Given complex zeros find the polynomial - Online Tutor

[@brianmclogan]

thank you I hate math videos on the paper, or even a computer, is it just me or does that make watching even more boring, I know I am not the most humorous person or most exiting but c'mon. Thanks for the love

[@TruthY0u]

So if I have let’s say 2 and just i as my zeros does that mean we also have -i ? I am a little lost

[@ContortyEva]

@@TruthY0u yes, you also have -i

[@camhdz2605]

God, these videos have literally been my salvation.

[@camhdz2605]

yeah like same

[@brianmclogan]

happy to help

[@conradivaneza9967]

Ikr he is literally a saint since my math teacher doesn’t teach us this stuff except it’s on the quiz. I basically teach myself lol

[@baileybrooks7978]

Facts

[@t.brookehaskett59]

I'm a single mom of 4, back in school full-time and having to start over with my math classes. I literally have no idea how I would have survived the last two semesters without these videos. You rock the kasbah.

[@tylerjohnson704]

I don’t usually comment on videos (and I know that nobody will see this), but Mr. McLogan has become my primary teacher throughout Pre-Calc and Algebra 2. You have an incredible talent that so many of us rely on - and I know I can turn to you for any questions that I have! Thank you!

[@Brokentool_]

You're a hero. The college online math class I take provides "how to" without showing work or giving the steps it just gives you the question and the answer, it's an absolutely mockery of the education system.

[@caroliner9478]

sal khan is NOTHING compared to this guy. you are the only reason why i’m passing math rn. you are amazing!

[@bhavikupadhyaya972]

This man single caused me passing my exam today

[@TheAmandaAponte2]

I have been working on the same problem for the past 4 hours. Nothing in my notes and no examples in the book for this type of problem! THANK YOU!!

[@brianmclogan]

you are very welcome Amanda!!

[@katherine5184]

I WAS LOOKING EVERYWHERE FOR A VIDEO LIKE THIS! THANK YOU SO MUCH!

[@faisalalmuhawes6701]

Nowadays, during COVD19. We are taking are our exams at home. I have faced this trick in the middle of a problem, then I quickly searched about it here, and the problem is solved. If the exam is taken at college, I think I will lose about two grades. Thanks, Mr. Brian.

[@mousaalkiswani6252]

You made math so much easier with your videos!! Thank you so much !

[@brianmclogan]

haha thanks, I am hoping the views will continue to increase as I work on organizing and tagging all of my videos I post.

[@Celldweller42]

what a king. I wouldn't be doing my homework without this man

[@Maya-ub4cb]

Thank you! We had a substitute teachee today, so we just watched a video on building polynomials. The video didn’t talk about imaginary numbers, so this is helping me so much with my homework. I have a quiz tomorrow which won’t impact my grade, but I was still super stressed because I didn’t understand.

[@Zandrake]

Thank you so much! This helped me out with my homework. I am unable to learn a whole lot in class from my teacher so I have to teach myself with the textbook and, of course, online resources. I'm glad you had exactly what I needed.

[@brianmclogan]

+Zandrake happy to help, I am teaching pre-calc this year so will keep uploading new videos every day

[@joshnolan722]

Just for the record, (I know this was posted in 2011, but my OCD won't let it go) in line 3, you should have written it as (x-2)((x-4)^2 -i^2). That extra parenthesis ensures that you distribute property. You somehow still managed to get the answer right. If you had missed the error and continued to do it without the parenthesis, your answer would incorrectly come out to x^3 -10x^2 +32x -31 as mine did at first.

[@brianmclogan]

nice catch, not sure if it was laziness, just missed by me or good luck. Either way I appreciate you noticing and letting me know so other viewers can benefit

[@Maya-ub4cb]

Thanks! This is helpful.

[@mercedescrawford5344]

Thank you so much Brian! I have one of those professors who puts stuff on the homework, exams and quizzes that he didn't even teach! At 1:07 in the morning, it's been 11 hours of one days worth of math! I can SLEEP now! THANK YOU! 😂

[@lynnt353]

you just got a new subscriber (:

[@momstv1838]

Dude, you literally saved me from getting an F on a test tomorrow. You are doing God's work here. I applaud you, salute you, and praise you. Thank you :)

[@cr3160]

Helped me a lot. Great video. My teacher left out much of the explanation because she assumed everyone knew it. I especially like the way you write out the product of distribution, so that it isn't a single line and you have to discern like terms afterwards. I had never thought of doing that, and having tried it myself on a few problems, it is a lot clearer.

[@brianmclogan]

awesome! happy to help

[@tabithazieman4418]

I could not have passed my class without your videos. Thank you!

[@brianmclogan]

you are very welcome! happy to be there for you

[@jeffreyjin7020]

Does these video from 8 years ago still helps? Yes, the material never change 1+1 is always 2. These videos still helps a lot as long as there are still students on earth.

[@amruthaayyappan5927]

Thank you. Also I have a question,so when you’re doing x-(4-i) wouldn’t you distribute the negative??

[@will8270]

Amrutha Ayyappan He switched around the two linear factors that contain i. You definitely need to distribute the negative. My guess is that he did this to make the difference of two squares more visible for the next step.

[@cheshire__kat]

Thank you so much~ Years later and the help and assistance your videos bring are timeless!

[@akytoyuna3549]

Thank you so much, I finally feel like I can start to understand imaginary numbers!!

[@CrayonsIEat]

You've put up 2620 videos, I just have to say you're awesome and I think these should have more views.

[@dpr823]

how did you get the 8x at 3:12?

[@leonardmohr9450]

Awesome video, helps a bunch. I think you made a mistake that confused me for a second, and just putting it here so others don't get confused like I did, but i believe you forgot to multiply +i and -i by -1 when you were regrouping so it should instead be regrouped as (x-2)((x-4)-i)((x-4)+i). Doesn't actually make a difference in finding the correct answer :)

[@drnutilaa4205]

It's very good channel for math thank you very much 🙂🙂😊

[@brianmclogan]

You are very welcome

[@TheLuischavez6]

Dude your Awesome! Thanks to you I was able to figure out my homework! Math is Awesome!

[@PeterBlancoSocial]

I agree with CrayonsIEat, very helpful. It's nice to see someone who's got some personality rather than someone monotone or even just a video of a paper!

[@Thruthegalaxyandback]

Thank you for teaching the true language of the Universe.

[@PacesetterAbbey]

Wow! God will bless you tremendously!I was so frustrated when I couldn't solve this question, not until I found your video online. Thanks a bunch, it realm really helped me.... God Bless!

[@brianmclogan]

+lawal abbey you are very welcome! keep up the hard work

[@alieninstallation50]

Thank you for these videos. One thing ive been struggling with and notice you didn't have a video on is when the zeros of a polynomial are given along with a CONSTANT. Multiply all the factors out and then at the end multiply the whole polynomial by whatever gets the end term to that constant?

[@jaxs7800]

thank you for helping me understand a concept that I only need to know so I can pass through the school system

[@brianmclogan]

Exactly right

[@brianmclogan]

awesome! so happy to help!

[@brianmclogan]

your welcome!

[@MzwandileHarmans]

Mathematically, step 3 is written incorrectly. Should be (x-2)[(x-4)^2 - i^2]

[@CreativeBunchAcademy]

this helped a lot! just one question, why say a = x - 4 if your just gonna erase that?

[@closeencountersofthefrogki1275]

I have a similar problem where the zeroes are (5-4i) and (-i-2), the thing is i tried to work it out and noted the conjugate too so overall it gave me a polynomial with degree 4... but the answer aparently required me to only multiply out the factorised versions of the two zeroes and not use a conjugate of any sort... i'm really confused by this i'm not really sure what to do under what circumstance?

[@brianmclogan]

that is not making sense to me, all complex numbers have a complex conjugates

[@francoolguy2101]

I love your explanations. They have really helped me out this year with my algebra

[@brianmclogan]

awesome! happy to be able to help you out

[@williamlopez3715]

THANK YOU! this worked for my problem Degree 4; zeros: 3+2i ; 4 multiplicity 2

[@brianmclogan]

William Lopez awesome! happy to be able to help you out!

[@ananyaakumar2470]

What to do in case we have the cube root of a number as a zero??

[@MartinTheWarrior270]

My math teacher's awful - thanks, now I can actually learn the math curriculum!

[@brianmclogan]

happy to be here to do just that

[@AG-jp2ni]

Wonderful explanation. Thanks a bunch.

[@brianmclogan]

Lenny Shelby you are very welcome! happy to be able to help you out

[@xnosmokenoknivesx]

Aron G - Have Heart slaps bruv

[@sana-qx1pr]

Very helpful!

[@softteddyniel]

Thank you so much !! Your explanation helped me a lot to review for my test :)

[@brianmclogan]

+ᑭɛɬıɬє ᴹᴬᴷᴺᴬᴱ perfect! happy to be able to assist you!

[@forgamztalkzz8472]

So, is this like working backwards- from zeros to polynomial function ?

[@brianmclogan]

correct

[@mtqgaming6218]

Wouldn’t the problem be quadratic and not cubic because there is only two given zeroes?

[@myrobotisgas]

I don't understand why you regrouped the 2 imaginary terms the way you did. Could you elaborate on why that works?

[@myrobotisgas]

did you skip a step by distributing the negative 1 and not show it and then switch the position of the terms? it was a bit confusing

[@brianmclogan]

this is a more advanced example, I would start with the easier examples such as i then move to the a+bi form

[@melissadamestoir6464]

thank you, really helped me with mathlab

[@EMDream1990]

Thank you very much! This really helped me out!

[@brianmclogan]

awesome! happy to be able to help

[@inkella3720]

but doesn't it change the value if you add a conjugate??? i'm so confused!!! and an answer a month later won't help me, i have finals in 2 weeks

[@adnamaharas7935]

how do I factor g(x)=x to the 4 th power minus 16

[@fjccommish]

I can out teach this guy with my pen, brain, and math tied behind my back.

[@brianmclogan]

awesome! Keep making videos

[@ahmedaljaberi363]

Thx that was good explanation

[@migueltejada7794]

thank you a lot .....help me a lot.......

[@brianmclogan]

you are very welcome!

[@euclidofkekistan6071]

More interestingly, if one would look at the class of functions with those zeros and no other zeros, then one would have to introduce an associated class of non vanishing functions over R and those functions could not be a polynomials since that would raise the degree of the resulting function and hence the number of complex roots.

[@brianmclogan]

appreciate that point

[@xxmlgxx2151]

Thank you, my precalc teacher has been doing nothing to teach us other than videos **other** people made

[@brianmclogan]

Booo, hope this helped

[@Jay3Clipz]

Lol. I was stuck on a problem from my homework, clicked this video and then realized it is the same exact problem.

[@brianmclogan]

Bam!

[@SBooJa]

I've been trying to do this f o r e v e r and couldn't figure out what I was doing wrong. Your regrouping trick made it so easy for me, and I got the problem right! Thanks a lot! :)

[@brianmclogan]

+jessica.amber you are very welcome! happy I could help out

[@iomiberriold2336]

how do you do one that one that is 3+square root of 3, -2,-2

[@Pr1ncess222]

ok but what if my zeros are 1 and 5i? I cannot find anything on the internet and I'm getting frustrated and stressed out. I wasn't taught how to do this.

[@brianmclogan]

kzbin.info/www/bejne/h56Ximahaa2Dl5o This should help, let me know if not, you can always search my channel for "writing the equation of a polynomial with imaginary zeros"

[@jcinaty89]

Thank you for your help!

[@brianmclogan]

you are very welcome!

[@kunmioke7674]

i'm in college and i forgot how to do this, just just saved me lol Thanks

[@brianmclogan]

+Kunmi Oke you are very welcome! happy to help

[@allieg1023]

I've been searching ur channel for help. I need to write a polynomial function of least degree that has given zeros and I can't find anything like that on ur channel. Someone please help!

[@brianmclogan]

Hi Alison. I have a whole playlist for you kzbin.info/aero/PL0G-Nd0V5ZMoBBfHV3DrVqw_SzLnGLwOH Let me know if that helps

[@vardhinik3759]

Thank you sir

[@karinasouder7006]

I’m literally watching this during my test thanks lol

[@Mars-kt1kz]

What about if all 3 are rational?

[@kevinguzman5885]

He scratches his ass at 3:19 😂

[@adriancampa2514]

Let’s say you are given those three zeros already are you still supposed to conjugate all of them?

[@lynnt353]

Thank you so much!

[@jennya7352]

Thank you soooooo much!! Youre awsome!!:)

[@brianmclogan]

jenny A you are very welcome! happy to be able to help you out!

[@orangeman9081]

I bet your channel is gonna explode in views because of COVID

[@big_moe0076]

what would we do if the ex is f(2)=40 and they give you the zeros???

[@big_moe0076]

and the zeros give have no i's

[@brianmclogan]

when given your zeros use synthetic division to find the other factors and then the zeros. Since f(2)=40 2 is not a zero

[@meleekah360]

Muchas Gracias!!!

[@brianmclogan]

denada, havn't taken spanish in awhile, hope I spelled it right

[@mathematiknet]

You forgot a bracket in the third row: Wrong: (x-2)*(x-4)^2-i^2 Right: (x-2)* [(x-4)^2-i^2]

[@brianmclogan]

correct, thankfully I fixed it in the following row, thanks for sharing though so others are not confused

[@John-lf3xf]

Akademie Raddy with was literally 7 years ago bro

[@patdeely2068]

its 1140pm and your a life saver man

[@marissa954]

Thank you so much

[@brianmclogan]

you are very welcome!

[@marissa954]

what if the equation given is labelled as a and b as the coefficient and only 1solution is given and the question ask u to find the remaining solution and the value of a and b?

[@brianmclogan]

try synthetic division?

[@ArielLorusso]

The conjugated rooth is valid because you are summing the polynomial haves real coefficients. Not always true

[@brianmclogan]

thanks for sharing Ariel

[@TheMariaShoe]

Thank you!!(:

[@tuna-gunk]

Thanks!

[@brianmclogan]

+Doctor Kiwi you are very welcome!

[@tmbcyberman]

What was going on in the gym?

[@drnutilaa4205]

How I can thank you 🤭 Thank you

[@brianmclogan]

Happy to help :)

[@SSGloverk]

You shouldn't get 8x if you square 4. The x came out of nowhere.

[@rapperranker5156]

zoanna that is just from him doing F.O.I.L. Front, Outside, Inside, Last

[@dawgpound2718]

clutch for exams

[@brianmclogan]

hahaha it's all about math!

[@JVB012]

*cries* THANK YOOOU!

[@brianmclogan]

JVB012 you are very welcome! happy to be able to help you out!

[@rBJ817]

🤙🏾

[@brianmclogan]

😀

[@scarmiglionealighieri2666]

No offense but you look like that one math tutor from to catch a predator.

[@brianmclogan]

not sure how to respond to that

[@FizzyG]

I actually no the exact one you're talking about

[@welicia-wernaschroeder3278]

why did i become -1?

[@brianmclogan]

i^2 = -1 or i=sqrt(-1) so i^2 =(sqrt(-1))^2 which is just -1 since the square root and squaring are inverse operation of one another

[@mrkabtool2586]

why are you nervos

[@itskilmerr4027]

This shit! When the fuck are you gonna use it?

[@shannong8043]

Thank you so much!!

[@brianmclogan]

+Shannon G you are very welcome, happy to help