Best FACTORING Hack EVER!

[@winlin11]

Thank you very helpful İf you don't have time Skip to 7:22

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@CrimsonSweetTea14]

Thank u :>

[@thomasandhelenodonnel9890]

Use to be good in Algebra I loved multiplying,dividing and factoring polynomials. Now that I’ve been married 40 years plus, I’m trying to refresh ny menory about it all. Looked at the best factoring hack you put out and stopped the vidio to figure the three case 1 videos and felt excited I figured then all correctly when I reatarted the video watching your answers. Thanks so much for putting these videos out.

[@jonfreeman8102]

I’m in one of your classes and I found your videos to be very helpful. I was looking stuff up for extra information and came across this, had no idea it was you at first but recognized your method and then your profile picture. Appreciate you posting these.

[@Someone-q6f5x]

3:50 he gets to the point

[@abdikhaadirabdilaahi8004]

I have never seen this wonderful way before. It is really easy way to solve polynomial problems thanks teacher I don't have much to say because math is not my thing

[@kimberlyanderson8351]

John do you have any good resources for teaching computer science?

[@MsRenee70]

3/29 @ 5"49 pm Great advice on note taking. I've been there, like you!

[@fredancajas6323]

Hi John, can you show us how to derive the quadratic equation? Thank you!

[@tcgroennert1394]

ax^2 + bx + c = 0 ax^2 + bx. = - c x^2 + b/a(x) = - c/a Use (b/2a)^2 to complete the square (b/2a)^2 = b^2/4a^2 and add to both sides of equation. x^2 + b/2a + b^2/4a^2 = -c/a + b^2/4a^2 Factor left side (x + b/2a)^2 = -c/a + b^2/4a^2 (x + b/2a)^2 = (4a/4a)(-c/a) + b^2/4a^2 (x + b/2a)^2 = - 4ac/4a^2 + b^2/4a^2 Rearange right side (x + b/2a)^2 = (b^2 - 4ac)/4a^2 x +b/2a = +- sqrt(b^2 - 4ac)/2a x = - b/2a +- sqrt(b^2 - 4ac)/2a x = (-b/2a +- sqrt(b^2 - 4ac)/2a) x = (-b +- sqrt(b^2 - 4ac)/2a Complete

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@thomassicard3733]

I think you would just do the algebra to solve the equation ax2 + bx + c = 0. The formula should reveal itself.

[@justyntyme4122]

thanks a mil. I needed you when I was 14. and 15. and in college...ad infinitum. thanks a Mil.

[@yungjuda1077]

Ay bro you're the real MVP I been watching videos all morning but you definitely helped me understand it better

[@jidejonesentertainment6309]

nice concept. Please what app are you using to display in this class?

[@oldschoollew]

without remembering i see a 2 ans a 7 in the right side xexp2 is single so x and or another is 14 so we have sign diff between 7 and 2 that brings us to - 5x in this case 2 - 7 is -5 lets see (x+2)(x-7) i expand i get the problem that was a good tip previous.....

[@mendozajovy]

Factors of 14 = (2,7) (1,14) choose (2,7) -14 = (-2,7) (2,-7) choose (2,-7) since middle term is -5x (X-7)(x+2) Hence X=7 and -2 I can't remember how I learn this. Is it from my teachers or by observation or from earlier algebra topic? I think it is from from the earlier algebra topic: FACTORING. And Observation. Math is a ladder. If you cannot understand step of the ladder 2, you cannot understand step of the ladder 5. Math gets more difficult after Algebra and Trigo. But these two subjects are the foundation of higher math: analytic Geometry, Calculus, Advance Math and Differential Equations.

[@thomasharding1838]

BUT, what if the given expression does NOT equal ZERO? You have to state your assumptions!!! But, still a Thumbs UP!! (And I can't help the SA comments, all of me is smart, not just my ass.)

[@enriquelucero3607]

Thank you very much teacher. I ferl more ready now to take the exam.

[@johnlakin5895]

What a great video! Thanks you tube maths man.

[@andtrrrot]

X^2-5x-14=? Is this about factoring or solving a quadratic equation by factoring?

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@cbesthelper404]

It is about factoring a polynomial. There is no equation here to solve.

[@Newjedi-g5l]

Great Hack! and no need to solve the complicated quadratic solution.

[@blackmaleb]

What about 3x^2 + 6x + 10? AFAICT, it cannot be solved using part 2 method - no real roots?

[@akirakasinata-fk8qy]

Indeed 3X^2 +6X +10 is different, Were it only 3X^2 +6X +3 it would become (√3X +√3)^2 but that leaves the remainder 7. To include this remainder requires that it would become (√3X + √3 +√7i)(√3X + √3 -√7i) As the additional+/- √7i (the 7 being the remainder) is the only way to increase the final value 3 to 10 without affecting the 6X as it would make both + and - 3X(√7i) which cancel each other out, and similarly on the final number, a + & - (√3)(√7i) except it would also make a final term (√7i)(-√7i) which = - -7, the same as +7 thus raising the 3 to a 10

[@debbies6192]

Thank you.

[@rebeccadee4107]

3:52 he gets to the hacks.

[@TheDarkq14]

Thanks tor uploading this!

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@arvinbriones4032]

tnx very simple and easy tutorials

[@Tony29103]

This is a great video to help kids visualize it.

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@ChidiebereIgnatius]

Thanks

[@TheyFancyMsDancy]

Wow, thank u.

[@thomasharding1838]

A = -4 and -5 T = +5 and +9 R = +7 and -3

[@machoman7244]

its also called the box method

[@quabledistocficklepo3597]

I couldn't find your solution by scanning (too much talk for me), but I got the answer in my head: (X-7) (x+2). Right?

[@cbesthelper404]

The only thing is that it is not a solution; it is a simplification.

[@california8719]

Vid starts at 3:50

[@stephenfanning3100]

What would you use this to solve?

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@benjilake]

Aaasrrrrgghhh Over four minutes of intro and selling before you get to the content. I guess some people appreciate that, but I don’t. Good content when you can finally get to it

[@carolkarafa1956]

😇thank you thank you,very helpful

[@machoman7244]

its literally the box method

[@akirakasinata-fk8qy]

What about the 3X^2 +6X +10? You missed it out 😭 So i worked it out for you 😋 Were it only 3X^2 +6X +3 it would become (√3X +√3)^2 but that leaves the remainder 7. To include this remainder requires that it would become (√3X + √3 +√7i)(√3X + √3 -√7i) As the additional+/- √7i (the 7 being the remainder) is the only way to increase the final value 3 to 10 without affecting the 6X as it would make both + and - (√3X)(√7i) which cancel each other out, and similarly on the final number, a + & - (√3)(√7i) also cancelling out, but it would also make an additional term, a (√7i)(-√7i) which equals - -7, which is the same as +7 thus raising the 3 to a 10 Presuming you know that 'i' is √-1

[@alexmclife2261]

equate to zero, X = 7 ; X = -2 : ( X - 7)( X + 2 ) = 0

[@thomasharding1838]

Assuming it equals 0, then X = +7 and -2 (x+2)(x-7)=0

[@mingkee27]

I see the relationship 2 and 7 Then it's (x+2)*(x-7) 2x-7x=-5x 2*-7=-14

[@franciscommontielrodriguez707]

Thankyou

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@MichaelClark-uw7ex]

There is a shortcut for case 1 Find the factors of -14 that when added together equals -5 -7,+2 (x-7)(x+2)=X^2-5x-14

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@jamesm9534]

I did it in my head!

[@thomassicard3733]

Yep. That's what he is taking you through, although most of us can just quickly do it in our heads. However, when things get a bit more confusing, this "chart the factors" method might save you.

[@cbesthelper404]

I am sure that the instructor knows the shortcut. He also knows that when introducing a topic it is essential to demonstrate more conventional methods first.

[@juliafoster9433]

Exactly. Case 1 can be done in seconds. The problem is kids don’t know times table. They have been allowed to use calculators for basic arithmetic. I used to call this guess and check.

[@irwandasaputra9315]

(x-7)(x+5)

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@umamaheswari4625]

(x _ 7)(x + 2)

[@mendozajovy]

-7 and +2 are factors. X=7,-2

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@cbesthelper404]

No equation here.

[@mendozajovy]

@@cbesthelper404 this is not a math quiz that I have to show the complete solution. I can answer this by looking at the problem. This is just basic factoring of binomial. But if the first term is 3X^2+BX+C, I will need to use a pen and a paper.

[@cbesthelper404]

@@mendozajovy You missed my point. There IS no solution because there was no equation to solve in the video. After factoring, you are left with an expression, not numerical values. The final answer is (x - 7)(x + 2).

[@mendozajovy]

@@cbesthelper404 so what is the point of your video. Who are your target audience? Students? I thought the purpose of your video is to teach students about factoring and solving for x. (This is standard in math problems)

[@harrymatabal8448]

(x-7(x+2)=0, x=7or -2

[@highstrunglinemanlife1812]

Taking my hiset math and reading tomorrow hope that i pass

[@LM-asAboveSoBelow-...]

Me and my 6th grader are doing things like case 2 but with fractions squared and fractions not squared

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@helenmarler3448]

He is teaching the rules. Why and how to solve a math problem.

[@oldschoollew]

as a simple rebuttal this is the more practical aspect of math ppl in the highers love dancing simplicity so this must be taken as a starter guide to higher lvl learning.....

[@haroldwalker5579]

This is the reason why people hate math the teachers like hearing their own voice instead to go on directly to the explanations that they need

[@cbesthelper404]

Which is why the students who choose to humble are the ones who master Math and love it. The impatient ones who try to dictate how the teacher should be teaching, continue to struggle and hate Math. It is of their own making.

[@sodaomgi7233]

XY=-14 X+Y=-5

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@bushtherapy7655]

X plus 7 x minus 2

[@cbesthelper404]

Switch your signs.

[@umamaheswari4625]

(X _ 7)(X + 2)

[@chiranutkhangrang2879]

Love

[@DayanandPandey-ns5qc]

X=7

[@rajeshvyas934]

X=-2 or 7

[@cheapcharlieredhorse2286]

Reverse FOIL method

[@gjonkodyalivio5741]

I have different factors but the anwer is correct lol

[@BestEyeEvaHad]

This is not a hack. This is just the long way to do normal factoring

[@PreservationEnthusiast]

Easy: (x-7)(x+2) Just do it by inspection. You can write the answer straight down. You don't need any "hacks". And also it is "problem" not "prawm".

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@PreservationEnthusiast]

@@serdalhocailematematik1930 Answer is (a) 1. Surprising result. I did it in my head in 5 seconds. I dont understand your language though.

[@serdalhocailematematik1930]

@@PreservationEnthusiast 🙂that's great

[@robertakerman3570]

Everybody doesn't like "Prawm". I'd like a little Penmanship so I can read everything.

[@nancyangel800]

🙏🏼

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@KathyW5]

When you get to the actual business these are good helps. However, there is soooooooooo much just talking and repeating non important things and the backward, forward, backward, forward that it all gets muddled up and confusing. If it were just a step by step with needed explanations these lessons and hacks would be much easier.

[@margaretgathecha1143]

Don't foget he is a teacher and he has to make sure all his students understand even the slow learners.

[@cbesthelper404]

@@margaretgathecha1143 Exactly.

[@BartBuzz]

Maybe I missed it. But this hack only works for real factors.

[@rouzbehmoradhaseli9025]

👏👏👏

[@rebruc3806]

I’m lost😢

[@jtfike]

3 mins in and he is still talking about things unrelated to this problem.

[@glasssmirror2314]

At one time I waited for over 10 min for the start of explanation but that didn't happen.

[@BarryPiper]

This is not a factoring "hack". It's just another way to do factoring. Sheesh.

[@edwardromanek6398]

this b&%$7 took half a century intro

[@jamesd.8574]

A 4 minute commercial before getting to the subject. You talk too much. I'll never click on one of your videos again.

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@Yankalexia]

Lol

[@adeyemikehinde3294]

I thought I was the only one 😃

[@joeybautista5769]

🆒🆒🆒👍👍👍👋👋👋

[@MrWrite1]

very annoying. You neverget to your solution for 4 minutes. I'll find someone who doesn't advertize their site so long.

[@parwinabdullah7575]

😂

[@davidrobertson9271]

Get on with it. 8 minutes before you explain anything!

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@tomtke7351]

is your slider broken?

[@EynkiYoom]

Sorry to spoil this party, but... Hack?!?!?!?!? 20 minutes for a 20 seconds video about something u learn in 8-9th grade? And 20 minutes without touching trinomial cases in which "a" is not equal to 1??? What the hekk is going on here?

[@warblerab2955]

You know, I understand that note taking is very important and all, but do you have to repeat the same stuff about over and over again on every single youtube vid you do?!?!? seriously?!?

[@ghuydomingo7423]

To much talk ...

[@sillaroseedaw6226]

I appreciate your tutorials but too much unnecessary talking

[@elainemills2111]

Too much process, don't understand the second part

[@serdalhocailematematik1930]

My math question kzbin.info/www/bejne/Z6Waq2mmo8ibedk

[@keithmcfaul9310]

Your process needs to be simplified rather than going through so many steps and you need to concentrate on one problem and not confuse how to solve one problem with another problem.

[@Galina-ek8gj]

It works very good Thank you 😀

[@StephenRayWesley]

X^2-5x-14= 1527(x+1x-5) x+2x-7)

[@laurenleffler6711]

Legend

[@annettegollon239]

(x + 2)(x -7)