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How to Factor a Trinomial When a is Not 1 Explained! (AC Method) 

Mashup Math
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On this lesson on factoring trinomials, you will learn how to factor a trinomial when a is not 1. When the leading coefficient is greater than one, the factoring process (the AC method) is a bit different--let's see why!
For more MashUp Math content, visit www.mashupmath.com and join our free mailing list! :)
This lesson answers the questions: How do I factor a quadratic when a is not 1? How do I solve a trinomial? How do I solve a quadratic? How do I find factors? What is a trinomial? What is a leading coefficient? How do I find the zeros of a function? How do I find the factors of a number?
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12 окт 2015

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Комментарии : 81   
@zoarfreeman4334
@zoarfreeman4334 3 года назад
This is the best explanation I found to help with my grandaughter's homework. The teacher's explanation was so confusing
@criseastman6503
@criseastman6503 3 года назад
Thanks so much. I have an exam tonight and I was confused until watching your video. You are a lifesaver!
@ivanvjcha4166
@ivanvjcha4166 8 месяцев назад
Broo Same
@Ellie-uz3tl
@Ellie-uz3tl 8 месяцев назад
@@ivanvjcha4166 eyyyy I had a test 8 days ago too
@tomburt709
@tomburt709 Год назад
Literally said to myself "it can't be that easy." This helped so much especially with studying for finals!
@yassineo3167
@yassineo3167 3 года назад
dude u deserve a nobel prize or sumn this saved me
@Maddiecat1334
@Maddiecat1334 11 месяцев назад
Thanks I just needed someone to explain it to me again when I wasn't half asleep at 7 in the morning.
@shawnremy9017
@shawnremy9017 8 лет назад
Great video, Anthony. I am the only teacher in my department who teaches it this way. Having the benefit of an interactive whiteboard, I color code the steps, which I appreciated in your video. The process has many names, but I refer to it as the AC B method to help students better recall the first few steps. This is my new go-to supplemental video for this topic. Thanks!
@MashupMath
@MashupMath 8 лет назад
+Shawn Remy Thanks! I actually just made up the name "conceptual method" so that I could differentiate it from the trick methods. I'm so glad that you found the lesson useful and really appreciate the support. We'll be posting several new lessons every week so stay tuned! -Anthony
@allisonh2049
@allisonh2049 8 лет назад
+Shawn Remy I also teach it this way!
@mariebourgoyne7733
@mariebourgoyne7733 8 лет назад
I checked out your AC method of factor quadratics with leading coefficients other than one. I was impressed. It was very coherent and pretty easy to follow. It was one of the better videos that I have ever seen. One suggestion for improve is to use a visual model to help students to see these common factors, using a four corner box, with the top right containing the leading term, the lower right containing the last term, and the other two box containing the split terms. Then, have students factor out the common factors to the outside of the box, which will show the final factored quantities. If you had that element, it will reach more students. Keep up the great work. I will tell my fellow math teachers about your channel. Good luck and thank you for the resource,
@MashupMath
@MashupMath 8 лет назад
+Marie Bourgoyne Thanks so much for checking out our channel and for your feedback! :)
@pxnkskittles
@pxnkskittles 2 года назад
thank you so much, i’ve been stuck because i got quarantined and this really helped!
@SchlundaLeslie
@SchlundaLeslie 5 месяцев назад
You have just taught me something that I have been trying to figure out for years!! Thank you sooooo much!!
@TrueNorthGaming47
@TrueNorthGaming47 6 месяцев назад
I'm relearning math for university and this was helpful for my first assignment. Thank you!
@froggy878
@froggy878 Год назад
What happens if you CAN pull a GCF on the first step?
@PresidentNathan
@PresidentNathan 3 года назад
What if there is no GCF in step 3? Do I just do 1(a+b)? (a and b are just substitutes for numbers)
@CaliGRITS
@CaliGRITS 3 года назад
Which software do you use to create these videos?
@alyssacoppock3467
@alyssacoppock3467 7 лет назад
This is a good video. You should do a bunch more. It helps a lot of people.
@allisonh2049
@allisonh2049 8 лет назад
Finally! I always teach factoring this way.
@MashupMath
@MashupMath 8 лет назад
+Allison H Awesome! It takes a bit more time for students to understand how to do it this way, but it makes much more sense mathematically.
@trenttabor8213
@trenttabor8213 6 лет назад
Good job and thank you for your help. Wish me luck in boosting my E in math.
@schoolwithapril9531
@schoolwithapril9531 Год назад
OMG thank you! I hate the box method, they never remember it properly. I never realized this method involved factoring by grouping. Love your formatting and color coding, truly helps!
@thebestmathacademy8838
@thebestmathacademy8838 Год назад
I agree
@annacaldwell-uy5go
@annacaldwell-uy5go Год назад
you just saved my life
@toobrokentolove5415
@toobrokentolove5415 2 года назад
You just saved my homework grade from tomorrow
@HayesWorldofMath
@HayesWorldofMath 8 лет назад
Like the informal tone and graphics - you have a great start. I have taught factoring this way before. Biggest question is this: CCSS stresses understanding the hows and whys things work, not just doing a process. Does this work? Yes. Does it really help students understand why the process works? Not really. Do I have a better way of doing things that stresses the conceptual side instead of falling into a series of steps? Not really. Many of my videos fell into step-driven methods that I'm trying to get out of. Just trying give some feedback. :) Good luck with the project!
@MashupMath
@MashupMath 8 лет назад
+Hayes' World of Math Thanks!
@scarmackd1498
@scarmackd1498 2 года назад
I absolutely despise when math teachers just give a series of steps to do, without any explanation of what we're actually doing. Now that I'm learning precalc on my own, i love that I can learn the why as much as I want :D
@jackysantos1630
@jackysantos1630 4 года назад
Awesome video. Thank you
@treborngoochdelamarxvi9775
@treborngoochdelamarxvi9775 Год назад
Thanks for this dude! I forgot how to factor like this and you made it hella easy.
@samarhaann5999
@samarhaann5999 5 лет назад
Very understanding video IT gives a lot OF Help for a student like good job
@iamv0id202
@iamv0id202 2 года назад
thanks, forgot how to factor for an upcoming test, only good tutorial i could find
@bakedblessings9405
@bakedblessings9405 Год назад
I want to say thank you! This really helped me! God bless you :)
@boinbo8090
@boinbo8090 5 лет назад
Thanks this factorization method was helpful. How do i solve expressions of the following types 2(x+y)^2-9(x+y)-5 ? i am unable apply the method explained to get the right answer.
@searturquoise
@searturquoise 3 года назад
I dont think it can be factored
@rob3079
@rob3079 2 года назад
I got [2(x+y) + 1][(x+y) - 5]. You need to assign x + y by a single variable to make the solving easier. For example, let x + y = n. So, 2(x+y)² - 9(x+y) - 5 = 2n² - 9n - 5. Then, solve it using the usual factoring. You will get 2n² - 9n - 5 = (2n +1)(n - 5). Lastly, substitute the x + y back to the n since you declared that x + y = n. That's why 2(x+y)² - 9(x+y) - 5 = [2(x+y) + 1][(x+y) - 5].
@AC-ot7ii
@AC-ot7ii 5 лет назад
very helpful!!!
@gabe5225
@gabe5225 Год назад
im in differential equations and had to look this up :')
@schrodinger1cat
@schrodinger1cat Год назад
thanks so much!! you literally saved my grades-
@Slitspop
@Slitspop 5 месяцев назад
Thank you so muchhh!!!
@reubennepo7875
@reubennepo7875 2 года назад
THE SOUND EFFECTS 💀 (your not nice with it)
@christinevicars3854
@christinevicars3854 Год назад
I am helping my high school special ed students in their Math II class. Your explanations are so clear. Thanks .
@thebestmathacademy8838
@thebestmathacademy8838 Год назад
Excellent video
@omincat2703
@omincat2703 7 месяцев назад
does this make me special Ed 😮
@shamulol
@shamulol 6 месяцев назад
@@omincat2703if you have to ask ……
@thebestmathacademy8838
@thebestmathacademy8838 Год назад
Excellent video
@cloroxbutbad4904
@cloroxbutbad4904 Год назад
THANK YOU SO MUCH
@tanyalovelace406
@tanyalovelace406 11 месяцев назад
Easy to follow video. Thank you😊
@MashupMath
@MashupMath 11 месяцев назад
You’re welcome 😊
@jengafuel
@jengafuel 8 лет назад
We call this master product method. It is effective but slower and not as efficient once the routine of effective guess and check has been established.
@MashupMath
@MashupMath 8 лет назад
+Jason Engelhardt Hey! It definitely takes more time, but we always prefer conceptual approaches that get the students thinking mathematically instead of just procedurally.
@utmocanimations4136
@utmocanimations4136 3 года назад
Amazing I thought I wasn't gonna gets all of these
@yourweebfather3366
@yourweebfather3366 3 года назад
lol Hi, studyin math aswell eh? I didn't get the discussions or recordings in class either
@utmocanimations4136
@utmocanimations4136 3 года назад
Well I guess this video will tell you cause I got it after watching
@yourweebfather3366
@yourweebfather3366 3 года назад
@@utmocanimations4136 yeah, I got it thx
@xoppa09
@xoppa09 6 месяцев назад
Why does this method work? We can show it works by looking at the problem backwards, starting with the final factored form. Assume your quadratic trinomial factors into two linear binomial factors, without loss of generality (ax + b)(cx + d). This expands and simplifies to acx^2 + (ad + bc) x + bd. But note that ac*bd = ad*bc , by the commutative property, and ad + bc happens to be the coefficient of the x term. So it is sufficient to find two factors of the product of the first and last coefficient, i.e. ac and bd , that add to the coefficient of the x term. This guarantees factoring over the integers.
@anmoykar7572
@anmoykar7572 7 лет назад
it is very good
@milogasset
@milogasset 2 года назад
Anmoy Kar Anmoy Kar
@luksramirez2249
@luksramirez2249 Год назад
thanks a bunch
@thebestmathacademy8838
@thebestmathacademy8838 Год назад
Excellent video
@maxonrelaxon
@maxonrelaxon 2 года назад
Harriet Tubman was a member of the Order of the Witwiccans, a group of humans who knew of the presence of Transformers on Earth and worked to keep their secret. A portrait of her was included in Edmund Burton's collection of Witwiccan and Cybertronian artifacts.
@attilapal3786
@attilapal3786 2 года назад
thanks
@GoblinCorn69
@GoblinCorn69 2 года назад
skip to 5:21 if you dont want to sit through the whole video
@trenttabor8213
@trenttabor8213 6 лет назад
My math teacher uses criss cross method. Are you familiar with this. Can anyone point me in a direction of how to do this?
@tommyb959
@tommyb959 2 года назад
Can you do one with even numbers? I’m struggling with the even number ones
@chocolateangel8743
@chocolateangel8743 2 года назад
If you have a trinomial with even numbers, your first step should be to factor something out.
@silverguerrero6719
@silverguerrero6719 Год назад
im confused how he got +2 from -3 and -6 can anyone explain that to me pls?
@synergy4336
@synergy4336 4 месяца назад
why does it work like that? I can't seem to think of any proof for this and I don't want to just follow a trick blindly without understanding the fundamentals of it.
@kiranchithirala5774
@kiranchithirala5774 3 года назад
Super
@rvlfo
@rvlfo 2 месяца назад
goated
@Churro_1
@Churro_1 4 года назад
ok
@milogasset
@milogasset 2 года назад
7 days
@macrene3096
@macrene3096 3 года назад
Try the vid on 1.5x speed thank me later
@milogasset
@milogasset 2 года назад
your welcome!
@Son.1
@Son.1 Год назад
this is wack a doodle
@nicholaserk1748
@nicholaserk1748 7 лет назад
Nerds lol
@milogasset
@milogasset 2 года назад
Nicholas Erk
@PotatoBoiOfficial
@PotatoBoiOfficial Год назад
misleading thumbnail, unsolvable problem
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