Factoring vs Completing the Square vs Quadratic Formula

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👉In this video we will discuss the differences between solving a quadratic equation using factoring, quadratic formula and completing the square. When is one method preferred over another and how to use them to solve a quadratic equation
Timestamps:
0:00 Intro
0:50 Example #1 Factoring
2:42 Example #2 Completing the Square
6:15 Example #3 Quadratic Formula
9:35 Recap
Corrections:
5:01 The answer for 100 minus 77 should be 23, not 33.
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Опубликовано:

14 июл 2024

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Комментарии : 191

@melissasellers6947 2 года назад

Thanks!

@brianmclogan 2 года назад

thank you so much Melissa!!

@mankpoe1703 Год назад

👍

@hellotheirgoodsir9291 3 года назад

i dont care if ive never met this guy in person before hes still the best teacher ive ever had

@alexvaldivia1855 3 года назад

Now you probably haven't met your real teachers in person either lol

@brenwilliams03 3 года назад

honestly tho, i love my math teacher but i learn better in 4 minutes here than within the whole week

@hellotheirgoodsir9291 3 года назад

@@brenwilliams03 fr

@rodrios2696 4 месяца назад

Absolutely best math guy I have ever seen in my life

@WhyPee24 3 года назад

WOAH NO WAY! I have a test on this tomorrow!!! You really posted on the right time. Godsend

@brianmclogan 3 года назад

Awesome! Best of luck

@dauntlesspk8807 3 года назад

No shit- me too.. crazy

@masternobody1896 3 года назад

@@brianmclogan why trig is hard I want to kill myself

@akepgizmo6610 3 года назад

@@masternobody1896 😂

@razorfresh3556 4 месяца назад

I have one in 10 minutes...

@ChangHPark 3 года назад

Awesome video again! Just a correction on the second question -- it is 23 not 33 :)

@ninjapanda0822 Год назад

I was just about to comment this cause it kept distracting me when he didn’t notice it

@opus_X 11 месяцев назад

@@ninjapanda0822 same

@ZainArtz 3 года назад

I just took my pre-calc final in my first semester, and thanks to your videos, I got 92% on the final exam. Your lessons are incredibly clear, engaging, and never fail to get the point across in the simplest yet most descriptive manner. I'll indefinitely be in your debt for helping me make it through this class and I hope that your lessons will come in help in calc next semester.

@brianmclogan 3 года назад

Yes!! Happy to help

@bintounabe873 3 года назад

@@brianmclogan init yeah

@potatotuna7988 3 года назад

i’ve never actually figured out how to do the completing the square method but this finally helped me learn how to do it now luckily. good video

@cesruhf2605 2 года назад

5:00 It becomes 23 but basically the same throughout this equation

@mathsandsciencechannel 3 года назад

Thank you from the bottom of my heart. You ave helped through the more than you will ever know! See you tomorrow. I love you.

@mimsy5016 3 года назад

thank you! my exams are next week and i badly needed this!

@brianmclogan 3 года назад

you got this, best of luck!

@jays7761 Год назад

Today I learned: 100 - 33 = 77 Best math teacher ever.

@starvin9117 3 года назад

Ayo, 100-77 isnt 33?

@dalhosani7993 4 месяца назад

No it will be 110 100-33= 23

@lucylunser2023 3 года назад

this is exactly what I've been struggling with. I failed my algebra test due to not comprehending which method to use at the right time. I feel pretty confident with it now. THANK YOU

@anushkavashisth4336 Год назад

GURL i have my algebra exit test tomorrow in 8th grade RN

@neonpenguin0948 3 года назад

So for the completing the square it is actually 23 not 33 because 100-77 is 23 but I totally understand how you could get that wrong. I actually saw a meme that was like: “Society is 77+33=100” and it was like a futuristic picture. Just for anyone confused about that. 👍😃

@liutprando7674 3 года назад

“Society if 77+33=100” “Futuristic city”

@neonpenguin0948 3 года назад

@@liutprando7674 NO WAY!!! you found the meme, thx dude

@kevincrawford6864 2 года назад

Every algebra/calc class should start out with this explanation, It would help students out immensely.

@Peacefullsound1 3 года назад

all of this learned in 10 mins.... which is absolutely awesome. I'm taking a pre calc course at a Junior college and it is so hard to understand there old ass MyMathLab videos that are older than my grandmother... Keep up the good work and I've definitely subscribed.

@jkflan1335 3 года назад

I just watched your video on slop intercepts, I have been learning it for two weeks and have 4 assignments due before my quiz tomorrow and I had no idea. Your vid helped me a lot thanks

@wagnerjones75 2 года назад

Love the explanation when it's too challenging for me to solve right off the top I would go with the quadratic formula. Thank you soooo much for making this video. AWESOME INSTRUCTOR!

@fixyourkdkid308 3 года назад

You dont know how much you have helped me and how much your going to help me the rest of they year, thank you so much hope you and your family stay safe happy holidays

@kittendruid2706 Год назад

my professor in college doesn't do lectures so I'm generally left to my own ability to try and figure things out, i have been trying to understand quadratics for 2 weeks for my test tomorrow and this has helped me so much. thank you, this is the first time i have ever had and felt any form of clarity for quadratics! thank you so much!

@elixirpolish5519 3 года назад

You really are one of the best math teachers ive ever had ! ive forgotten math from 10 yrs ago and re-jogging my memory to tutor someone. You make it so easy to understand and remember all the rules/techniques. All your videos are online and recorded which makes me really question why it is so hard for HS teachers to do remote learning during covid. If you can do it on youtube why cant they do it on zoom? Now the kids refusing to pay attention...that happens in an in-person class too and theres nothing you can do.

@yumitama3092 3 года назад

Stuggled which methods to use. Your explanations are clear and understanding. Thank you!!!

@jayleennuokus2373 2 года назад

Thank you so much for this video I have a test soon and I just needed the concepts to push in my head !

@gavincraig4833 3 года назад

Thanks! My midterm has this next week!

@brianmclogan 3 года назад

Good luck!!

@najeewashington6234 2 года назад

I'm a freshman taking Algebra 1 right now, and I have a 8 question quiz today, and I watched your video, and I love it! It is so simple to understand and straight to the point, and I would rather do factoring first, just because it is way more simple to understand 😅. However, I love your videos and they really help, so thank you for the help!! You're a really big inspiration for my math career in the future 😁.

@Theeverydayguy_2005 2 года назад

From india 🇮🇳, loved your explanation.

@garetholesco 3 года назад

I really admire this man as a teacher he’s so great! My personal fav is completing the square..just wanna share that

@ericalissette2078 Год назад

I wish i found your videos years ago. I am retaking college Algebra and i have my unit one exam tomorrow. My professor os great, but your video's are an added bounus to help me. I am also going back to the basics to fine tune my factoring because i struggle with the basics at times.

@davidhuynh3393 2 года назад

Damn, need that good refresher! Thank you!

@IsHemu 3 года назад

damn this really helped you posted this on time for my test tomorrow you came in clutch THANK YOU!!!

@mrswaxler 10 месяцев назад

Thank you so much Mr. Brogan! We are homeschooling and sometimes Saxon math doesn’t explain WHY you need to do something! But you did and I appreciate it!!

@BearcatJV Год назад

this is great. I've been trying to figure the reason for these out all semester.

@aaatheslimking7576 Год назад

Great video thanks!

@mrammosrich3789 2 года назад

Was looking for this. Thanks!

@brianmclogan 2 года назад

Yes!

@sarah-gn7lq 3 года назад

Thank you, I was in tears

@fritzgunthertuliao3203 2 года назад

Very well explained

@mishalnooruddin2763 2 года назад

Brian u are a life saver

@Abbassis15 2 года назад

beautiful , well explained

@aleshakelly3913 3 года назад

This really helped! Thx!

@coldsjab7185 3 года назад

Is my calculation wrong or 100-77 is 33 cause for me its 23

@matawie 3 года назад

Thinking the same, maby im missing something

@EyeIn_The_Sky 3 года назад

it is just a mistake, you are correct 100 - 77 = 23

@EyeIn_The_Sky 3 года назад

@@matawie you are not missing anything, it was a mistake

@vedants.vispute77 3 года назад

Very helpful 👍 So now I can say that I became good to complete the square 🙏 Love from India. Thank you sir!

@brianmclogan 3 года назад

Yes!!

@sambok3497 2 года назад

THANK YOU MAN! 😭😭😭

@Mk_xX Год назад

This guy is the goat foreal He simplified everything in

@leggyladdie 3 года назад

You are the only thing keeping me from failing my algebra class right now... why couldn't I just get geometry again ;-;

@missoss 2 года назад

This video saving lives...

@amorcheskanavalta8899 3 года назад

sir Brian I wish ur my teacher I always learn fast on you 😌😌

@user-zq3bq7jk3r 5 месяцев назад

You save me always thank you

@Possibly_Hawkins Год назад

Thank you mathematical Mr. Clean

@Zain.A. 3 года назад

This is so good for kindergarteners! liked and subbed, mister!!!

@emiliovillarreal9068 3 года назад

Nice!

@cpsk-bz7jz 3 года назад

please do one with simultaneous equations. whether its substitution, multiplication etc

@ChavoMysterio 3 года назад

Also, from my experience in high school, I first learned about the quadratic formula in Geometry.

@lexigrubb2554 7 месяцев назад

Bro taught this better in 10 mins than my teacher did in a whole week

@whoff59 4 месяца назад

Okay, there is this tiny error with 100 minus 33 ... But it is still a very good overview of how to use the different methods of how to solve quadratic equatons !!!

@dksports469 3 года назад

U R my legend thank you so much

@tommii3188 2 года назад

awesome video 5:00 its 23

@NexushasTaken Год назад

Solving quadratic formulas is the hardest topic for me.

@mollyyeahyeah 2 года назад

I love the factoring method.

@shannon8254 3 года назад

Brian, if you are unable to FOIL the quadratic equations (numbers are too high), would it be best to use the Quadratic Formula?

@smokeybear4266 3 года назад

Thank you for the math information Mr. McLogan, but I have a question, do you have a proper sprinkler system installed in your school? If not, follow up question, are you near a forest? If not, it's ok if you don't. Just remember. Only you can prevent forest fires.

@swimminginthecesspoolofstu2070 2 года назад

PLZ do the Completing the Square for the last example of Quadratic Formula

@EveryonesYouniversE 25 дней назад

Not for nothin 100-77=23 so that final answer is x+-10 square root 23 (second equation) still I’m grateful for the way you break things down. Can’t be perfect all the time. From content creator to content creator I recommend re-watching your videos before posting

@Wolf-zh3nt 3 года назад

I just took a test and u gave me an answer lol thx (I won't tell the teacher)

@brianmclogan 3 года назад

that is awesome

@alihasani648 Год назад

I'll like to use completing the squares normally as I'm doing it for a long time but factoring is also a good option

@dinovassiliades9597 2 года назад

cheers

@ArcadeMaster 3 года назад

If it can be factored always do that as your first step, if there is no coefficient on the squared term and the middle term is even completing square, the rest would use quadratic formula for me but others may like different things

@michaelmarshall8425 Год назад

5:00 23, not 33

@nucavani 3 года назад

TYYYYYU

@georgeweng8972 3 года назад

Square root is the basic one. formula comes from it and make it easy for people to use ( no need to step by step ). factoring comes from square root, too. we can say we make square root first and move the roots to the other side to make factors(=0)

@beanito5438 3 года назад

hey shawty

@anushkavashisth4336 Год назад

Algebra test tomorrow revising at the last moment GOD I BADLY NEED TO PASS

@ibrahimshukri9842 3 года назад

My favorite technique is Factoring.

@Grid_01 2 года назад

Is it ok to use the quadratic formula instead of factoring and completing the square even if its easier?cuz the only 1 i know is the quadratic formula...

@ananyavishwas7455 3 года назад

cts method was tough until now

@supercell1228 2 года назад

nice

@r.uthere.6201 Год назад

I think using the quadratic formula is much easier and safer too use then just trying to factor out in your head.

@theophonchana5025 2 года назад

b^(2) - 4ac = -31

@iamadamselindistress4969 2 года назад

I LOVE U JFJDJ$JFDJFKEFKEFJ U HAVE BEEN HELPING ME SINCE ALGEBRA 1 AND NOW IM IN ALGEBRA 2

@janetho6145 3 года назад

i need help with 2(a - 8) _> -2a (pretend the _> are on top of eachother).

@palakofficial3457 2 года назад

77+33=100 ahahaha no way he got caught in it XD, good video tho, helpful

@ChavoMysterio 3 года назад

If the quadratic equation is not factorable, the leading coefficient is one and the second coefficient is even, then I complete the square. If it's not factorable, the leading coefficient is one and the second coefficient is odd, then I use the quadratic formula. x=[-b±√(b^2-4ac)]/2a

@brianmclogan 3 года назад

I am with you, I decided to not got that detailed into it but with you

@pyrodex1123 3 года назад

Really posted this the day after my exam on this :(

@brianmclogan 3 года назад

ohhh no, sorry

@pyrodex1123 3 года назад

@@brianmclogan that;'s all right though your older videos have helped me loads :D

@akhilakella8325 2 года назад

BTW, (100 - 77) is 23, not 33

@ryanfelix8676 3 года назад

can somebody help me with that: A farmer sold 500 oranges, the big at 40 cents and the small at 25 cents each. The money he received from the sale of the big ones was $70 more than what he made from the small ones. Calculate how many big oranges the farmer sold. i know how to solve them but writing it in word can sometimes be difficult for me

@brianmclogan 3 года назад

Post in my discord

@melissasellers6947 2 года назад

I wish you worked at my daughter's school!

@dragonprincess1123 3 года назад

Why don't all of the techniques give the same answer? As in, if I factor a trinomial, but want to check and see if I did it correctly by using the Quadratic Equation, why do I get different root values? For some reason, the signs reverse and I don't understand it.

@datweetee1 2 года назад

Supposed to get same answer no matter which way you solve it.. for his 3rd example, I had the same issue.. I actually did completing the square and used the vertex form to solve for x.. what I got was x= 5/2 +- sqrt(11/4).. don't know where I went wrong

@renz_animetion7714 3 года назад

Ammm hiii have a question how do you solve this one (x²-8x+k) sqm

@dudeguy_3336 Год назад

9x^2+9x−10=0? this equation had me scratchin my head.

@davidvaquerano7968 3 года назад

It's so much easier to not factor out the negative - (For the first problem) Just Factor

@oogmoney 8 месяцев назад

thank you big math daddy

@fatemehsadatjohari9953 3 года назад

Which grade does the students start learning this?

@moeezurrahman1824 3 года назад

YOUR INVITED TO MY GRADUATION

@theophonchana5025 2 года назад

#QuadraticEquation #factoring #factor

@theophonchana5025 2 года назад

#trinomial #polynomial

@joshhfrmx 3 года назад

100 minus 77 is NOT 33, its 23

@theophonchana5025 2 года назад

2x^(2) - 5x - 7 = 0 x = (5 + sqrt (-31)) ÷ 4 x = error

@jullianevacunador7905 3 года назад

Am i the only one who notice that 100 - 77 is supposed to be 23 and not 33?

@borowczyk76 3 года назад

Yes! It’s driving me crazy!!! I can’t believe it’s not half of the comments.

@theophonchana5025 2 года назад

sqrt (-31) = error

@Megandalil 3 года назад

This is my math exam tomorrow

@ellestagnitta6844 3 года назад

i have a test tomorrow and i’m gonna fail i physically can’t do it and my teacher doesn’t help lol

@aurum_7201 3 года назад

Im a senior in high school and I still have no idea what this means. quadatic formula is the most confusing things in math and it makes everything else harder. im doing logarthmic now and I still have to use this to get the answer with this and i dont know how to even do it. i looked this up now and im taking the test now because i dont know what its saying

@brianmclogan 3 года назад

Just know the QF gives you the roots of a quadratic equation. Unless you need to I would not worry to much about what it means or how it is derived