom/files/

[@katarialhassan153]

I'm studying for a test that I already didn't do, fail is part of the learning process ig

[@marieeem]

How is it that when my math teacher teaches us this for a whole two periods and I don’t understand, but 42 seconds into this video I understand it completely?!

[@andrewgraham6006]

Thanks for uploading this I didn’t understand a bit of it when I was taught this yesterday but u actually explained it well so thanks again

[@ninobatumbakal7519]

a whole hour with my teacher : what i dont understand anything why are there letters in math 1 minute of this video : OHHHHHH I GET IT ITS SO FRICKING EASY

[@JosephStalin-yk2hd]

I have a test tomorrow, hope I’ll pass, thank you for explaining polynomials so well.

[@silhouette841]

did u pass??

[@JosephStalin-yk2hd]

@@silhouette841 yes, I got 84%

[@ilostmyearpodsbtwiamhannah815]

@@JosephStalin-yk2hd YAY

[@markc207]

Thank you brother, you explained the first example so well! It made the rest of the video so much more comprehendible.

[@rozhok.pubg1rozhok.pubg196]

I am happy that you exist 💖, you are saving my maths live

[@oro-oluwatoromo-thewordoft7339]

May God bless you

[@K4MR4N1UK123]

I learn more in 6 minutes than I learnt in my entire school life that includes 12 or 13 years.

[@amandas1270]

u might consider paying attention in class :)

[@TheAPlusTutor]

I teach these same techniques when I tutor! These are so helpful for factoring and make it so much easier

[@littlewolf4177]

I learned it in 9 minutes. This was explained so well ❤

[@jaxser2015]

OMG THANK YOU DO MUCH THIS MADE ME GO FROM ASS CHEEKS TO HELLA GOOD