Factoring Formula Sheet: bit.ly/4dFNZJ8 Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
I don't know why my grade 9 teacher didn't initially approach polynomials like this. Learning how to factor efficiently and properly is so key moving forward in High school math. This video is really helpful.
They don't teach how to factor in 8th or 9th grade like this because they teach you only formulas..... 4 or 5 I remember. They don't teach you the mechanic of factoring until college. I hated 8th grade and 9th grade mechanical approach of factoring.
Not only does this guy (I wish I knew his first name) masters Maths and Physics perfectly, but his pedagogy is absolutely fantastic. You need to be highly talented to explain things the way he does. And that's only half of it. He is modest (never appears in any of his videos, you only hear his calm voice), not looking for fame but just doing his best to help students, always goes straight to the point without useless blah blah, with simplicity and tons of examples, thus making every lesson extremely enjoyable. In addition, he is a hard worker: if you visit his channel you will see he has made so many videos it's difficult to count them.
Yes and even apologizes for his mistakes. Like, he spent 45 mins explaining this stuff for free, and profusely apologizes when he makes a mistake. Talk about humble. Thank you so much creator of this channel
1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00 2. Factoring polynomials: 3:40 3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47 4. Factoring trinomials using trial and error: 12:14 5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05 6. Factoring polynomials by substitution including negative coefficients and exponents: 18:09 7. How to factor cubic polynomials using sum and difference of perfect cubes: 23:46 8. Factoring polynomials using sum of perfect of squares (radicals): 29:05 9. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors: 31:18 10. Factoring trinomials by completing the square: 36:18 11. Factoring polynomials expressions with 4 terms by grouping: 41:37
@@mademoiselle1542 I had to think about it a while. Abilior is right, there's about a whole semester worth of stuff summarized in this video. But factoring isn't taught all in one semester, it's spread out over 4 or 5 years.
**Completed Timestamps: (credits to Gabe Susman for providing the first 5)** 1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00 2. Factoring polynomials: 3:40 3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47 4. Factoring trinomials using trial and error: 12:14 5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05 6. Factoring polynomials by substitution including negative coefficients and exponents: 18:09 7. How to factor cubic polynomials using sum and difference of perfect cubes: 23:46 8. Factoring polynomials using sum of perfect of squares (radicals): 29:05 9. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors: 31:18 10. Factoring trinomials by completing the square: 36:18 11. Factoring polynomials expressions with 4 terms by grouping: 41:37 idk if these are correct, I just control-F'ed the whole thing, so let me know what I can improve on if u see any errors with this :) happy studying everyone
MY DUDE. YOU HAVE NO IDEA HOW YOU HAVE BLOWN MY MIND. IVE STRUGGLED IN MATH FOR THESE PAST FEW MONTHS BUT I CANT BELIEVE YOU HAVE HELPED ME WITH ALL MY LESSONS IN 45MINS. YOU are a legend.
Unbelievable. Can't believe I didn't find this channel until now. I love these long videos that go in depth from easy to complex on big topics such as factoring. You are a gift
1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00 2. Factoring polynomials: 3:40 3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47 4. Factoring trinomials using trial and error: 12:14 5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05 6. Factoring polynomials by substitution including negative coefficients and exponents: 7. How to factor cubic polynomials using sum and difference of perfect cubes: 8. Factoring polynomials expressions with 4 terms by grouping: 9. Factoring polynomials using sum of perfect of squares (radicals): 10. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors: 11. Factoring trinomials by completing the square: 12. Factoring advanced functions containing multiple variables:
This is a life saver 🙌🏼🙌🏼🙌🏼 this is gonna help my dumbass self with my college class. If ur a Highschooler or middle schooler make sure to study well and get used to it guys or ur gonna be having a tough time with basic stuff like me! Nevertheless if ur about to enter college and were slacking just like me back in school, just know that we can do it lol! Let’s stop slacking and get serious 😖😖😖
I'm in college 10 years later trying to relearn it. Ugh. I thought I was done with this. Nope. Whatever they tell you about never using it again, its a lie.
Love this ,I learned this 37 years ago .I just need to review some of this .It’s one of my favorite .Thank you for sharing your time teaching all of us here .
I am in Precalculus right now, and the method of "A" for substitution is really nice! Especially for factoring e. Thank you! This really does each everything about factoring
You're really saving me here, Organic Chemistry Tutor. I didn't work hard at math in highschool, as I planned to go into the trades. A few years later, I needed two hip surgeries (at 21!?), which changed my plans. I decided to follow my passion for nature and the environment. I know I'm destined to be a scientist, but unsure what I'll do as a profession. I'm starting university and I realized I had degraded to a fourth grade level in mathmatics. I learned from watching you. You taught me. I couldn't multiply two fractions a few days ago, but now I'm neck deep in algebra and understanding it. If I want to work for our planet, I need to understand this math. Thank you, thank you.
I’m going to be honest. Your accent keeps me interested and awake. I hate math; I am a theatre kid. That’s my college major. But your accent makes it interesting to me and it NEVER gets monotone or boring. So THANK YOU 🙏🏼
Doc Playz it helps me. It doesn’t have to help you. I like his voice. You don’t have to. Believe it or not, people can have different opinions. So if you don’t agree with my opinion, don’t agree with it! But don’t come on here and be a dick, because all that does is make people think less of you. Have a good day asshole
@@smiley.rylie.g4415 thats not an opinion, its a fact. His voice is monotone. That is a fact. You can enjoy his voice, thats your opinion, but his voice is monotone, wich is a fact
Don't drop out, life won't get easier, youll just LIVE, without a highschool diploma, can't apply to millitary, police, can't go to college, just stuck with fast food jobs.
I’m taking mine tomorrow and I’m stressed tf out and I’m usually super relaxed and chill but algebra is confusing when you teacher barely goes over the basics and goes straight to the hard shit
i can't ur genius , for me it's literally takes more than 10 minutes just to find the right numbers however i love how i can understand really easily with ur videos
I learned all this stuff 8 years ago in highschool, but have to review it all for an electrician aptitude test. I appreciate the fast pace of your video! Excellent for someone reviewing the material they've learned before. Might be a bit daunting for someone learning it for the first time though.
I think I actually might cry omg this explains everything i was so confused because i'm taking online school and learning factoring and my online professor made completely no sense but THIS I- thank you so much this is so helpfull
I'd bad marks in class but after watching the videos of this guy my life changed (I mean my understanding in class) Now I'm better than those who were better than me)
THIS IS SO GREAT, every single SECOND is worth it. I subscribed. You really know how to teach. Thanks a lot! 15 hours of trying to do this. I find you and i know it!😃
MR. Organic Chemistry Tutor, thank you for another awesome video on Factoring Polynomials using different methods. These are powerful methods in basic and advanced mathematics.
I suck at factoring polynomials bcos i dont listen on my junior year math subjects but here i am watching this tutorial to cope up. IT HELPS A LOT THANKS
The clarity is amazing. I think a good strategy is to watch it all and then write all the problems and the time stamp. The solve them. If in trouble, go to the exavt minute where your problem is.
He explained it perfectly well. If someone doesn't understand ANYTHING about factoring, they're not going to understand everything just from watching one video, no matter how well it's explained.
@@hadassah1965 Use SOAP as an acronym to remember the signs when factoring sums or differences of cubes - SAME OPPOSITE ALWAYS POSITIVE. Going left to right. Say you had the sum of two cubes : (A^3 + B^3) and you wanted to factor it. You would follow this template : (A B) (A^2 AB B^2), but you forgot the signs. Following SOAP, the first sign would be the same as (A^3 + B^3) which is(+) therefore : (A+B). For (A^2 and AB) it would be (-) making it (A^2 - AB) because of the O in SOAP meaning opposite of the first sign, which was positive. Lastly, for (AB and B^2) the sign would be (+) because (AP) means always positive. If you followed all the acronyms correctly, you would end up with (A+B) (A^2-AB+B^2) as the factored form.
Ignore all the depression comments, this is actually a pretty well put together video that you can learn a lot from, it's pretty relaxing too, just pay attention. Really helped me catch up in my Algebra 2 as I was sick for a long period of time. Thanks.
You are actually my hero. I've used so many of your videos just to learn this stuff for fun. Always so clearly explained with lots of examples. Thank you.
Factoring Formula Sheet: bit.ly/4dFNZJ8
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
i love being 19 going into calculus soon and not even remembering how to factor
you're definitely not alone
I’m going into calculus 2 and I’m 19 too. I still have trouble with this subject to this day.
I didn’t even learn how to factor and going to college
Omfg same
@Karla Vazquez lmao, that's literally me rn
I want to cry... this is so freaking helpful if you take the time to watch it!
I don't know why my grade 9 teacher didn't initially approach polynomials like this. Learning how to factor efficiently and properly is so key moving forward in High school math. This video is really helpful.
FUCCCCCK THIS IS ME RIGHT NOW
they teachin this in 8th grade
@@mademoiselle1542 THEYRE MAKING GRADE 9 RELEARN THIS
They don't teach how to factor in 8th or 9th grade like this because they teach you only formulas..... 4 or 5 I remember. They don't teach you the mechanic of factoring until college. I hated 8th grade and 9th grade mechanical approach of factoring.
@@ttteo2771 yeah same I’m in Algebra 2 trig and this is a good refresher to relearn factoring for future concepts
Not only does this guy (I wish I knew his first name) masters Maths and Physics perfectly, but his pedagogy is absolutely fantastic. You need to be highly talented to explain things the way he does. And that's only half of it. He is modest (never appears in any of his videos, you only hear his calm voice), not looking for fame but just doing his best to help students, always goes straight to the point without useless blah blah, with simplicity and tons of examples, thus making every lesson extremely enjoyable. In addition, he is a hard worker: if you visit his channel you will see he has made so many videos it's difficult to count them.
his name is julio gonzalez:)
Yes and even apologizes for his mistakes. Like, he spent 45 mins explaining this stuff for free, and profusely apologizes when he makes a mistake. Talk about humble. Thank you so much creator of this channel
@@jodiecayanga1763 omg thanks i'll remember his name on my entire life
I disagree that him showing up in his videos would be him "looking for fame"; in fact, who knows: maybe that would make his videos better.
Unlike Cunt Academy
1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00
2. Factoring polynomials: 3:40
3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47
4. Factoring trinomials using trial and error: 12:14
5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05
6. Factoring polynomials by substitution including negative coefficients and exponents: 18:09
7. How to factor cubic polynomials using sum and difference of perfect cubes: 23:46
8. Factoring polynomials using sum of perfect of squares (radicals): 29:05
9. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors: 31:18
10. Factoring trinomials by completing the square: 36:18
11. Factoring polynomials expressions with 4 terms by grouping: 41:37
Not all heros wear capes! Thank you!
👍
he taught an entire semester in a 45 minute video wow
This is a whole semester?
this is whole- *WHAT*
@@mademoiselle1542 I had to think about it a while. Abilior is right, there's about a whole semester worth of stuff summarized in this video. But factoring isn't taught all in one semester, it's spread out over 4 or 5 years.
Winter Rain I just learned all of it thoODJSKSJ
@@mademoiselle1542 Yeah, cuz he makes it way easier than school.
**Completed Timestamps: (credits to Gabe Susman for providing the first 5)**
1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00
2. Factoring polynomials: 3:40
3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47
4. Factoring trinomials using trial and error: 12:14
5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05
6. Factoring polynomials by substitution including negative coefficients and exponents: 18:09
7. How to factor cubic polynomials using sum and difference of perfect cubes: 23:46
8. Factoring polynomials using sum of perfect of squares (radicals): 29:05
9. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors: 31:18
10. Factoring trinomials by completing the square: 36:18
11. Factoring polynomials expressions with 4 terms by grouping: 41:37
idk if these are correct, I just control-F'ed the whole thing, so let me know what I can improve on if u see any errors with this :) happy studying everyone
Looking at this a day before a final
Have to do some problem solving
Mine is 30min away
same dude
Same
same lol
MY DUDE. YOU HAVE NO IDEA HOW YOU HAVE BLOWN MY MIND. IVE STRUGGLED IN MATH FOR THESE PAST FEW MONTHS BUT I CANT BELIEVE YOU HAVE HELPED ME WITH ALL MY LESSONS IN 45MINS. YOU are a legend.
Unbelievable. Can't believe I didn't find this channel until now. I love these long videos that go in depth from easy to complex on big topics such as factoring. You are a gift
I'm in college and I'm still bad at algebra. Thanks dude, you make college algebra so much easier to understand.
1. Factor each polynomial completely by using the GCF or greatest common factor: 0:00
2. Factoring polynomials: 3:40
3. How to factor trinomials when the leading coefficient is 1 - x^2+bx+c: 8:47
4. Factoring trinomials using trial and error: 12:14
5. Factoring 3rd degree polynomials using the AC method - quadratic form - ax^2+bx+c: 14:05
6. Factoring polynomials by substitution including negative coefficients and exponents:
7. How to factor cubic polynomials using sum and difference of perfect cubes:
8. Factoring polynomials expressions with 4 terms by grouping:
9. Factoring polynomials using sum of perfect of squares (radicals):
10. Factoring higher degree polynomials using synthetic division and writing the answer as a product of linear factors:
11. Factoring trinomials by completing the square:
12. Factoring advanced functions containing multiple variables:
fucking legend
🙌Thank you, this is very helpful!
I was about to do this
Thanks bro, you’re a real one
@@vintagescvrlet u always looking up the last minute istg
You just explained perfectly and simply what I’ve been struggling to learn for weeks now. I am so happy I found this video!
*years
Taking math finals today and in this entire term, my teacher couldn't get across what this entire video did. Thx brah
This is a life saver 🙌🏼🙌🏼🙌🏼 this is gonna help my dumbass self with my college class. If ur a Highschooler or middle schooler make sure to study well and get used to it guys or ur gonna be having a tough time with basic stuff like me! Nevertheless if ur about to enter college and were slacking just like me back in school, just know that we can do it lol! Let’s stop slacking and get serious 😖😖😖
You're literally so much quicker and detailed and much more clear than my professor. We're reviewing this and you're so much better at explaining.
5 mins in and I’m already impressed, you explained it better than my teachers ever did in high school or in college algebra
we r taking this in grade 8 (algebra 1) lol
@@thejuicymop8128 we’re learning this in Grade 6 since we have a subject called advanced math
But I usually ask my sis to explain it to me since we learn grade 8 math
@@Minettelow sad
what im taking this junior year algreba 2 lmao@@thejuicymop8128
Amazing how a 45 min math video can help you understand more than 8+ hours of classtime
anyone else in grade 12 academic trying to learn factoring again lol
We going to have a 30 seconds time limit for factoring
No I’m in grade 9 trying to learn it lmao
yeah, lord i hate factoring
I'm in college 10 years later trying to relearn it. Ugh. I thought I was done with this. Nope. Whatever they tell you about never using it again, its a lie.
I'm 30 years old learning factoring again
Love this ,I learned this 37 years ago .I just need to review some of this .It’s one of my favorite .Thank you for sharing your time teaching all of us here .
Hello! I’m a grade 7 student, and this has been really helpful. Thank you very much!
Y’know, it’s ironic how an ad about math videos that “actually help” popped up. A video can’t get much more helpful than this one.
I am in Precalculus right now, and the method of "A" for substitution is really nice! Especially for factoring e. Thank you! This really does each everything about factoring
Currently 3 in the morning
I have a final in 6 hours
Did you pass??
@@ronaldruizdeluzuriaga2649 no
@QyUffY this teaches me more than any teacher has thought me
I needed a refresher now that school is restarting and quarantine has made me forget everything. Relearning basically the entirety of 6th grade gang.
th-cam.com/video/T_1bOnEPZxs/w-d-xo.html
They taught u this is 6th grade? damn, I learned in 7th
When you learn more from a 45 minute video than a month of suffering in class xD
You're really saving me here, Organic Chemistry Tutor. I didn't work hard at math in highschool, as I planned to go into the trades. A few years later, I needed two hip surgeries (at 21!?), which changed my plans. I decided to follow my passion for nature and the environment. I know I'm destined to be a scientist, but unsure what I'll do as a profession. I'm starting university and I realized I had degraded to a fourth grade level in mathmatics.
I learned from watching you. You taught me. I couldn't multiply two fractions a few days ago, but now I'm neck deep in algebra and understanding it. If I want to work for our planet, I need to understand this math. Thank you, thank you.
Did I say THANK YOU?!, you are a life saver.
Not only does he have me passing algebra 2, he also has cured my insomnia. 10/10 favorite channel right now.
Thanks man for all these videos, I'm reinforcing my basic math skills for economics! you're a saviour
👌
I’m going to be honest. Your accent keeps me interested and awake. I hate math; I am a theatre kid. That’s my college major. But your accent makes it interesting to me and it NEVER gets monotone or boring. So THANK YOU 🙏🏼
This is one of the most monotone voices possible. Are you deaf?
Doc Playz are you 12 or just an asshole?
Doc Playz it helps me. It doesn’t have to help you. I like his voice. You don’t have to. Believe it or not, people can have different opinions. So if you don’t agree with my opinion, don’t agree with it! But don’t come on here and be a dick, because all that does is make people think less of you. Have a good day asshole
@@smiley.rylie.g4415 thats not an opinion, its a fact. His voice is monotone. That is a fact. You can enjoy his voice, thats your opinion, but his voice is monotone, wich is a fact
Doc Playz I said have a good day 👍🏻
❤️ Everything is easier when you can pause, rewind, repeat, etc a video, instead of a real life teacher or a real time streaming.
I love your voice its so soothing
i love his little accent
he has no accnet
I loved it , it's pretty long 🙂
hell yea
It's funny to think that Mark Wahlberg does this in his free time, such a diverse man!
Thank you for all the great videos you make! You are a very good teacher.
I have NEVER understood factoring and this literally just made it all make sense. THANK YOU THANK YOU THANK YOU
This is was SO helpful!! Thank you! *subscribes*
farhanah Ahmed i
Came back here, because of pre calculus limits
Very useful method, will definitely help me in my Linear Algebra exam tomorrow!
How was your exam
this guy is the only thing that is keeping me from dropping out
Don't drop out, life won't get easier, youll just LIVE, without a highschool diploma, can't apply to millitary, police, can't go to college, just stuck with fast food jobs.
I got a 100% on my EOC only because i watched this video the night before.
For real my eoc was horrible we learned so much but it wasn't on the Eoc smh not even factoring
I’m taking mine tomorrow and I’m stressed tf out and I’m usually super relaxed and chill but algebra is confusing when you teacher barely goes over the basics and goes straight to the hard shit
i can't
ur genius , for me it's literally takes more than 10 minutes just to find the right numbers
however i love how i can understand really easily with ur videos
Why do we need school? When internet is more helpful than school?
School is useless.
Because without school there would be very little, if any, motivation to learn
Pumitri II there would still be test, but you have to learn the material online. This way, there is still motivation to learn (this is like college
Do you think you will watch these type of videos when you dont have a test the day after?
@@lancerexdeleon8524 you're toxic
Here since online school lmao. Btw I LOVE YOU DUDE YOU MAKE MY LIFE EASIER AND MAKE ME ENJOY MATH. 🥰
What ever I don’t get he helps me get it he’s actually legit a life saver
I learned all this stuff 8 years ago in highschool, but have to review it all for an electrician aptitude test. I appreciate the fast pace of your video! Excellent for someone reviewing the material they've learned before. Might be a bit daunting for someone learning it for the first time though.
Im studying for the Aptitude test as well.. How did you do.. did this help?
where are my energy points?? X)
musicalgrace7 khan lol
same issue w dat
Studying during quarantine! This is a great advantage for me! TOOK ME A WEEK TO UNDERSTAND EVERYTHING IN THIS ALGEBRA COURSE!
'-'
Can you please explain to me how he took the variables from each term and made the degree of the variable go down? An example would be at 2:55 - 3:32
Phenomenal work. Thanks for putting in the time to create this helpful video which deserves more views.
Wow he has talent for teaching!! This video contain from basic polynomial to advanced.
Can you please explain to me how he took the variables from each term and made the degree of the variable go down? An example would be at 2:55 - 3:32
Thank you for your amazing videos. You've helped me get through both pre-calc and calc.
I think I actually might cry omg this explains everything i was so confused because i'm taking online school and learning factoring and my online professor made completely no sense but THIS I- thank you so much this is so helpfull
Im learning more here than my school math teacher
you are the best teacher you have to address the greatest number of possible factorization cases thank you soo mutch
Thank you so much this helped me a ton god bless ur soul
I'd bad marks in class but after watching the videos of this guy my life changed (I mean my understanding in class)
Now I'm better than those who were better than me)
Wow! I learnt a lot from this video! THANK YOU, I was behind on my algebra skills but now I think I'm way ahead :-) xx
now watch a video about grammar:)
Savage level 9999999999
@@picture669 you need to watch a video on how to stop being annoying
the spice king channel eh
THIS IS SO GREAT, every single SECOND is worth it. I subscribed. You really know how to teach. Thanks a lot! 15 hours of trying to do this. I find you and i know it!😃
MR. Organic Chemistry Tutor, thank you for another awesome video on Factoring Polynomials using different methods. These are powerful methods in basic and advanced mathematics.
Thank you. I'm in 7th grade taking accelerated math and it sucks man 😭 this helped a TON tysmm
thanks so much for this!
@Albino knee ger >knee ger
I suck at factoring polynomials bcos i dont listen on my junior year math subjects but here i am watching this tutorial to cope up. IT HELPS A LOT THANKS
I used this to do my hw I still don’t know shit
i love how its easy to understand i find it amusing how he said thats a terrible three
18:08
Bless your soul fr
Why
Okay bless you
Lol lol it helps engineering students too 😂😂😂
iamrao31 07 yup
iamrao31 07 laws help us
iamrao31 07 lawd*
looolll so true
THANK YOUUUU❤❤ you save my life, now I'm ready for the final exam. And all becouse of you 😘😘
Jesus loves you ❤️
The clarity is amazing. I think a good strategy is to watch it all and then write all the problems and the time stamp. The solve them. If in trouble, go to the exavt minute where your problem is.
Excellent explanation
I just loved it
💙💙💙💙💙💙💙💙
Really......
I have better explanation
2+2=4-1=3 QUICK MATHS
This is insane.. ive never known these techniques during highschool and college.. thank you so much sir!!😭 You deserve a billion clap
There are parts that you don't explain very well, that I could see people who don't understand ANYTHING about factoring not comprehending.
Hannah Noneyabiz i understood it
He explained it perfectly well. If someone doesn't understand ANYTHING about factoring, they're not going to understand everything just from watching one video, no matter how well it's explained.
Like which parts? You should let him know where so he can work on fixing it.
Hannah Noneyabiz well it’s kinda for like a quick reminder if you forgot or didn’t understand the lesson
I understood everything lol
I don't think you understand how much you'v helped me understand. I come here for every type of math problem. Thank you!
Use the SOAP method for the trinomial cubes. It's easier to explain.
Hannah Noneyabiz what's the soap method??
Harrah's silent voice Soap method helps you remember what the signs are in the factored form.
@@TheJoey3590 Could you explain the SOAP method?
@@hadassah1965 Use SOAP as an acronym to remember the signs when factoring sums or differences of cubes - SAME OPPOSITE ALWAYS POSITIVE. Going left to right.
Say you had the sum of two cubes : (A^3 + B^3) and you wanted to factor it. You would follow this template : (A B) (A^2 AB B^2), but you forgot the signs.
Following SOAP, the first sign would be the same as (A^3 + B^3) which is(+) therefore : (A+B).
For (A^2 and AB) it would be (-) making it (A^2 - AB) because of the O in SOAP meaning opposite of the first sign, which was positive.
Lastly, for (AB and B^2) the sign would be (+) because (AP) means always positive.
If you followed all the acronyms correctly, you would end up with (A+B) (A^2-AB+B^2) as the factored form.
I just started taking college classes again and I used to love math but relearning it has been stressful. This video helped so much! Thank you.
Not easy alot of confusion
Honestly you made this so freaking easy. I thought it was going to be a whole really complicated process
are the brackets necessary for the factor?
XxIdiotGamerzxX yes so they are separated and don't get mixed up
If you don't separate the terms with parenthesis, brackets and braces, you'll mess up everything in your calculations
It depends if ur rlly good at it
The Consistent method LITERALLY SHOCKED ME TO THE CORE OMFG
Thank you Senpai ! ! ! Please notice me ! ! !
Thank you for saving me about this topic. It was so hard especially our teacher literally is so fast when teaching this.
I actually have a good math teacher, but she moves so fast and her sarcasm is slightly embarrassing. TH-cam is going to get me through Math 101
Thank you so much for this video! You teach better than my math teacher!!!!! I even passed the test, I can't believe it! THANK YOU SO MUCH
cap
Ignore all the depression comments, this is actually a pretty well put together video that you can learn a lot from, it's pretty relaxing too, just pay attention. Really helped me catch up in my Algebra 2 as I was sick for a long period of time. Thanks.
You are the greatest youtube I've ever seen
i learned 45% of the entire math in just one video! thx so much, you're a literal life saver!! T~T
Look at me here, not for a test, but for homework, online homework
You are actually my hero. I've used so many of your videos just to learn this stuff for fun. Always so clearly explained with lots of examples. Thank you.
Me too. This guy gave me the confidence to get a bachelors degree in chemistry. Thank you
OMG, after 3 days I finally got the point. thanks a lot
I missed an inportant day of explanation at school. between this and your other video I'm extra prepared. I really appriciate what you've done
You're the sensei of our generation ❤
is better to do the binomial (200x^4 - 288y^6) the way he did it or should i continue doing it using GCF first?
You saved my grade 7 honors algebra future bless you
Best factoring vid on YT. Thank you my brotha
I liked this video for you,because you used 45 minutes to teach us.you teach very well
Thank you sooo much. Everything is so clear!!! You are so good!
Incredible videos
this really helped me in my test thanks so much
A life saving video without doubt, I can only say thank you for covering everything from the ground up - really helped me out!
His a good explainer l like watching his videos
sitting here sobbing cuz i dont understand math, then i come across this channel and it solves all of my problems