Factoring Trinomials With Leading Coefficient not 1 - AC Method & By Grouping - Algebra - 3 Terms
Вставка
- Опубліковано 17 жов 2024
- 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
Factoring Formula Sheet: bit.ly/4dFNZJ8
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
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.
When you know the previous or basic procedures.
If you don't understand something, go back, take it easy, master and come back 👍
not fun, barely useful
it’s only satisfying when you know how to use it but it gets boring after about two problems
@@cookie0329 well that depends on what job you wanna take
Nah it’s boring and hard
Explained it wayyyyyy better than my teacher.
Thank you so much
ishan bhardwaj agreed!!!!!
facts my teacher goes too fast
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
@Nikson Thomas In order to make -5 you must add -6 and +1, doesn't matter which order they're in but as long as they exist in their correct corresponding values it doesn't matter, I could put 1-6 or -6+1, it wouldn't make a difference.
YESSIR
you literally saved my life i have a test to finish and turn in by tonight and I had no idea what I was doing and no one explained it well enough for me to understand. THANK YOU !
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. "
what a meme
how dumb r u
how tf did you get masters if you cant even do this, this just proves how useless teachers are
SAS Smirksy u don’t remember EVRYTHINGGG U HAVE KEAREBD U DUMBASS
@@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?
This guy explained how this worls in 3 minutes. I wish i found this earlier. Guess i'll be taking a test now
@Jordan Burns Thanks, I think I got a C though. But idk
@@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
@@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!
@@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.
Hi, thanks for sharing your knowledge. Your teaching method has literally, improved my understanding in factoring trinomials.
Glad to help
@@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
i am taking a college algebra course (i SUCK at math and this is the only required math course for my degree, thankfully) and have been struggling for the longest time with factoring equations with leading coefficients greater than 1. this helped me SO much. i can FINALLY CONFIDENTLY factor them. recommending this channel to EVERYONE taking a math course. tysm!!!
THANK YOU SO MUCH! I have a quiz on this tomorrow and you helped me understand. Please do future generations a favor and become a math teacher! You would be great at it! (That is if you're not already a math teacher...)
Thanks, teacher couldn’t teach due to the quarantine, so I needed this.
Ive literally watched a dozen videos on how to perform this operation-even watching the Khan Academy videos, and this is by far the best explanation of factoring quadratics when leading coefficient is greater than 1. Thank you so much
Excellent video
Thank you so much!!! I was so confused how my teacher explained it. I’m gonna ace my test tomorrow!!
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.
Here are some more examples:
ua-cam.com/video/mXvt9OumKH8/v-deo.html
@@TheOrganicChemistryTutor GOAT
The way you explain is so clear and straightforward.
You're a very good tutor!
I wish you would make a longer video for this.
omg u literally saved my life i didnt understand anything on my algebra homework this is why we need more ppl like u in this world THANK YOUUU
I AM a teacher, and this is explained waaaay better than what I was going to. Thank you! Very helpful.
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.
i have a “test” on this in quarantine .🤦🏽♀️
lol i did too
Bad time to be grade 10 or 11
@@Master_K14 bro u do this in 8th grafe
@@Master_K14 frrrr im grade 11 now but was in quarantine for grades 9 & 10 ://
@@mia2195 maybe in your country
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!
I'm doing trig identity functions right now, and i needed this refresher, thank you!!
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.
*Your
(I haven't studied math for nearly half a decade and I understand factoring trinomials by just watching this video with your assistance, thank you so much!
I needed this for my calculus test for graphing functions findinging extrema and stuff! Thanks!
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!!!
(I haven't studied math for nearly half a decade and I understand factoring trinomials by just watching this video with your assistance, thank you so much! ^^
Bro, I just want to thank you for always saving my life.
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
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!!!
You just broke through so many barriers in my brain. I finally got the "ah-HA" moment! Thank you so much.
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!!
Thank you so much! You are a blessing! I have been struggling with this for years. I tried this with an equation from my exercise book and I solved it! It's a great personal accomplishment for me. Thank you!
kind of weird, I had the same exact first example problem that I was working on. Thanks.
Thanks for explaining this better in 3 minutes than my teacher did in 3 days
THANK YOU I had a test tomorrow and I now actually have a chance at passing it
Junior at college and still didn't know how to do this, thank you!
You are so good. Thank you so much. I love how simple you put it. Thank you for being public.
I've never tried this method before, but man does it work out!!! Thanks for making Maths so much easier. This method is way quicker than the one I've been doing 😁
The AC method + Grouping is the most common approach for factoring trinomials (besides trial-and-error). The only down side to the AC method + Grouping is that the constant can get quite large (when doing AC). Sometimes, it's faster and easier to use a version of trial-and-error, using Tic-Tac-Toe factoring. I love it.
you literally just saved my life
I'm taking calc right now and I forgot how to do this. Thank you for saving me.
This guy is so much better at explaining it than my teacher thank goodness
Thank you so much! I’m watching this less than an hour before my test on factoring polynomials 😭😭😭😭
Thank you sooo much! I have a huge test today and you just saved my butt!
Thank you. Without you, then I would have never found the trick of factoring by grouping that works almost every time when you are dealing with leading coefficient that is greater than 1
Thank you for the explanation
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
Thanks! You're a life saver and i enjoy your teaching style
morning of my polynomials final watched this video-cleared up all the questions i had previously! Underrated and ill acknowledged channel! Thank you so much for your concise explanations and comprehensible instruction.
Best math teacher ever
Man, you just earned a subscriber.
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.
you saved me i have a test tomorrow!!! 😱😱
Thank you sooo much man you helped me understand it soo much better
mans is better than my math teacher
thank you so so much
deadass took you 3 minutes to explained what my math teacher couldn't in an hour
Thank you. It helped me clarify a few things.
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
Always come back to this video cus I'm forgetful thx lots!
all these people talking about how they understand it but i cant 😭
SAME
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! 👍
Yeah man, like Hermit Card said, you can do it!
@@hermitcard4494 yes first you should avoid doing desperate and the go back and Lear the previous stuff
Got it
Ive been failng all my math tests caz i still cant understand this
thank you so much
thank you SO MUCH. you are a life saver
thank you so much for this. srsly crying rn because i thought i was gonna fail my test tomorrow since i didn’t understand anything from my teacher
YOUR A LEGEND!! LEGEND I SAY!! THANK YOU MATE
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
im in Ap calculus and got a 1510 sat but im still here
I wish you were my teacher bro thank you so much
Dude you are such a life saver thank you very much!!! My mans over here saved my ass.
You explained this perfectly in 3 minutes, thanks
Oh my go thank you so much. The website our professors have us use for math is god awful at explaining stuff because they make it way more complex than it needs to be. Thank you 😭❤️
i have to come back to this video every single year
You know the day is saved when you hear this voice
I feel like I watched this video back in 8th grade when I was taking algebra. now im a freshman in college watching this and it seems oddly familiar lmfao. I guess I've always struggled with it but this method makes so much sense to me!
If the first problem, does it matter if the -3 and -5 are switched? So for example 2x-3-5x?
Thanks 🙏
OMG thank you it is 10:30 and I couldn't figure out how to do this
You're a lifesaver. Thanks a lot!!
Ur a goat you just potentiALLY CLUTCHED MY FINAL
This slaps so hard thank you. Thank you sooo much!!!!
THIS IS SO GOOD IM A COMPLETE TRINOMIAL FACTORING GOD NOW
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
Thanks, this lesson is too hard for me to understand if I just try to read and understand the steps in the book.
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
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.
thanks bro, much easier now
i was told this was grade 6 math im in grade six and the person that told me this was grade six math THANKKK uuuuu now ik how to factor polynomials trinomials and quadratics
Organic chemistry you are the math god!!
Thank you.
Thank you 🙌🏼😇
Thank you again 😭
you are saving my grade
Beautiful explanations, great refresher, thanks :D
Wow u explained very well ...
I used the same method on my channel
Very helpful thank you sir!
In calc 2 learning partial fractions and this helped a lot.Thanks
Thank you for your videos, it has really helped me with my math class
THANK YOU man. That makes sense.
Thank you, This helped a lot!
So helpful! Thank you so much for your services!
Thank you men!!! you make life easy...
u just saved my life tysm
I love you man
sooooooo much easier for me to comprehend!