You don't have to use "guess and check" to factor trinomials when there's a leading coefficient greater than 1. This is one way to factor it using a tried-and-true algorithm.
I was sick the day in 8th grade when my math class learned this, and for the next five years I never completely understood how to factor polynomials when "a" was not 1, and for the first time since 8th grade (I'm in college now, somehow) I finally understand. I can't thank you enough for this.
Ha, When my class learned this it was a vaccination day so I never learned it fully, 4 months later here I am losing marks for this topic, thank god for this video!
@@RebeccaSavell can you pls be more specific u didn’t explain what if there wasn’t any common number like a number like 5 and 2 and now I’m stuck cause I don’t know what to do if a nub,ef doesn’t go into both 5 and 2 pls be more specific
i have online school now from corona and honestly this old old vid is the only thing that helped me understand this out of hundreds of videos and hours of searching i cant thank u enough
you make everything so much more clear in just a 7 min video while my math teacher throws stuff at us and expects us to understand on our own and can’t even bother to make sure we understand thank you so much 😭 ❤
+Awais Naseem Quadratic Trinomial. Quadratic takes the form ax^2 + bx + c and a trinomial means it has 3 terms a,b,c. A Binomial Quad would be something like x^2 - 25.
I hope you're a highly paid teacher because you explain things well, and you're very understandable. You don't say a whole much of math-gibberish that most of us don't understand.
Thank you for taking the time to simply ask, "What common factor do we have in both the 10 and the 15?" Why doesn't my textbook tell me that's where factoring out starts for the second grouping? I really wish I had found you hours ago! I won't lose your channel now though! :) Thanks again!
Thank you, this was so helpful. For some reason we did not cover what to do when the leading coefficient was not 1 in lecture, and it did not "click" until I watched this.
Thank you. Thank you. Thank you. I have been trying to remember how to factor polynomials when _a is greater than 1_ to teach my homeschooled child. It finally clicked. I can't thank you enough.
I have seen a lot of videos on the factoring topic but most of them lack explanation, but your video is above all those other videos. Thank you for the clear explanation. A lot of people just race through problems on youtube without explaining much at all, and I had the same problem in HS. The math teacher we had was a arrogant asshole and I learned a lot about him, and how emotional he was and his ways, but not Algebra.
Not a single teacher I have been taught math to has ever explained trinomials in this way, and yet this method is the easiest I have ever understood. Excellent explanation!
You should upload more if you’re still into this! I love the way you taught this. I was very nervous about factoring trinomials, but you made it a lot easier for me.
Oh my gosh, I'm Korean. Actually my English listening is not good. Even though I don't understand what she is saying in English exactly, she has made me understand how to solve this problem by only watching this video! Thank you so much!
@@RebeccaSavell I have a question! Could you tell me how to solve "9s^2-16"? It looks different from this "6s^2-7s-3" I solved it like this way a=6, b=-7, c=-3, a*c=-18, b=(2-9) =6s^2+(2s-9s)-3 =(6s^2+2s)+(-9s-3) =2s(3s+1) -3(3s+1) =(2s-3)(3s+1)
@@MWWM-jw5mm That's correct. It's called "Factoring the difference of squares". The pattern is of you're given (a^2 - b^2), then it's factored to (a + b)(a - b).
I've gone through at least 7 videos about factoring trinomials with "A" being greater than 1, this is by far the best, easiest, most efficient one I've seen!
im in pre-calc and all of my teachers thus far have taught this kind of factoring differently. i have never seen this method but it is by far the most clear and concise version, thank you so much.
I like your teaching style of "less is more". You don't over explain or use lots of words, you just quickly and simply explain in a logical fashion. Keep it simple! Thank you
wow you were a light at the end of my dark algebra 2 homework tunnel!! thank you so much for your great explanation I wish you were my teacher!! lucky are your students..
YOU. REBECCA SAVELL. YOU ARE AMAZING. I was taught 6 different methods for this and still had no clue what I was doing but THIS, this is so simple! I can't thank you enough!
What a great way of explaining this factoring,,,,,, I have come up to your video over and over, well done.... not just for this problem but way more complicated one and all start from here,,,, since i got it then the rest was easy... :)
Sigh, you don't know how helpful this was. Out of all the ways I've tried to do factorization of trinomials, your method was the only one that stuck with me, thanks a lot ! I subscribed, would love if you keep making more How to tutorials
This has been said more than once already but I'll say it again. Thank you. Because of you I learned in 8 minutes what my teacher could never quite explain. Behind me are the days of guess and check.
One of the best videos I could find. Everything was fully explained. It is amazing to me how math teachers can skip entire steps because they assume every student in the class knows perfectly well how to do every step. As a teacher, the opposite should be true. You should assume they do not, and explain every step, at least when introducing new topics, especially complex ones like factoring trinomials with numbers greater than one out front.
After countless hours of searching for help on factoring, this one is one I understand. Thank you so very much for this. I wonder if you have one for if there is a minus sign. Wow, how this helps me so much.
For example, if there is a negative number as c and a positive as b, then when you factor the numbers, the numbers that would match would be like, -1 + 5, and that would be a positive number. (4).
Man, wish I found this sooner! This is pretty helpful and you explained everything perfectly in 8 mins while I couldn't understand my math teacher over several 45 minute periods. Totally using RU-vid for now on if I have a question with math. Anyways, thanks again!
Like literally u saved my life bc my teacher taught us and she was so confusing to everyone so ur video actually helped me understand it 100% easier than my teacher thanks
OMG thank you so much! I looked all over the web to understand this sequence & you demonstrated it the best! THANK YOU THANK YOU THANK YOU. Saved my life!
I have been having a very difficult time with this in my algebra class. This is my first semester in college and I've always been horrible at math and numbers...this video broke it down and made it easier to understand. Thank you SO much.
THIS IS A LIFE SAVER! Thank you so much! I had gone through at least an hour worth of different vids on this subject, and so far this is the only one that made it "click" with me! Thank you thank you
You’re the first person that made this make sense to me. Very broken down and easy to follow, thank you so much! Any more videos you recommend to gain better understanding with algebra fundamentals? Help with quadratic equations would help too. Thank you!
It's been 11 years since you uploaded this but thank you ma'am. Normally I grasp math pretty easily but this concept just evaded me until I found your video. Best wishes
Thank you so much for this!! Very helpful. I'm sorry to be the one to tell you that 11 years in the future you will be in a global pandemic that started with bats in China. Oh and One Direction will break up but Harry Styles has a very bright future.
Thank you so much for making this video! This made ALOT sense to me than my teacher's lectures. NOW EVERYTHING MAKES SENSE. I can't express in words how much I'm thankful for this video. Thank you, and have a nice day.