factoring trinomials with "a" greater than 1

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.

[@brasil10pedro10]

Learned more in 8 minutes than in 53 minutes of class. Thank you so much Not all hero"s wear capes.

[@lunakai_360]

Ya same

[@mariomoya3565]

Yup same here

[@NiamhRivers]

SAMMMMMMEEEE

[@rjbeats4842]

Moi aussi mon prof est très stupide 😐😂😂

[@Zoey-si5ct]

Fr

[@lanachesley6965]

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.

[@zachlemay88]

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!

[@ComputerTechnic217]

why did you class come to school during vacation day little boy

[@rakeman1396]

Rifath vaccination day m8

[@sofiawei352]

that's exactly what happened to me in fourth grade, so now idk how to do long division.

[@jinseulpark5618]

Lana Chesley wew haha

[@kennab6169]

Ma'am you are an absolute life saver. I understood this better here than I did in class. I appreciate you taking the time to do this.

[@misskayleebugs]

Did anyone else bust out laughing when she popped up from the corner and said "hello!"

[@alessandratardibuono5129]

I died XD

[@kaylab6335]

misskaylee bugs ikr haha

[@devprakashsharma6053]

What

[@meshachjones6909]

I damn near restarted the video to see wywtb 😂

[@jinseulpark5618]

misskaylee bugs LOL AHAHAHA

[@Angela-pq2iw]

I have math test tomorrow. Ur a life saver thanks!!

[@NiamhRivers]

ME RN. im trying to cram information right now and this video helped soooooooooo much

[@jzen8350]

same

[@muhammadgoondall4542]

Same

[@sucharithakatta3079]

@@NiamhRivers I have one today!

[@jackshotthat]

After 10 years, this video still helping people!

[@saatvikjha4035]

Yeah dude

[@RebeccaSavell]

Yay!

[@t.n.h.ptheneohumanpatterna8334]

@@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

[@mustafamustafae5715]

Yeh lels

[@harrypatel7805]

Why is she not a meme

[@morthslogisticsllc3473]

What is a meme

[@adilkapskapadia2662]

@@morthslogisticsllc3473 it's a mathematical expression only geniuses can understand.

[@richan288]

@@adilkapskapadia2662 wow ur a genius

[@harutokato3922]

@@richan288 yeh because we understand that mathematically XD

[@alexanderkyprianou3886]

she looks like shes about to ask for the manager lmao

[@mjlucanas]

Woman: pops out from the bottom "hello!" Me: "hello"

[@Harukaze-ruu]

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 😭 ❤

[@RebeccaSavell]

I'm glad it helped!

[@csqiggl2311]

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

[@theistnate]

13 years later and she's still saving all our grades

[@RebeccaSavell]

Hahaha! My pleasure...!

[@RebeccaSavell]

I'm so glad!!!

[@kaistahly3260]

stop reading the comments you have a test tomorrow!

[@alyhandrah]

No, I have an online test right now.

[@Emily8scool0101]

no u do! lol

[@numankhan4631]

@@alyhandrah o

[@ifire28]

Today

[@gicarranza7726]

Bitch I have the ACT tomorrow 😭😭😭😭

[@lorilyntenney7691]

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!

[@RebeccaSavell]

You are quite welcome. I'm glad it helped.

[@drabberfrog]

@@RebeccaSavell thanks for the help with math homework

[@MsChinchy101]

Exactly! I wish I could get her as a tutor

[@avery9239]

14 years later and she’s helping me out with alg.2

[@RebeccaSavell]

I'm glad to be a help for you!

[@keilyraggio9325]

Her: “You only need math skills” Me: “welp time to wrap it up here, gotta go”

[@stardude54321]

please replace my current math teacher lol

[@frederataylor5477]

Jessy Singh moooodd

[@mohamadkhouli9607]

shes trying you're not funny

[@kaitlyny6053]

same

[@cancerouscake9105]

Well it's been 3 years. Did you pass math?

[@stardude54321]

King Xerxes yeah lol fuck that class

[@zxhrx.n]

WHEN SHE ADDS 'ISNT THAT EASY' AT THE END

[@mohamadkhouli9607]

so funny right, go learn '

[@ajpoloney]

Is this anybody else’s comfort video anytime they come across factoring? I can’t even tell you how many times I’ve watched it and it helps every time

[@RebeccaSavell]

Oh! Thanks! I'm a comfort channel! ;)

[@fishguru-]

this vid helped more than any other vid i saw about quad trinomials

[@esszee455]

+Devin Reed what is "quad trinominal"?

[@MafiaXenaFedora]

+Awais Naseem I think he might mean the group factors?

[@ryangoods7949]

+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.

[@kurtvelasco7369]

Devin Mim

[@kaidenhills1820]

"This should look suspiciously familiar" when she said this I broke out laughing

[@user-lg1ik9gw5x]

Out if all the people on KZbin that tried to show me how to do this equation you explained it the best and most thoroughly, thank you so much!

[@senosuccess6412]

I've never had a simple method to factoring a trinomial like this. Thank you! you're a great teacher.

[@RebeccaSavell]

Thank you!

[@andrearoyal2399]

Was really struggling until I watched this I can now complete my assignment. Your explanation is very good 👍. Thank you

[@RebeccaSavell]

I'm so glad it helped!

[@LeviAckerman-mi6wl]

@@RebeccaSavell 12 years later

[@FrankCordovaMileHighBorn]

Whoa, I learned a lot more of factoring from you than when I was in grade school. Guys, factoring is a math skill, and a great one to have.

[@RebeccaSavell]

I'm glad to help!

[@tashiki8641]

I'm amazed that a 13year old video is helping me understand this lesson more than those recently uploaded videos.

[@RebeccaSavell]

I'm SO glad it helped you! Thanks for watching!

[@ryleegaly8679]

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.

[@RebeccaSavell]

Glad it was helpful!

[@JannyMaha]

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.

[@RebeccaSavell]

You're very welcome!

[@deathsheadmothranch7188]

This video has saved my educational life many many times. It’s my go to video when I need help for factoring, because I tend to forget the steps a lot

[@RebeccaSavell]

Thanks for watching!!!!!!!!!! :)

[@legitgamingcorps494]

Thank you for your excellent explanation. Really helped my child. Appreciate the time you took to explain it.

[@cutzieklutzie]

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.

[@gabehunt1125]

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.

[@RebeccaSavell]

Thanks, Gabe. I actually have some time this summer. I plan to ask subscribers about their math needs. What do you need in terms of math concept help?

[@8LilliFlower8]

Finally no shortcuts. Love it when each step is explained and shown. Just went through a trillion videos and this was the ONE I could understand.

[@kaylagamez5539]

BLESS THIS VIDEO AND YOU

[@_A_343]

Bless you too beautiful.

[@ctb1977]

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

[@MWWM-jw5mm]

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'm so glad you've been helped!!!!!!!!! Thanks for leaving a comment!

[@MWWM-jw5mm]

@@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]

Oops, I think I can solve it by myself! I think the answer ,"9s^2-16", is (3s+4)(3s-4)!

[@RebeccaSavell]

@@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).

[@emmanuel489]

Almost 10 years later and ur still better than all my math teachers that I have ever had

[@GWiz415]

You have the best example. Iv'e done a lot of research on finding ways to complete this and this is perfect, thank you.

[@keithdawes2685]

Excellent. You factored out all unnecessary and confusing words resulting in a clear and concise explanation. Thank you

[@winstoniskandar4554]

"It only took math skills" Me: yeaa..............

[@hammertime644]

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.

[@bullterry14]

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..

[@mohamadkhouli9607]

you can't fucking spell

[@okkind408]

I learned more in less than 8 minutes comparing to a hour of teaching in class. Thank you so much you are a life saver.

[@godsgirlmeri8573]

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.

[@ravina7716]

Do you know what to do if theres a minus

[@kod3619]

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).

[@mohamadkhouli9607]

those hours were wasted

[@TophBlue]

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!

[@MrJulsgard]

It is evident that Jesus has sent you. Thank you

[@deanmachine9486]

I’ve was sick at home for two days of this lesson and now I know it better than most of the class. Thank you very much!

[@juliusblom3750]

"I double check visually" Fascinating

[@mohamadkhouli9607]

that's what i did to your.........

[@nutkin6145]

You are the first source I found who taught this method using an equation that WASN'T super easy to solve. Thanks!

[@Jack-xt9pi]

Thanks for the video! It's a day before my AP calc AB exam and im unironically looking this up 😂

[@RebeccaSavell]

Happy to help!

[@deelighted]

This is such a beautifully explained video. Why aren't more math teachers this thorough? Thank you!

[@navysailor1980]

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.

[@RebeccaSavell]

Thank you. I'm glad it helped!

[@76disproportionatelemurs]

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.

[@RebeccaSavell]

Thank you. I'm glad to help!

[@jinniejinjin5290]

You are my savior, I was so mad at myself that I couldn’t remember this and you helped me remember how to do it

[@bribarlim]

I'm graduating college in a week and I've always had trouble with factoring trinomials until I saw your video. You're a saint.

[@lowkeysavage8362]

Wow thank you for actually being educated

[@stevematson4808]

Extremely good explanation 👍😎 I have watched many many videos on the subject of factoring and this is the BEST !

[@RebeccaSavell]

Thank you so much!

[@husbbi7153]

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... :)

[@taylormayzes6317]

you saved me for my GCSEs!! my teacher never taught me this, so it was amazing to see it laid out simply and easily :)

[@bernardbrachet5375]

c'est la meilleure démonstration que j'ai pu voir à ce jour !bravo

[@lynnnguyen7290]

Bless your soul for actually showing me the easier version than what my teacher/friends taught me.

[@gilmiller-muro7356]

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.

[@sfyvyrrywyhtderttteyeet4227]

She doesn't know......she died 2 years ago.....

[@LeeTwentyThree]

@@sfyvyrrywyhtderttteyeet4227 Not true. She commented on her latest video 7 months ago.

[@RebeccaSavell]

I'm still kickin'. Thanks for watchin'!!!!

[@CRYhavoc_INK]

HUGE thanks! I was going to drop my class because I didn't know this method, which is a very important one, and I may have had to go down a grade level in my maths to learn all of this again (which was making me not understand some material of other chapters) Crazy right? Not even kidding you saved me. Thank you sooooo much! I cannot stress it enough!

[@stiggerloid4380]

THANK YOU SOOOOO MUCH. THIS QUARANTINE IS RUINING MY LIFE!! FACTORING MAKES ME HAVE SUCH ANXIETY.

[@lotuspocus1113]

Same

[@prophetofgarfield]

i have been looking for a video about factoring trinomials for the last three days and finally i understand this. thank you

[@rosie-hl6qp]

Thanks for making this...saved me on a big homework assignment

[@alkayfost3755]

I wish their where more math teachers like you. My math teacher explains things like I already know how to do it when I don’t.

[@RebeccaSavell]

Thank you for the kind words.

[@ThinkEthan]

Anyone 2019? Holy moly: Anyone 2020?! 🤣

[@Erica_Love_Love]

Yep. Brushing up on my math. I forgot how to do this stuff.

[@lilolmecj]

SoFreshGirl 510 every time I think I have it I am wrong! Dang it!

[@youssefshidid2229]

2020 now!

[@carlaavila303]

Here xd

[@Falyte]

2020

[@drhabab]

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!

[@jaemuniy]

Thank you so much I have a test about factoring in a couple of hours and didn't know how to factor.

[@RebeccaSavell]

I'm glad it helped!

[@lily70rivera]

this tutorial was so helpful and so easy to follow thank you so much. I am taking math after 20+years and you are a blessing.

[@Mg2SiO4]

Wonderful explanation. Very well done. Thanks.

[@RebeccaSavell]

Thanks!

[@Nastyc57]

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.

[@jessicacastrejon2631]

Thank you so much our teacher taught this today and i was confused thanks for your time :)

[@philraymond3297]

Outstanding. I'm a practising maths teacher and will use this method with my pupils. Thank you!

[@RebeccaSavell]

Great!

[@samyu986]

Still responding to comments after 13 years, u have my respect!

[@RebeccaSavell]

I'm still teaching as well!

[@samyu986]

nice@@RebeccaSavell

[@nahidkhaled7375]

Thank you you taught me better than my dad, teachers, and math textbooks tried to.

[@thatisme5592]

This has been so incredibly helpful! Thank you so much!

[@RebeccaSavell]

You're so welcome. I'm so glad it was!

[@notsoancientpelican]

This points out the difference between mathematicians and engineers. Engineers would waste little if any time on factoring, since the desired information is just the roots of the equation. Take the original expression, plug the a, b, and c values into the quadratic formula, determine the roots…done.

[@RebeccaSavell]

The quadratic formula is definitely a viable option...if the students have learned the formula. We mathematicians build knowledge step by step so the students see all the connections. You're right. After all methods are taught, they have the choice as to which would be the fastest way to solve the related equation.

[@jonsomss]

I dont want u to worry about that this minute because i will give u the rules... HERE ARE THE RULES

[@kaylab6335]

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

[@sparkleyes1019]

2:57 - that rule helped a lot, thanks! :)))

[@RebeccaSavell]

You're welcome!

[@helllo2469]

I tried this with a negative number at the end and subtracted it and it worked too. thankkkkk youuuu soooo mucchhhhh. I never understood it in high school and now in Univerisity I still don't understand it ( lol I don't know how I made it). But thank you , I finally found a way because of you. I've learned more in 7.38mins than the last 7 years. Thanks from New Zealand

[@ofethecat259]

i missed a few days of school and this helped so much!! thank you!! hopefully i will ace this test coming up

[@tsurface143]

Same

[@joansteinly-marks7102]

Very helpful, good job! Had explained in ten minutes what i spent 10 50 min class periods struggling with

[@takistanirefugee3079]

The magic of KZbin...

[@leticiamal91]

Thank you! The one video that makes it all make sense.

[@RebeccaSavell]

You're welcome!

[@koldblaze6610]

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!

[@lyricaledits556]

Thank you so much mam for your clear explanation 🤗❤

[@RebeccaSavell]

Most welcome 😊

[@fearofthedark88]

this was the most straightforward way of explaining this factoring method that i've come across. thanks!

[@proceedxwithxcaution]

I'm gonna be honest, I'm an A student taking precalc and trigonometry and I forgot how to do this like thank you so much--

[@Hasan...]

She only talked about the negative last term that we'd need to choose 15 minus 2, but rather it could be even a negative"a" term (e.g. -2x^2 in the beginning) that we'd have had to choose 15 and -2

[@laurathebookworm7615]

you, good ma'am. are an absolute life saver and im so grateful for this video. thank you so much!

[@RebeccaSavell]

Glad it was helpful! :)

[@Ash-ot2bc]

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

[@RebeccaSavell]

Glad to help!

[@LexiUltr4]

This changed my life my brain is completely fixed

[@RebeccaSavell]

Wow! I'm so glad! :)

[@beatriceokoro8440]

God bless you Mrs Rebecca, thank you for uploading this video.

[@arungandhi5743]

thank you so much. I have a quiz tomorrow and forgot how to factor trinomials. I cannot thank you enough

[@RebeccaSavell]

I'm glad it helped!

[@arungandhi5743]

@@RebeccaSavell thanks to you I got a 100

[@Khushi-km5fi]

I know this video was posted 9 years ago, but you seriously helped me a lot! I have a test tomorrow and now I understand. Thank you!!

[@MasterNochi]

*My math teacher* : I'm only going to explain this one because I don't have enough time, so you better write this down. She never has time to teach? gtfo

[@roastbeef9202]

Teacher: what did you all take away from the video? Me: 0:07

[@je39981]

The steps were waaaaay too longgg , but you did a terrific explanation .

[@antoniosilva8331]

I loved the clarity of your explanations. Thank you very much for your commitment with teaching mathematics. I'm glad that you exist :)

[@RebeccaSavell]

Thanks, Antonio!