Given a Polynomial Function Find All of the Zeros

Рет қаралды 251,459

11 жыл бұрын

👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values of x for which the value of the polynomial is zero.
To find the zeros of a polynomial that cannot be easily factored, we first equate the polynomial to 0. Next, we 'guess' one of the factors of the polynomial and then use synthetic division or long division to find other factor(s) the polynomial. After we have obtained the factors and have factored the polynomials, we can then use the zero-product property, quadratic formula or any other applicable property or formula to evaluate the factored polynomial and hence obtain the zeros of the polynomial.
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Organized Videos:
✅Zeros of a Polynomial by Factoring
• Zeros of a Polynomial ...
✅Zeros and Multiplicity of Polynomials | Learn About
• Zeros and Multiplicity...
✅How to Find all of the Zeros by Sum and Difference of Two Cubes
• How to Find all of the...
✅How to Find all of the Zeros by Grouping
• How to Find all of the...
✅How to Find all of the Zeros in Factored Form
• How to Find all of the...
✅How to Find all of the Zeros by Factoring 5th Degree
• How to Find all of the...
✅How to Find all of the Zeros by Difference of Two Squares
• How to Find all of the...
✅How to Find all of the Zeros by Factoring 4th Degree
• How to Find all of the...
✅How to Find all of the Zeros of a 3rd Degree Polynomial
• How to Find all of the...
✅How to Find all of the Zeros Without Factoring
• How to Find all of the...
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#polynomials #brianmclogan

Пікірлер: 95

@darrell17ful 3 жыл бұрын

I wish he was my math teacher in high school!

@lexirae7648 Жыл бұрын

bro's better than all my math teachers combined.

@mirandasmith9685 5 жыл бұрын

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

@joeyhills212 4 жыл бұрын

Daddy McLogan coming in clutch🙌

@pinkeeplays 4 жыл бұрын

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

@nmesomabenjamin1114 Жыл бұрын

Your an amazing teacher please 🥺 keep teaching

@PantaFootball 10 жыл бұрын

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

@beyondthedetails 4 жыл бұрын

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!

@abigailwilliams6602 5 жыл бұрын

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

@dybrt150 4 жыл бұрын

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]

@idontlikeyourburger6752 3 жыл бұрын

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

@brianmclogan 10 жыл бұрын

perfect! happy to help

@harshabeelur282 4 жыл бұрын

wth

@lukas_g243 4 жыл бұрын

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

@harshabeelur282 4 жыл бұрын

@@lukas_g243 ikr

@tylerdruskoff9689 3 жыл бұрын

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

@user12name34 Жыл бұрын

@@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

@hanf4415 4 жыл бұрын

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

@andrewm6424 Жыл бұрын

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

@andrewm6424 Жыл бұрын

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

@jayh-gb7gz 4 ай бұрын

@@andrewm6424 it’s not that serious pal

@georgesadler7830 2 жыл бұрын

Thank you for the video.

@beantinproductions Жыл бұрын

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

@brianmclogan Жыл бұрын

You are very welcome

@MultiElCrAzY 10 жыл бұрын

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

@brianmclogan 10 жыл бұрын

you are very welcome! happy to help

@carolinegrant5109 4 жыл бұрын

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

@ryanhamilton9405 3 жыл бұрын

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

@804drewskii6 5 жыл бұрын

Dead by the fact that he paused at 1:49

@804drewskii6 5 жыл бұрын

1:39

@WinterFlare 3 жыл бұрын

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

@kaylaspire2278 3 жыл бұрын

super helpful man

@alpzepta 5 жыл бұрын

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

@marield6470 6 жыл бұрын

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 6 жыл бұрын

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 6 жыл бұрын

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 6 жыл бұрын

ahhh okay, thanks!

@nagarajnagarajvarma8214 3 жыл бұрын

@@brianmclogan oh okay

@solohunter4394 Жыл бұрын

Thank youuuuuuuuuuu

@austinwhiting5482 3 жыл бұрын

Saved. My. Life.

@TheNeedToSee Жыл бұрын

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

@nol5152 3 жыл бұрын

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

@dayviduh 3 жыл бұрын

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

@AidanMurray1 3 жыл бұрын

Same!

@bvipulananthan3428 6 жыл бұрын

This is actually interesting

@brianmclogan 6 жыл бұрын

of course! haha

@bvipulananthan3428 6 жыл бұрын

Just a questions, are zeros the same as roots?

@mattepp4818 4 жыл бұрын

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 4 жыл бұрын

It’s the inverse of y

@citrec1 3 жыл бұрын

substitute -x for x in the equation

@maryfahmy2141 2 жыл бұрын

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 2 жыл бұрын

So sorry never mind! I was wrong

@carolinegrant5109 4 жыл бұрын

does this work if k > a ?

@trkingdavid4943 3 жыл бұрын

you really unique

@zahrakhan7581 4 жыл бұрын

3:56 clever

@juliayg 5 жыл бұрын

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

@hor-haygaming6117 5 жыл бұрын

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

@edelgrc1988 5 жыл бұрын

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

@brianmclogan 5 жыл бұрын

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

@trkingdavid4943 3 жыл бұрын

kzfaq.info/get/bejne/e6tmg6Sov9G5mZ8.html

@ericlee7596 4 жыл бұрын

What is that graphing technologies?

@perfidiousprophet 3 жыл бұрын

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

@shabitzki0220 Жыл бұрын

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

@lucasargandona4658 5 жыл бұрын

How do you find the complex zeros?

@brianmclogan 5 жыл бұрын

easiest is using quadratic formula

@pranit3005 4 жыл бұрын

good brain

@user-rv4ep1bs2p 8 ай бұрын

GOD BLESS

@lucasargandona4658 5 жыл бұрын

2:32 what did she mean by subtract two?

@YeahIGotNuthin 9 ай бұрын

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

@classclownbeautyqueen4791 4 жыл бұрын

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

@yonathanwondimu747 3 жыл бұрын

Yeah

@user-kf3ul5vd7y 8 ай бұрын

watching Randy Orton explaining how to handle tommorow's exam

@armandomarcos3483 4 жыл бұрын

Brainy😀

@cynthiasozzani 8 ай бұрын

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.

@kevcopo 2 жыл бұрын

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

@brianmclogan 2 жыл бұрын

😡😡😡🙀🙀🙀

@lalo2papi775 3 жыл бұрын

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

@selmerial Жыл бұрын

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

@edgarestrada1146 9 ай бұрын

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

@aryabhattatv2552 5 жыл бұрын

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

@user-rv4ep1bs2p 8 ай бұрын

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

@coltonbest5511 2 жыл бұрын

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

@Kefefuerjede 4 жыл бұрын

what if the constant = 0

@SM-qn7sr 3 жыл бұрын

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

@BrownCookieBoy 5 жыл бұрын

your q looks like an 8

@lalo2papi775 3 жыл бұрын

@khalidu3545 3 жыл бұрын

Why maths is so hard?

@brittanywhite2140 2 жыл бұрын

I don't get it

@okapibx5522 Жыл бұрын

I’m just getting more confused :/

@jaywillys1 4 жыл бұрын

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

@thatfreshyprince 4 жыл бұрын

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

@douglasservesjesus 3 жыл бұрын

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.