Learn the ac method for factoring and solving a quadratic equation
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- Опубликовано: 8 сен 2024
- we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors of the quadratic equation.
There are other methods that can be used to achive this including the AC, Berry, Box, Grouping, diamond and mental technique. Once we have factored the quadratic equation, we then apply the product property to solve our equation. When solving a quadratic equation we call our solutions the zeros, x-intercept, and roots.
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Organized Videos:
✅Solve Quadratic Equations by Factoring
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Learn About
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Square Root Method
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Zero Product Property
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | GCF
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | x^2+bx+c
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Difference of Two Squares
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | Perfect Square
• Solve Quadratic Equati...
✅Solve Quadratic Equations by Factoring | ax^2+bx+c
• Solve Quadratic Equati...
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#quadratics #solvingquadratics #brianmclogan
I've had multiple cry sessions because I genuinely have no idea what my teacher is saying, and our tests are the only thing she grades, but you make it so easy. Thank you so much ❤️
You are very welcome Emily, keeping working hard. You got this!!💪
Why are you a baby
@@canthandlemelilbro ikr
@@canthandlemelilbro y'all stop ciber bullying
@@bballhighlights544 turn off your phone 💀
3:58 OK tyler?
adam lone when you be on your phone while the teacher giving instruction 🤣🤣
I was looking for this comment
@@4RjxnTry any combinations of x and change the signs
Keep working until you find the correct factorisation!😂😂😂
OK!??
@@Okay1 ok
I LOVE this teacher. Wish I could take his class. I’ll replace Tyler!
Are you from fmhs??
Replace Tyler 💀
@Muhammad Samji Tyler Is one of the students lmao
@Muhammad Samji Tyler Is one of the students lmao
idiot he’s confusing
I’m literally watching this in class instead of paying attention to the lesson
same bro, same
Relatable
Ultimate flex
I’m watching this in class while writing my fpt
Literally my professor explained this for 3 days and this guy helped me understand it in 5 minutes. Thanks.
I hope Tyler was paying attention lol.
Sasha Sauber it be that way
@@tatiana_filmsnah it dont
@@tatiana_filmsi’m in the mood to piss people off
Man, you are so the BEST. I wish my math teachers were half this great.
happy to be there for you Azid
Ikr
@@brianmclogan 4:36 How did you get the 3x + 1 from the 3x plus 5?
@@M.V6969 he took the terms from outside the parenthesis and put them together
@@dominicstreif7628 but wouldn't it be (in the beginning) 4 instead of -12 because if you add 9 + negative 5 that's four
I think im going to cry!! I have been struggling so so bad with this in math and couldn't for the life of me get it! But your video made it click in my brain! Thank you!!
same
Why am I abt to cry this man is singlehandedly saving my junior year grade
😍
he's really saving my SAT score :,)
Why am I learning this in 8th grade😭
You taught me in 5 minutes what my professor couldn't do in 5 months. Thank you!
Wiz why don't you admit you are stupid. Don't blame your teacher
Thank you so much, you’re the only math teacher who I’ve been able to grasp concepts from. I was literally crying because I didn’t understand at first even after trying to figure it out by asking friends, using my notes, my teacher’s notes as well as looking online for two hours straight. It’s pretty crystal clear now.
I love the large X idea to separate everything. It helps me sort what steps I need to take. This whole videos is great. I, too, was confused about why it was 3x+1, but zee Unveil explained below about how you "merge" the two 3x-5's because they're the same factor. So, you're left with one of the (3x-5)'s and the two remainders, which are (3x+1). That's an important step to explain next time. Still...tyvm, good sir! :)
I still dont get it
Ive seen this before in a lecture but didnt know exactly how to ask for an ac method, ive been using the quadratic formula method when I couldve been using this for easier results. Thank you again! your videos have been so helpful for me!
The quadratic method is super easy in this case and it took me about 60 seconds to find the roots AND plug them into the equation. If A (the coefficient of the x^2 term) is not 1 or 2 then I don't waste time trying to factor it manually. The quadratic formula never fails.
Where did (3x-1) come from?
i have the same question and i cant find an answer
@@abdelrahmansultan8834 I think 3x *3x is 9x^2
Correct. This video helped so much with my math test 😅
(3x+1) is the stuff in red that’s left over after you take away the common bracket of (3x-5)
Why does it change from 3x-5 to 3x+1?
I am in here too wondering the same thing
Do we have any update? I have an exam tomorrow
zee Unveil said this below:
sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped
I've been watching your videos since 5:00pm yesterday preparing for my Precalc exam tonight -- thank you!
I hope Tyler got the lesson lol.
I wanna thank you so much for this video! Seriously, my teacher moves way too fast, and it's with every lesson. I find myself learning through videos online instead. I'm so happy for this video because i tend to over think things...make things a bigger problem than it really is. And so having you explain things in such a simple way, like, idk i don't feel stupid.
Don't overthink things God is with you
hi!!! thanks so much for this! I'm having a hard time at our class since the teacher is fast paced! This helps a lot! :D
It’s 10:36 pm in Chicago and today is my 27th birthday. I finished school years ago and idk why I’m here but I gotta say… I got it almost immediately. You’re a great teacher bc I suck at math. Or maybe it’s the wine 🤘🏾cheers man
I've watched like 6 of these videos about quadratic formula simplifying radicals and now how to factor when a isn't 1. This guy is a madman at math
YOU'RE A LIFE SAVER THANK YOU SO MUCH
OMGG I AM SO GRATEFUL FOR THIS VIDEO, I WAS LITERALLY STRESSING CAUSE I HAVE A MATHS EXAM TMRW AND I HAD NO IDEA ON HOW TO DO THESE. THANK YOU SO MUCHHHH YOU ARE THE BEST.
“Write down all of the factors” when ur number is -360 😃
Ha
mine is -450 :(
You guys have books?
@@DaDoonieBandit i don’t actually, my teacher uses a website called ALEKS that works very similar to a textbook actually! the thing is, ALEKS has horrible explanations so i often find myself coming to youtube for them
@@blaize7450 ye i used to use aleks in middle school for math
right after he got 3x(3x-5)+1(3x-5)=0 i didnt understand how he then got (3x-5)(3x-1)=0 :/
I know its been a year, but if you look he basically drops one of the (3x-5)and multiplied that by grouping the 2 outside numbers 3x and the +1 into (3x+1) in its place.
Sir , I love the way you teach , I have my final for Algebra 2 on Wednesday and I’m watching this to prepare 👌
Ur videos are going to make me cry. Im so happy right now
Kinyamadege __ Calm down there it’s just math😅
it’s 11:40pm on a sunday night, i missed 1/2 this lesson and had to take a test on it and didn’t know ANYTHING now i feel like i could do a whole paper full of this. THANK YOU YOURE A LIFE SAVER
9x5=45=15x3 hence 1/9(9x-15)(9x+3)=(3x-5)(3x+1) is the ans.
thanks
Today is the test and I am sooo thankful for this video. I now understand how to do this.
Literally spend hours trying to figure out what I was doing wrong, why I couldn't solve the quadratic equation with a whole number before x squared. Completely forgot how to do it. Your video was a god send! Thank you!
Mr Sydney so you just wasted your time in highschool factorization and you want to blame your teacher
I’ve been out of high school for almost 7 years now, I threw all the algebra I barely learned into the garbage can upon graduation, now I’m going for a degree and I unfortunately needed to do algebra again and for whatever reason my teacher is allergic to teaching us how to factor so I really appreciate this video actually teaching it. This is a new way to do it from what I remember but this makes it seem easy!
Awesome!!
Studying for college accuplacer. Was an A-B kid in school, yet I was receiving D's and F's in math classes. Videos like these are definitely a huge help!
This man has done amazing things with simply a board and a marker.
thank you!
just wondering how did you get (3x+1) at 4:46
Exactly what I’m wondering
zee Unveil said this below:
sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped
Short, sweet and to the point! I am in differential equations and haven't factored since algebra without a calculator that I programmed to do this for me. My diff q teacher said no calculators so guess who forgot how to the the A C method? Yea, this guy. Thanks for the help! By the way, good job keeping your students involved by using their names to grab their attention back!
At 4:26 onward, how do you go from what you have to what you get? Like how do you factor out that expression?
Oh, for those who don’t know, I figured it out.
You put into parentheses one of the original expressions you had. In this case: (3x-5)
Then put into parentheses the two outside terms. This being 3x and 1 to get (3x+1)
So then you write it as (3x+1)(3x-5)
@@doorlord1521 bruh thank you so much for this
@@doorlord1521 legend.
I've watched at least 3 videos explaining this and this it the only one that made sense!! Thank you so much for posting!
This person in 5 minutes taught me what my math teacher couldn’t in over 2 hours 😂 that just shows how great of a teacher he is
So happy to help!
You just saved my alg. 1 grade. I'm getting into a good high school now. Thanks so much bro 🙏🙏
I’m so happy he has one million subs on RUclips. Well deserved 👏
broooo you the boss, couldn't get this in college and i have an exam next week. The part that i was missing was making the terms into 4 terms and grouping. Thanks, you're a life saver. I feel a little bit better now taking my exam next week
Thanks for teaching the method so clearly. Any suggestion about the idea behind it? I can understand the simpler case, x^2 + (a+b)x + ab = (x+a)(x+b) but I can't quite "make the jump" to the case whete you have kx^2 as the starting monomial
Jesus christ this made understanding this so much easier. Thanks man.
bro you teach this so much better than my teacher LMFAOO
Currently the night before a test, didn't understand it at all, know I am a pro. Thank you you make it so easy your videos are the most helpful thing ever
Love your lessons man they're really getting me through algebra 2
taught me something in 5 mins that I just couldn't get in my classes. wow. thanks much. lol I have a quiz tomorrow
Thank you for this. I never learned this and it makes factoring easier
you are very welcome!
THANK YOU. I struggled figuring out how to do this and you made it so easy to understand in literal minutes. Now to apply this to my test tomorrow!!
It’s crazy that I get what you say before I get what my teacher in honors Alg2 says because, you actually slow it down!! I
Thank youuuu I didn’t understand my teacher I have a test tomorrow on factoring I am definitely passing it
😭pray for me I have a test too
this dude smooth as hell w the caps
Perfect method of factorization, it's just the right way to pass those exams
Thanks man!
You are very welcome Ryan
Extremely Helpful, thank you so much!
Thank youuuu so much helping a lot with basic a level questions
@@calebswabel144 and basic a level
i love you man..... you really make the teaching profession worthwhile. God bless you.
Thank you for refreshing all the steps of the grouping method. Just one thing..in the second line the parentheses shouldn’t be after + sign? just befor 3x ? This metod was always confusing for me, but now after watching this video, all came back and I remember how to solve it. Great video👍
This was aweseomly easy. Helped a ton with my son!
2020 man your the best
This helped me sooo much last minute for my test. Thank you so much!
Thanks once again for teaching me
You can easily just put the number divided by X into y=, in a graphing calculator and you’ll get all of the factors for it. In this case you’d put 45/X into y=. You would’ve gotten the factors for it.
Whoever you are thank you
right now I am watching his videos basically right before my EOC's because my algebra teacher does not know how to teach :)
Thank you so much, I literally haven’t been able to understand this, but I think now I do because of you🙏🏽🙏🏽
Bro has beef with tyler 💀💀💀 3:55
Wow thank you so much you are the best teacher in the world
Bro just made my life easier
Hi Mr Brian M. This equation simply by Factorisation (3X square +1)(3X square -5)=0 then (3X square+1)=0 so 3X= -1= X= -1/3 ; (3X-5)=0 then 3X=5 n X=5/3 Ans is X= -1 or 5/3.
Thank you Tyler
You are my favourite teacher on this
I'm advance studying for grade 7 thank you this is amazing ❤❤
In 4:18 we see that he factors out the 3x-5 but I’m confused why like isnt there a rule where if u removes something I goes somewhere like something like that
You really helped me tn sir I have an algebra final tomorrow morning. May the force be with us all!!!!!
Taking the praxis. This was a helpful review. Thank you
Thank you so much this video was sooooooo helpful GOD BLESS
Thank you so much, this is the best explanation I've ever had to help me with this
Wow man I have a quiz in 6 lessons and you have a vid on all of them you are a legend
you are so helpful man.
Tyler wasn't paying attention for a second hahaha 3:58
I'm glad I encountered upon your channel. This is amazing work you're doing and I hope you keep doing it. Thanks!
how would you solve 3x^2+5x+7=0?
THANKS I WAS REVISING FOR AS LEVEL AND THIS WAS A BIG HELP!!!
Thank you so much for this
Please tell me the answer:
Form an equation involving x and show that it to
2x2-5x-12=0
Check out my q&a livestreams
Thankz alot you are such a good lecture
Good teachings
Thank you so much!!! This video made it finally click in my head!
Thank you so much!
wow
Form 4 student in Malaysia, this was helpful as shit omg. Love you
You are very welcome!!
Truly a lifesaver
On the fourth part where you get (3x - 5)(3x + 1) = 0, where did you get the positive 1 from? Isn't it supposed to be (3x - 5)(3x - 5) = 0?
no try multiplying it back out
Ji m what you did was multiply from the inside only. You’re supposed to combine the outside terms then bring down the 3x-5 so in this case, (3x+1) (3x-5) is correct because both the 3 and the 1 is out of the parentheses
@@Tzuyuuu. I got it now I was also confuse
@@brianmclogan Hiya!! Your video really helped thank you, but i also don't understand WHY it's +1 instead of -5? Please may you help, Thank you!!
@@edencortesi-hennell5566 zee Unveil said this below:
sry i know this is a late reply but 3x-5 is a common factor so they get regrouped as one. and then the term that's outside gets grouped as 3+1. idk if that helped
OMG, this is the video I exactly needed.
How do you know if you need a positive or negative 1?
This was explained just right. cant forget this one
Thank you! 🤘🏻
Great sir 🎉
Mr McLogan, great vid, thanks, but can you please explain to me the maths behind this ac trick? why does it work?
amazing video, but one thing. At the end, when you say factor out what they have in common, why do you say (3X - 5)(3X + 1) ??