Given a Polynomial Function Find All of the Zeros

[@darrell17ful]

I wish he was my math teacher in high school!

[@lexirae7648]

bro's better than all my math teachers combined.

[@brianmclogan]

perfect! happy to help

[@harshabeelur282]

wth

[@lukas_g243]

@@harshabeelur282 hes not good at replying to people ignore it

[@harshabeelur282]

@@lukas_g243 ikr

[@tylerdruskoff9689]

You literally have 100k views yet less than 1k likes. It’s an injustice

[@user12name34]

@@lukas_g243 He probably did reply to someone but it used to be that when you replied to someone the reply wasn’t attached to the comment

[@joeyhills212]

Daddy McLogan coming in clutch🙌

[@pinkeeplays]

can you do a video including finding irrational zeroes? i have trouble finding all the zeroes when one is rational and the other two are irrational for example

[@PantaFootball]

the way you explain this, is 10x more understanding than my teacher

[@mirandasmith9685]

Thank you!! My problem was exactly addressed by your video!

[@beyondthedetails]

This guy is incredible.. On the same level as Khan Academy in my opinion. He come's off as rude to his students though when they ask questions. I may be mis-reading things.. Great teacher though!

[@beantinproductions]

Thank you for your videos you teach me all the stuff my math teacher can't.

[@brianmclogan]

You are very welcome

[@nmesomabenjamin1114]

Your an amazing teacher please 🥺 keep teaching

[@hanf4415]

This is the first video you confuse us with your explanation.

[@andrewm6424]

Us? I realize English is probably not your first language. When talking about yourself, use “me”.

[@andrewm6424]

He probably has another video showing the Descartes Rule of Signs.

[@jayh-gb7gz]

@@andrewm6424 it’s not that serious pal

[@fiscaljoy]

@@andrewm6424 you’re not allat 😭🙏

[@804drewskii6]

Dead by the fact that he paused at 1:49

[@804drewskii6]

1:39

[@WinterFlare]

@@804drewskii6 100% call he was staring at a student 😂 my teacher does that to me sometimes

[@abigailwilliams6602]

I'm confused by when you do f(-x) and you get +++--

[@dybrt150]

I suppose for time's sake he didn't explain why he did what he did there. He looked at where the value of x would be negative and what the (even and odd) degrees, as well as what the existing signs, would do to them. (Read more if you want to see how) [x^4-7x^3+10x^2+14x-24] He labeled the signs in order of how they would be set up using synthetic division. So if f(-x) is applied to the function... x^4 would then be (-x)^4 which is positive (+). Next, -7x^3 would then be -7(-x)^3 which, when taking a negative to an odd power it remains negative, but when -7 is multiplied to -x, it will become positive(+)... So on and so forth.. So the setup of synthetic division comes out to the the coefficients' signs being: +,+,+,-,- as derived when making the function f(-x) (BTW, did you notice that the last sign of the polynomial ---> [-24]

[@Eclip_11]

@@dybrt150 great explanation thank you so much:')

[@marield6470]

I am so glad that I watched the entire video to catch the error, because I was watching this video to review for a test and I got so confused

[@brianmclogan]

sorry about that, where is the error as I do not have it posted in the comments and would like to let anyone else know if I made a mistake so others are not confused

[@marield6470]

When you re-wrote the factor around 8:24, but it is okay because I managed to watch the part where you caught your mistake.

[@brianmclogan]

ahhh okay, thanks!

[@nagarajnagarajvarma8214]

@@brianmclogan oh okay

[@georgesadler7830]

Thank you for the video.

[@MultiElCrAzY]

Thank you so much! I finally understand it! ;) !

[@brianmclogan]

you are very welcome! happy to help

[@ryanhamilton9405]

I assume the silence and staring was at a kid who was on their phone. Hilarious way to call them out without interrupting yourself😂😂

[@TheNeedToSee]

I’m am beyond lost usually his videos are slow and helpful

[@nol5152]

2:47 i don't understand this part what did you do to evaluate -x

[@PreciousAlpschindler]

This is like an experiment, whatever the number get me 0 at the end, that should be the answer.

[@dayviduh]

All these examples use 1st coefficients of 1! I can’t find any with like, 11 or 6

[@AidanMurray1]

Same!

[@mattepp4818]

I've been watching your videos to help me get through my grade 12 U functions class. I do not have a teacher and you've been really helpful, however, I have no idea what you mean by f(-x) does anyone have a link to someone who has covered this??? thanks for any help

[@rileylehman9114]

It’s the inverse of y

[@citrec1]

substitute -x for x in the equation

[@maryfahmy2141]

The inverse of the equation, if you have an equation and it says find the inverse, you need to solve for x in the normal order, then switch the x and y at the end

[@maryfahmy2141]

So sorry never mind! I was wrong

[@perfidiousprophet]

What's the difference between the root of a polynomial and a zero? And is a rational root different from a real root?

[@shabitzki0220]

roots and zeros are the same thing just a different name but idk the answer to the second question

[@lucasargandona4658]

2:32 what did she mean by subtract two?

[@bvipulananthan3428]

This is actually interesting

[@brianmclogan]

of course! haha

[@bvipulananthan3428]

Just a questions, are zeros the same as roots?

[@carolinegrant5109]

also, does this work if any of the constants = 0 ? i.e., ax^n + bx^(n-1) + cx^(n-2) + ... + k = f(x) and c = 0

[@ericlee7596]

What is that graphing technologies?

[@juliayg]

What about when there is x cube missing in the equation? I am stuck with it right now

[@hor-haygaming6117]

Julia G.길윤 it helps if you put it in as a 0x^3

[@lucasargandona4658]

How do you find the complex zeros?

[@brianmclogan]

easiest is using quadratic formula

[@carolinegrant5109]

does this work if k > a ?

[@edelgrc1988]

im still confused when you say "3 or 1 positive "

[@brianmclogan]

the rule is the number of sign changes minus an even number

[@trkingdavid4943]

kzbin.info/www/bejne/e3aZgXStj9CIn80

[@kaylaspire2278]

super helpful man

[@edgarestrada1146]

Thanks for the videos you made it really helpful understanding this material. Question? Where does this math apply to literally anything in real life?

[@solohunter4394]

Thank youuuuuuuuuuu

[@classclownbeautyqueen4791]

what is the graphing technology that he is referring to? graphing calculator ?

[@yonathanwondimu747]

Yeah

[@УалиханТурсинов]

watching Randy Orton explaining how to handle tommorow's exam

[@trkingdavid4943]

you really unique

[@lalo2papi775]

i am going to go ahead and assume the kid at 1:35 had his phone out

[@austinwhiting5482]

Saved. My. Life.

[@kevcopo]

You gave the stare of death at 1:48, scared even me..

[@brianmclogan]

😡😡😡🙀🙀🙀

[@selmerial]

this was very good but you are too fast, which is hard for others to undestand

[@cynthiasozzani]

i have an equation on my practice exam thats f(x)= 8x^4-20x^3-14x^2+5x+3 to find all possible rational zeros and im still confused after watching this video.

[@zahrakhan7581]

3:56 clever

[@kishaC-n6g]

GOD BLESS

[@aryabhattatv2552]

For this Indrajeet's Law is very easy law to solve it, so first of all you should read this law on Google.

[@kishaC-n6g]

And thank you REPENT AND BE BAPTISED IN LORD JESUS NAME AMEN!!!

[@pranit3005]

good brain

[@brittanywhite2140]

I don't get it

[@armandomarcos3483]

Brainy😀

[@Kefefuerjede]

what if the constant = 0

[@SM-qn7sr]

Like 4x^3+3x^2-6x? Then factor out the x, and use quadratic formula to find the zeroes

[@coltonbest5511]

I wish my teahcer agreed with graphing technology lol, who cares how you get the answer.

[@BrownCookieBoy]

your q looks like an 8

[@lalo2papi775]

fr

[@khalidu3545]

Why maths is so hard?

[@jaywillys1]

He is too fast. I am very confused . He messed up the board real bad.

[@thatfreshyprince]

Most of it is application from previous videos. I thought so too when I first watched, but look around and it should come together.

[@Julieroolie24]

I’m just getting more confused :/

[@douglasservesjesus]

Jesus Christ is coming soon, God is telling y'all to repent from your sins and live a life for him so you wont get left behind when he comes back and take his people.

[@YeahIGotNuthin]

how did you figure out the negative part? I still don't understand.