Polynomials - Classifying Monomials, Binomials & Trinomials - Degree & Leading Coefficient

This algebra video tutorial provides a basic introduction into polynomials. It explains how to identify a monomial, binomial, and a trinomial according to the number of terms present in an algebraic expression. it also explains how to identify all of the terms in a polynomial as well as their respective coefficients. It discusses how to identify the degree of the polynomial as well as the leading term and leading coefficient of the polynomial. This video contains plenty of examples and practice problems.
Introduction to Polynomials:
• Polynomials - Classify...
Polynomials - Basic Operations:
• Polynomials - Adding, ...
Dividing Polynomials By Monomials:
• Dividing Polynomials B...
How To Graph Polynomial Functions:
• How To Graph Polynomia...
Intermediate Value Theorem:
• Intermediate Value The...
_____________________________________
Long Division - Polynomials:
• Long Division With Pol...
Polynomial Long Division - More Examples:
• Polynomials - Long Di...
Synthetic Division of Polynomials:
• Synthetic Division of ...
Remainder Theorem & Synthetic Division:
• Remainder Theorem and ...
Factor Theorem & Synthetic Division:
• Factor Theorem and Syn...
Rational Zero Theorem:
• Finding All Zeros of a...
______________________________________
Real & Imaginary Solutions - Polynomials:
• How To Find The Real &...
Solving Polynomial Equations - Synthetic D:
• Solving Polynomial Equ...
Solving Polynomial Equations With Excel:
• Solving Polynomial Equ...
Writing Polynomial Functions Given Zeros:
• Writing Polynomial Fun...
Descartes Rule of Signs:
• Descartes Rule of Signs
Solving Polynomial Inequalities:
• Solving Polynomial Ine...
_____________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 222

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor6 ай бұрын

    Final Exams and Video Playlists: www.video-tutor.net/

  • @giantutorial2628

    @giantutorial2628

    4 ай бұрын

    hakdug

  • @Papa-vp2yc
    @Papa-vp2yc3 жыл бұрын

    I, will never use this math in my LIFE. But i still want that A

  • @awhore4jungwoo220

    @awhore4jungwoo220

    3 жыл бұрын

    Same

  • @frostyappeal1295

    @frostyappeal1295

    3 жыл бұрын

    yep, my mom has a mop against my head.

  • @carllagriada9315

    @carllagriada9315

    3 жыл бұрын

    @@frostyappeal1295 ok

  • @selwaabrar9800

    @selwaabrar9800

    3 жыл бұрын

    @@carllagriada9315are you the mother of her hh

  • @luxfries1524

    @luxfries1524

    2 жыл бұрын

    @@carllagriada9315 legit made your account 4 months ago

  • @HerculesMines
    @HerculesMines5 жыл бұрын

    You have such a calming voice

  • @farhankutub6564

    @farhankutub6564

    4 жыл бұрын

    Mark of a mathematical genius

  • @nuhameteklu9250

    @nuhameteklu9250

    3 жыл бұрын

    It’s cause we need it to not freak

  • @firegamers2659

    @firegamers2659

    3 жыл бұрын

    @@farhankutub6564 right

  • @fuckhoes6369

    @fuckhoes6369

    3 жыл бұрын

    F4k dis h2e voice 🤣🤣🤣

  • @daisypansy5850

    @daisypansy5850

    5 ай бұрын

    Fr

  • @Brooklynemig
    @Brooklynemig5 ай бұрын

    Learned more from this channel is 11 minutes than from my math teacher in 5 days

  • @themarvelbunch8604
    @themarvelbunch86043 жыл бұрын

    Thanks, you helped me pass my physics test and now I feel confident that I’ll certainly pass this one too. Hope you’re doing well😁😁😁

  • @Aries2nd

    @Aries2nd

    9 ай бұрын

    did you pass?

  • @jaterahmoorer1516
    @jaterahmoorer15165 жыл бұрын

    You really need your own app you really are helping me so much.

  • @georgesadler7830
    @georgesadler78302 жыл бұрын

    MR. Organic Chemistry Tutor, thank you for another well explained video/lecture on Introduction to Polynomials-Classifying Monomials/Binomials/Trinomials in Algebra One. These are well known topics in all of Pure and Applied Mathematics.

  • @graceezaka1392
    @graceezaka1392 Жыл бұрын

    I've been struggling with this polynomial a long time ago that I felt my grades will suffer but with your teaching, I'm confident that I will make a good one. Thanks man👍👍

  • @justcurious1940

    @justcurious1940

    10 ай бұрын

    Which grade u are in ?

  • @MuhammadAzeem-ht1jv

    @MuhammadAzeem-ht1jv

    5 ай бұрын

    @@justcurious1940grade 2

  • @MuhammadAzeem-ht1jv

    @MuhammadAzeem-ht1jv

    5 ай бұрын

    @@justcurious1940grade 8!!

  • @GODiKING
    @GODiKING Жыл бұрын

    0:00 Classifying 1:48 Classifying the Following Expression as a Monomial Binomial 3:08 Identify the Coefficient of Every Term

  • @manvibawa2542

    @manvibawa2542

    Жыл бұрын

    #MathHeloers

  • @aeb2217

    @aeb2217

    9 ай бұрын

    Thank you!!

  • @Ckretunique
    @Ckretunique3 жыл бұрын

    A lot of the videos comments are turned off but you are a great teacher I’m studying for the asvab and I SUCK AT MATH. Now I know how to do every type of math problem. Thank you

  • @IceyDivine
    @IceyDivine5 жыл бұрын

    You really opened my eyes today xD

  • @HP-fj2mi
    @HP-fj2mi5 жыл бұрын

    Great job. Thank you very much! I like watching your videos because you actually take your time in explaining these concepts. I'm struggling with modular arithmetic, multiplicative inverse, and congruents. Could you please make a video about that? Thank you kindly.

  • @wallacemudenda1728
    @wallacemudenda17285 жыл бұрын

    Please i need to know the video were i can fine the "alpha, beta roots of quadratic?"

  • @ScuffedCamper
    @ScuffedCamper3 жыл бұрын

    4:25 saw this during class and thought I would share this very funny number.

  • @elycunanan65
    @elycunanan652 жыл бұрын

    This is a very good explanation. Keep it up. Thanks

  • @edenmese4925
    @edenmese49254 жыл бұрын

    7 is actually not a coefficient it’s a constant because it does not follow or multiply a variable.... at least I think, correct me if I’m wrong

  • @ostapigor1607

    @ostapigor1607

    3 жыл бұрын

    your interpretation is correct, but also his interpretation is correct ,because we can write 7 as 7x^0(which is 7*1) or just 7 upd: sorry for my bad english

  • @kylereynhart

    @kylereynhart

    2 жыл бұрын

    Same with the +8

  • @meerabbb1211
    @meerabbb1211 Жыл бұрын

    People watching this video one day before exam do comment 😭😁

  • @mr.rtxkilleryt3810

    @mr.rtxkilleryt3810

    Жыл бұрын

    Same

  • @Mom-MeCreations

    @Mom-MeCreations

    9 ай бұрын

    Me

  • @keqingtheelectro9644

    @keqingtheelectro9644

    Ай бұрын

    my regents is in 2 days…!

  • @KarmaChoden-pp9sm

    @KarmaChoden-pp9sm

    28 күн бұрын

    Me 💪😞

  • @destineewilliams1670
    @destineewilliams16702 жыл бұрын

    You've saved me in math class this year.

  • @thehowto_455
    @thehowto_4554 жыл бұрын

    Thanks this helps so much with home schooling because of quarantine

  • @lelledge77
    @lelledge773 жыл бұрын

    Thank you so much! Very helpful!

  • @carlitospapi
    @carlitospapi2 жыл бұрын

    Great vid, helped a lot

  • @hakizimanahussein7563
    @hakizimanahussein75634 жыл бұрын

    This guy is good at teach he is teaching and i feel first time learning them

  • @daisypansy5850
    @daisypansy58505 ай бұрын

    Thank you, this really helps and your voice is so calming. I love ur voice.

  • @Raul-in3tj
    @Raul-in3tj4 жыл бұрын

    This is really helpful, I just have been trying to understand lIke for 3 hours and this video just resumed it to 11 minutes!

  • @yrok244

    @yrok244

    4 жыл бұрын

    You mean shortened?

  • @brantmkw4783

    @brantmkw4783

    3 жыл бұрын

    big chunnus

  • @bobo-eo2qq

    @bobo-eo2qq

    2 жыл бұрын

    @@brantmkw4783 amongus

  • @datascientistoflife8550
    @datascientistoflife85503 жыл бұрын

    Excellent Bro I wish I have maths teacher like u..

  • @gavinfaracchio9536
    @gavinfaracchio95363 жыл бұрын

    CONGRATTTSS ON 3 MILLION SUBS LETSSS GOOOO

  • @mallikatripathi6573
    @mallikatripathi65732 жыл бұрын

    it was really helpful. thanks :)

  • @marieassouman645
    @marieassouman6453 ай бұрын

    Thanks, the easy and simple explanations.

  • @emmanuelfrancis5877
    @emmanuelfrancis5877 Жыл бұрын

    You are a genius guy, a very gifted person

  • @jessebelilagan1557
    @jessebelilagan15574 жыл бұрын

    This has taught me very well, i learned just 11 mins. And it's quite helpful for me

  • @backwhenthingsmadesense9418
    @backwhenthingsmadesense94183 жыл бұрын

    You are awesome man. God bless you

  • @spiderdud3083
    @spiderdud30834 жыл бұрын

    thanks dude I was doing my flipping math assignments lmao thx for that. You should be a teacher

  • @annpurnasharma1221
    @annpurnasharma12215 жыл бұрын

    very good thanks a lot

  • @okemefulachidera5440
    @okemefulachidera54405 ай бұрын

    Thr best tutor I have seen here

  • @commanderpurple5228
    @commanderpurple52285 ай бұрын

    Thanks this really helped.

  • @anthonytochukwu1004
    @anthonytochukwu10042 жыл бұрын

    I love your teaching

  • @sumayyasumayya7282
    @sumayyasumayya72823 жыл бұрын

    Good explained

  • @Sid_x3
    @Sid_x321 күн бұрын

    straight to topic! thats what i luv bout oc teacher

  • @prestogaming3029
    @prestogaming30294 жыл бұрын

    super thx! keep it up!

  • @sheldonblackwood4483
    @sheldonblackwood44833 жыл бұрын

    Good explanation

  • @perisjemurgor4908
    @perisjemurgor4908 Жыл бұрын

    thanks soo much you've defined it well

  • @manvibawa2542

    @manvibawa2542

    Жыл бұрын

    #MathHeloers

  • @Mattressduck
    @Mattressduck Жыл бұрын

    thanks, super helpful and way better than khan academy !!!

  • @leselimatlosa
    @leselimatlosa4 жыл бұрын

    thank u this really helps alot i got 100%on my shoolpaper thanx alot i subscribed

  • @xanimex8142
    @xanimex81422 жыл бұрын

    Thank you very much sir ☺️

  • @dyepaintball403
    @dyepaintball4034 жыл бұрын

    thank you very much!

  • @DailyFrog_
    @DailyFrog_4 жыл бұрын

    wow, I just realized that I watch the whole video. :0

  • @maryjasmine3634

    @maryjasmine3634

    Жыл бұрын

    Me too because I needed it for my homework or my brain 😂

  • @akisachie
    @akisachie2 жыл бұрын

    pov: you are having an exam soon, so you searched these kinds of videos XD

  • @christinaagustin1845
    @christinaagustin18452 жыл бұрын

    is degree the same as the order of the polynomial?

  • @thebloosm4557
    @thebloosm45574 жыл бұрын

    What about if it is x/2-y-1 Answer please what will it be

  • @robonkenhout7965
    @robonkenhout7965 Жыл бұрын

    Please do a video like this with more complex terms, like with fractions, square roots, etc.

  • @manvibawa2542

    @manvibawa2542

    Жыл бұрын

    #MathHeloers

  • @omgaustin3553
    @omgaustin35532 жыл бұрын

    U just saved my ass so hard thank you so much

  • @cherryloisebarquilla2788
    @cherryloisebarquilla27883 жыл бұрын

    hi! how can you identify the coefficients and the degree with these expressions: 3/4 (a+b) and 3 (x+y) - 6x^3 y^5 - 5x^2 y^2 + 7 ???

  • @prestongonzalez3836

    @prestongonzalez3836

    3 жыл бұрын

    I think that's a no

  • @HiexlCrazy

    @HiexlCrazy

    Жыл бұрын

    Definitely a no

  • @syedmdabid7191
    @syedmdabid71913 жыл бұрын

    Rank, Order &Degree of a poly nomial =? 1-No. Of tatal variable is rank of one. 2-The total no. of term is order of one. 3- The highest power of term is degree of polynomial.

  • @heaveninforestofdandeli6593
    @heaveninforestofdandeli65932 жыл бұрын

    Thank you sir 🙏🙏

  • @phonesitnoenoe1535
    @phonesitnoenoe1535 Жыл бұрын

    I owe you one.

  • @alvinjohnjangco6397
    @alvinjohnjangco63972 жыл бұрын

    it's... surprisingly not that hard. thanks man! preciate your vid

  • @ezekielerne6712
    @ezekielerne67124 жыл бұрын

    You blow my mind

  • @theworldofchachundar5628

    @theworldofchachundar5628

    4 жыл бұрын

    Then fix it

  • @keithgaming7126
    @keithgaming7126 Жыл бұрын

    Thx dude

  • @maryamwahab3271
    @maryamwahab32713 жыл бұрын

    Wow your are teaching so beautiful

  • @Turkiiiq
    @Turkiiiq2 жыл бұрын

    thanks

  • @sofiman6824
    @sofiman68242 жыл бұрын

    There is one way to express ma feelings ...........i wanna hug yaa bro 😊

  • @elenaolivare923
    @elenaolivare9234 жыл бұрын

    I love your voice

  • @saanviassar5320
    @saanviassar53204 жыл бұрын

    Wow it is very easy to understand

  • @overseer699

    @overseer699

    Жыл бұрын

    Thought the same too

  • @quandarkumtanglehairs4743
    @quandarkumtanglehairs4743 Жыл бұрын

    Thank you again for yet another concise and calm presentation! I really like your style. A number's or variable's identity-degree, 1, is itself, as in x^1=x, and it's zeroth degree is always 1, as in x^0 = 1. Conversely, a constant's coefficient degree of 0 is itself, as in 7 is zeroth degree of constant. This doesn't make sense, considering previous geometric proofs of squares and cubes, until we see that it is assumed in this convention, of the form: ax0, where 'a' is the constant coefficient, multiplied by x^0, which is always 1.

  • @ultimatekelvin1235

    @ultimatekelvin1235

    7 ай бұрын

    I was thinking the same. So therefore, the degree of 7 is 1?

  • @carljosephtang1395
    @carljosephtang13953 жыл бұрын

    Can someone please answer... Cause there a question here that said: "3x²1-yz+yz²--2xyz+4y²-z²" and the degree is 6 but the highest is 3...

  • @sampadkumarsarkar9891
    @sampadkumarsarkar98913 жыл бұрын

    Sir, what is the leading term, coefficient, degree of the polynomial 8x(degree of x=2)y+5xy+2xy(degree of y=2)+4

  • @providence3977

    @providence3977

    3 жыл бұрын

    2

  • @jheanaalmena7525
    @jheanaalmena7525 Жыл бұрын

    THANK YOU

  • @rosette_renah
    @rosette_renah3 жыл бұрын

    I love you+your videos 😍

  • @jeffersonarruda944
    @jeffersonarruda9444 жыл бұрын

    Who else is thinking why can't he be my math teacher

  • @theworldofchachundar5628

    @theworldofchachundar5628

    4 жыл бұрын

    Every teacher gangsta until I join your school.

  • @john31273

    @john31273

    4 жыл бұрын

    I don't need him to be my math teacher. I already have the best mathematics teacher in the world.......😄😄😄

  • @prestongonzalez3836

    @prestongonzalez3836

    3 жыл бұрын

    @@john31273 okay boomer

  • @scarlettavalagriada7532

    @scarlettavalagriada7532

    3 жыл бұрын

    Looooooool 🤡

  • @whitephantom.2107

    @whitephantom.2107

    2 жыл бұрын

    @@scarlettavalagriada7532 Mad math teacher? You are the clown with that shitty profile picture.

  • @Elsayed80
    @Elsayed803 жыл бұрын

    The likes are little but the help is a lot especially in minutes 3 to 6

  • @herlee3560
    @herlee35602 жыл бұрын

    4:36 7's degree should be 1 not 0 right?? (7 to the power of 0 is 1 not 7)

  • @tucker2138
    @tucker21385 жыл бұрын

    4:23 a ha ha ha

  • @husseinwassim2531

    @husseinwassim2531

    4 жыл бұрын

    420  I͜͡L͜͡L͜͡U͜͡M͜͡I͜͡N͜͡A͜͡T͜͡I͜͡ C̸O̸N̸F̸I̸R̸M̸E̸D̸

  • @husseinwassim2531

    @husseinwassim2531

    4 жыл бұрын

    Nice

  • @rylianianthus

    @rylianianthus

    3 жыл бұрын

    Whatcha smokin

  • @marth3141

    @marth3141

    3 жыл бұрын

    N I c e

  • @providence3977

    @providence3977

    3 жыл бұрын

    @@rylianianthus lmao

  • @njorogekiratu2427
    @njorogekiratu2427 Жыл бұрын

    Thank you for the video, a clarification. In minute 7:26 if the degree of 8 is zero, is 8^0 not 1. Please help.

  • @manvibawa2542

    @manvibawa2542

    Жыл бұрын

    #MathHeloers

  • @erilove1
    @erilove16 жыл бұрын

    would you please do more videos on trigonometry and trigonometric identity

  • @TheOrganicChemistryTutor

    @TheOrganicChemistryTutor

    6 жыл бұрын

    I completed all the trig videos I can make already. You can find videos on trig identities in this playlist: kzread.info/dash/bejne/oaycutxyj9jfmbA.html

  • @geraldjinx

    @geraldjinx

    2 жыл бұрын

    @@TheOrganicChemistryTutor Hi

  • @jaivardhansingh731
    @jaivardhansingh73128 күн бұрын

    7:16 It does not have a power of zero coz anything to the power of zero is equal to one(1) & as you you had mentioned earlier , that 8 is a constant , so it cannot become 1 as its value is fixed. Please correct me if I'm wrong :)

  • @shreyashsingh522

    @shreyashsingh522

    28 күн бұрын

    yeah man...i think you're right

  • @geovanish
    @geovanish2 жыл бұрын

    Degree 4,2,0 distracted me but really good explanation

  • @SoumyadeepBhoumik1
    @SoumyadeepBhoumik111 ай бұрын

    4:24 But , isn't 7 to the power of 0 = 1 ?

  • @shaysframe1472
    @shaysframe14722 жыл бұрын

    The degree is 0 for 7? or 1?

  • @TisNano
    @TisNano3 жыл бұрын

    Would a binomial count as a polynomial?

  • @destinybeardy3932
    @destinybeardy39323 жыл бұрын

    thank you for saving me i was about to fail math

  • @cnarayanappa2513
    @cnarayanappa25132 жыл бұрын

    I need video of finding the polynomial or not

  • @user-lg2nt8ih2z
    @user-lg2nt8ih2z5 ай бұрын

    How do u get the term

  • @dej0406_
    @dej0406_4 жыл бұрын

    We call the polynomial with many terms "multinomial"

  • @cnarayanappa2513
    @cnarayanappa25132 жыл бұрын

    Will you make the ???? It is needed one

  • @darwindelacruz6380
    @darwindelacruz63803 жыл бұрын

    This channel is unlimited viewers

  • @westonw6531
    @westonw65314 жыл бұрын

    Thx

  • @isurusavithmalkadeshaarang6702
    @isurusavithmalkadeshaarang670226 күн бұрын

    6x^4-5x^2+7 6 is the coefficient of 6x^4 5 is the coefficient of 5x^2 But 7 ? there is a no variable with 7 How can we take 7 as a coefficient ? I think 7 should be constant Would you please explain me🙂 and I like your lessons very much ❤ Thank you

  • @user-vj1gw4gl6d
    @user-vj1gw4gl6d10 ай бұрын

    Learnt more here more than 2 hours school math class

  • @jaivardhansingh731
    @jaivardhansingh73128 күн бұрын

    3:20 Isn't It a trinomial rather than a polynomial ?

  • @bahogak1472
    @bahogak147211 ай бұрын

    Thank you do much my dare❤☪️

  • @zuluflexxboswellow133
    @zuluflexxboswellow1333 жыл бұрын

    very much easy

  • @artinjafari5218
    @artinjafari5218 Жыл бұрын

    I just aced my test because of this

  • @DDMs-jt8ol
    @DDMs-jt8ol3 жыл бұрын

    You just explained what my teacher explained in such a shorter time frame. At this point we should just use these yt math videos instead of an actuall teacher

  • @xdifaaamp8035
    @xdifaaamp80353 жыл бұрын

    Here in 2020 cause my skl sucks this guys beats them

  • @faith9106
    @faith91063 жыл бұрын

    What grade is everyone in?

  • @kodyrussell6574
    @kodyrussell65744 ай бұрын

    me: ok this should take 10 mintues my brain: this might be more longer than you think

  • @assilarefee1413
    @assilarefee14136 жыл бұрын

    hey

  • @mari-jg7ts
    @mari-jg7ts4 жыл бұрын

    5:09 6:32

  • @AdityaRaj-wb3rw
    @AdityaRaj-wb3rw2 жыл бұрын

    2y-7/3z/x it is what binomial or Trinomial,

  • @AdityaRaj-wb3rw

    @AdityaRaj-wb3rw

    2 жыл бұрын

    I am not getting this answer

  • @5ustain570

    @5ustain570

    2 жыл бұрын

    trinomial/polinomial

  • @Erial.lcx.
    @Erial.lcx.3 жыл бұрын

    Yeah watching this cuz I forgot what polynomials are and I don't have my notebook last yr and I have online classes ;-;