Factoring the hard trinomial containing a negative

[oXPINKjellyBEANXo]

i really appreciate this video! thanks! :)

[CecyliaEJackson]

Can you please put a video on how to factor

15a^3 b^2-46a^2 b^3-60a^2b???

[dcn0007]

Thank you :) ,,, Helped me out big time

[minkusbc]

Break up 6 into 2 x 3 and divide left bracket by 2 and right bracket by three.

[kps1215]

i have a ? on my HW that I am totally stumped on: 6y`2 - 13y - 5. I did your triple play method and it came out to:

(6 y + 2) (6y - 15)

------------------------ 6

and neither side is divisible by 6!

Please help me! I'm desperate and this is literally the only ? i couldn't get using this method!!! am I doing something wrong, or do I have to do something differently to solve with - signs??

THANKS

[ReilaRyu9]

what happens if you get bigger numbers like 48x^2-200x+200?

[nastyNAS668]

can u please help me i have a test tmrw and i'm factoring..... 9xsquared-30xy+25ysquared

[MrArmm85]

i hate math!!

[valumni]

Sorry to bother you but do the terms in the parenthese have to be identical? I keep getting 3x-1 outside and (x+1) and (x+2) on the inside. The polynomial is 3x^2+5x-2. Can you help me, please?

[minkusbc]

@valumni : 3x^2 + 5x - 2 (Multiply the 3 times the 2 to make 6. What multiplies to make 6 and subtracts to make +5 is +6 - 1.) We therefore now have the middle term expanded to two terms and we get 3x^2 + 6x - 1x - 2. Drop down the middle sign ( - ) and fact or each half independently and we get 3x ( x + 2) - 1( x+ 2). NOTICE the sign change in the second bracket. We now have our answer of (3x - 1) (x + 2). Hope this helps.

[valumni]

@minkusbc OH! I kept using 3 and 2 as the numbers to multiply 6 and add up to 5. I see. Thanks so much!

[RiReeful]

OMW THANK you!

[billgrill5]

This is a very good channel. I'm in grade 10 right now but my teacher is a very fast paced person. She goes crazy and does not let us have a chance to write down the steps to doing this so I always go on this channel for the explanations.

Keep up the great work.

[TheCderosa]

I got the same answer without using the decomposition method. Is that bad? why use the decomposition method if it's so much longer?

[pedrofsantos]

this really simplyfies some cases...but how would you do in case of

6x^2+5x+1 ?

[pedrofsantos]

thank you...it really simplifies

[Falandorn]

I have real problems with factorising 12c^2d^3 + 18cd^2 - 30c^3d^4

I can get to 6cd^2 (2cd + 3 - 5c^2d^2) but cant understand how I then should get to: 6cd^2 (1 - cd) (3 + 5cd)

I try rearranging (2cd + 3 - 5c^2d^2) to look like a normal quadratic (-5c^2d^2 + 2cd + 3) and try to factorise this but Im struggling, is there a trick to factorising negative quadratics where the x^2 element is a negative?

I saw somewhere you put -1 outside and solve as normal -1(5c^2d^2 - 2cd -3) is it right?

[kldudmp]

How would you work out: 6x^2+13x-8?

I'm really stuck on how to do it. Please help.

Thanks.

[minkusbc]

@kldudmp Multiply the 6 times the 8 to get 48, THen asks yourself "self, what multiplies to make 48 and SUBTRACTS to make 13?" (since the last term's sign is a minus sign, we subtract). THe answer is 16 and 3. Break the middle term up to 16x -3x and you now have 4 terms: 6x^2 + 16x - 3x - 8. Drop middle sign down and factor each half separately gives you 2x(3x + 8) - 1(3x + 8) (Factoring out a negative 1 changes the sign. Now factor common bracket to get (2x - 1)(3x + 8).

[soccerjoker95]

thanx.. u helped me alot

[snowbear15]

thanks! (:

[ninjagoalie72]

what is 3x^2 - 14x - 5?

i tried using decomposition but i cant find a factor that mutiplies to 15 and subtracts to 14

[minkusbc]

@ninjagoalie72 : Hi Ninja: The answer is 1 and 15. They multiply to make 15 and subtract to make 1. Hence we write 3x^2 -1x +15x - 5. This equals x(3x - 1) + 5(3x - 1) or the answer of (x + 5)(3x - 1).

[gbatemper123]

MY TEACHER IS INSANE TEACHING THIS IN 7TH GRADE

[19anthony95]

@gbatemper123 holy crap lol im in 9nth and learned this just this year!!

[gbatemper123]

@19anthony95 well im in the advanced class that learns all 6th 7th and 8th grade by 7th grade, and learns 9th grade algebra in 8th, then takes the test before we get to high school.

[mca00176]

shit is hard

[minkusbc]

@mca00176 Yes, sneppah tish !!

[ahmad150cc]

thank you so much huge help I love you lol

[ava2542]

I love you for posting this! This was such a Godsend. Thank you!

[whodahailz1]

thank you so much!!

this helped ALOTT!!!!

[MrAkakGun]

are you a teacher? because you helped me understand trinomials for my 3rd year exam!

When my math teacher taught this to our class i could not understand it, he used the table method

[rodpowder]

this helped me sooo much, thanks!

[HowAboutSomeTruth1]

What if the brackets aren't identical and can't be factored?

Like 3x(x-1) + 2(x-3) which is the point I'm at

[ShadowMysticWarrior]

Wait for this question there can be more than one answer because

-6 -4 Adds up to give -10 Multiplies to give 24

My answer for that was ( p - 2 ) ( 4p - 4 )

[ShadowMysticWarrior]

( p - 2 ) ( 3p - 4 ) ** i mean

[avatarmaster101]

I'm in college intermediate algebra and since I'm taking online classes, it's self taught. I needed help and you have the coolest, best working tricks and tips I have seen on youtube. THanks for helping this seem easy!!! So appreciate it!

[Ziggyflavel1]

This is the way we're taught how to do it :D great video.

[sub7m19]

Sir. You are a gangster. Both decomposition and the triple play work fab. I personally love the triple play. I'm the type of person who is a self-taught learner. However, you explained this better than the book. Props!

[zomery11]

how would you do it if the exponents were more then 2

[KokoroUta]

Thanks so much, this helped a lot. One thing I don't understand though is that when you're trying to get a common factor for the first set of brackets, why can't it be 2p?

[Kow8675309]

2p does not divide evenly into 3p

[Airflow993]

Cheers mate video was a great help

[macdben]

may i suggest writing larger, other than that it was great help

[hanx10ng]

@macdben

if it was larger, it wouldn't fit into the screen. =P

[RuDofCAraVAn]

@macdben and use whiteboard too... you are just wasting paper for every tutorial....

[conquestvideos]

I tried using this method for the problem: 6x^3 - 2x^2 - 4x but I got the wrong answer, according to what the answer book I am using to check says. What happened?

[conquestvideos]

Never mind, I figured it out. Thanks!

[Vestha01]

@conquestvideos O.o teacher hates you?

[Kow8675309]

That equation isn't a hard trinomial you can factor out 2x I believe from that entire thing

[22prince22billups1]

@Kow8675309 no u cant dumbass

[Kow8675309]

are you stupid? It would be 2x(3x^2-x-2)

[22prince22billups1]

@Kow8675309 u cant faCTOR 2 from 3

[Sacredtrance]

Why CAN"T it not be -12+2 .... instead of -2+12 - -- that is the only part that doesn't make sense to me!~

[aztecmexican1]

It's pretty easy, its because you have to make sure that it equals to -10, if you take -12+2=-10 that answer is correct. If you take -2+12=10 that answer is wrong because we want a -10 not a 10. I hope that helps.

[Kow8675309]

Those two equations give you two different answers: -10 and 10

[HowAboutSomeTruth1]

@Kow8675309

That's the point.

[JJOSH5]

i love you.

[jandcpro1]

amen... i FINALLY get it!

triple play method is a whole lot easier.

THANK YOU SO MUCH!

YOU HAVE SAVED MY GRADE!

[Nightmares12xx]

you are absolutely amazing

make love to me

[laurasales86]

thank you very much ur post really helped- what a great teacher

[gettingpaid24]

amazing videos man you are a great teacher!

[JA2NJ]

why didn't u solve completely

[minkusbc]

It's not an equation, there is nothing to "solve". I have just simplified the expression by factoring.

[Pakawee]

Do you solve it the same way with only one negative?

[minkusbc]

Yes

[andrewwwandy]

after you have 4 terms you could put the three with the 12 and the -2 with the 8

it would give you 3p(p-4) 2(p-4)

[minkusbc]

Yes, I do that in the second half of the video.

[MegaAFG4LIFE]

Thank you

[l33tgamer92983]

thank you very much sir. Taken a collage math placement test tomorrow and good to refresh beginning collage level stuff so i dont have to waste time and moneyon refesh courses

[BanglishBoy]

duude, you saved me for ma precal test, u the shit!

[635059462]

omg im in summer school and the teacher doesn't really teach that well >.>" only notes x-x and now with this i actually get it T^T ITS HELPS ME SO MUCH!!!

[dram5]

thanks for breaking that down for me im in summerschool so i half to learn like 3 chapters in 1 night but that just made it so much easier

[mzgemini0006]

Oh sorry I watched it all the way through got it.....this is much needed for a test soon

[mzgemini0006]

Hi.... I have a question??? why didn't you put 12 first or does it matter??? Thanks in advance

[guitarlegionleader]

so to make sure I understand this, in a trinomial where there is an HCF I factor it out, for example in seansk8randrider's trinomial and continue to use the method in the video... right? =S you're a great help, love your videos, keep em coming :P

[superbadgirl08]

Please help me to factor: 3m^5-60m^3+192m

[seansk8erandrider]

how do you factorise 4x2+2x-12

[minkusbc]

Factor out the 2: --> 2(2x^2 + 1x - 6). Looking in the bracket, I take the 1st number times the last number to get 12. I notice the subtract sign in front of the 6 tells me to subtract factors of 12 to make the middle term of 1. Answer: 3 and 4 multiply to make 12 and subtract to make 1. Now my question looks like this: 2(2x^2 + 4x - 3x - 6). Again look in the brackets I factor each half separately to get 2(2x[x+2] - 3[x + 2]). Now done: 2 (2x - 3) [x + 2], o r 2 (2x - 3)(x + 2)

[xxFlghterXxx]

the way you explained things is good

[whabashaki]

thank you so much, i was trying to figure this our for forever, and just getting really frustrated, so thank you so much.

[d0thma]

yes. this was a huge help. Here I am trying to find the zero's of polynomials and after all the synthetic division I realized I completely forgot how to factor "hard" trinomials.

Very helpful, thank you.

[Dynamite544]

Thanks :D

[finalfantasyfreak86]

what if the 10 was a positive??

[flashydee123]

Thanks for the help the video was nicely explained

[CharlestonChew03]

Awesome job sir!

Thanks so much for uploading this vid! You and a few others on here really helped me out with these problems! I JUST by the absolute deadline passed a 7 1/2 hour test! And I had to log back on and just thank you guys! Thanks for the vid again! God Bless!

[sslas321]

THANK YOU SOOO MUCH! my math teacher gave me a paper to do while i was away for a week, and said, figure it all out on your own. and i got sooo pist cause no one could explain it! but you did! thanks a million!

[bulalohan23]

awesome i love this.

[DarkAgeSlight]

yay! thank you. Wonderful. Its a 1 million percent yes. Your goin to Hollywood.

[samafk]

Thank you so much

[asianwong]

YOU ARE BRILLIANT!! THANK YOU

[lazarga]

YEA Yea I got it

it was easy I got your problem and I practice you problem several times until i got bymyself!!!!!!!!!!!!!! I like this

[maddawg7799]

at the start could u do -6p-4p instead of 2p-12p?

[legify]

no, because they have to subtract by both to make 10. So when 2x12 = 24, 12-2=10. That follows the rule.

[whiskygone]

thank-you so much for doing this series i realy struggled with this :) helping me pass my math exam in 8 hours last min studyin lol been at it all night so far =/ oh well hopefully i do well

[LeilahGazer]

umm i just gotta a little confused in the begging, how come when u mulitplied -8 by 3 u didn't make it -24...if i do that from the begging is that okay? cuz i ended up with the same answer, but it may have just been co-insidence

[sullymolly77]

this helped me soooo much!!! thank you!!!

[h1dro]

THANK YOU VERY MUCH!!!

not to get into too much detail of my personal life, but I've enrolled in a summer session that moves very fast, and I suddenly became lost in the factoring of polynomials. Thank you very much you explained it very well; thanks again!

[playstation3wii]

i have exam in like 3 days for this so its a good revuew for me too

[advree]

This is great. Thank you!!!

[neutral4]

I actually find this more confusing because there's too many steps,and confusing positives and negatives is always a problem for many students. Why not just ask "what multiplies to get -24 and adds to get -10. That's 2 and -12. So you have 3p^2+2p-12p-8. factor out a p from 3p^2+2 and factor out a -4 from -12p-8. You'll then see your binomial twice (which is 3p+2), and you'll see a p and a -4 which go together to form your other binomial. Much less confusing and less steps, in my humble opinion.

[fungalphil]

Champion. you should get a nobel prize

keep em coming

[BloodxGusher]

Lol I love the Accent

[meanmickeymice]

thanks

[archange156]

i got it =D

[snowhitez]

omg thank you so much

it helps me a lot

[mymath6182006]

thanks your vid..it really help me a lot..

[yalg18]

thank you so much. your videos are a life saver.