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.
Algebra - Free Formula Sheets:
bit.ly/3CBeZMY
Polynomials - More Video Lessons:
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[@TheOrganicChemistryTutor]

Algebra - Free Formula Sheets: bit.ly/3CBeZMY Polynomials - More Lessons: www.video-tutor.net/polynomials.html

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

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Real, But I already learned this 2 years ago and I forgot to do it again

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ong bro

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

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Fr

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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😁😁😁

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did you pass?

[@bubbabruh6309]

Yeah what the other guy said. Did you pass?

[@GODiKING]

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

[@manvibawa2542]

#MathHeloers

[@aeb2217]

Thank you!!

[@jaterahmoorer1516]

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

[@graceezaka1392]

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]

Which grade u are in ?

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@@justcurious1940grade 2

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

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You mean shortened?

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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

[@georgesadler7830]

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.

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Your understanding of math is on a next level😮

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

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Same

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Me

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my regents is in 2 days…!

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17 mins before lol😅

[@idk24-UK]

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

[@HP-fj2mi]

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.

[@emmanuelfrancis5877]

You are a genius guy, a very gifted person

[@thehowto_455]

Thanks this helps so much with home schooling because of quarantine

[@dnasty1979]

You've saved me in math class this year.

[@ScuffedCamper]

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

[@jaivardhansingh731]

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]

yeah man...i think you're right

[@faneganoluwasegun7763]

The degree references the variable such that for a constant, say 8, the degree references x to power 0 which is 1, and 8*1 is 8. Thus the degree for the unwritten variable x is 0.

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

[@quandarkumtanglehairs4743]

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]

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

[@datascientists0]

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

[@jessebelilagan1557]

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

[@elycunanan65]

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

[@edenmese4925]

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]

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]

Same with the +8

[@syedmdabid7191]

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.

[@DailyFrog_]

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

[@maryjasmine3634]

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

[@isurusavithmalkadeshaarang6702]

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

[@spiderdud3083]

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

[@robonkenhout7965]

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

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#MathHeloers

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Thanks, the easy and simple explanations.

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Thr best tutor I have seen here

[@Elsayed80]

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

[@carlitospapi]

Great vid, helped a lot

[@christinaagustin1845]

is degree the same as the order of the polynomial?

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

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Every teacher gangsta until I join your school.

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You are awesome man. God bless you

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thanks soo much you've defined it well

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#MathHeloers

[@lelledge77]

Thank you so much! Very helpful!

[@mallikatripathi6573]

it was really helpful. thanks :)

[@cherryloisebarquilla2788]

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]

I think that's a no

[@HiexlCrazy]

Definitely a no

[@SoumyadeepBhoumik1]

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

[@Sid_x3]

straight to topic! thats what i luv bout oc teacher

[@erilove1]

would you please do more videos on trigonometry and trigonometric identity

[@TheOrganicChemistryTutor]

I completed all the trig videos I can make already. You can find videos on trig identities in this playlist: kzbin.info/www/bejne/panLia1vlNqsn68

[@geraldjinx]

@@TheOrganicChemistryTutor Hi

[@sheldonblackwood4483]

Good explanation

[@sampadkumarsarkar9891]

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]

2

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

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I love your teaching

[@alvinjohnjangco6397]

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

[@herlee3560]

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

[@rhoo3605]

4:01 why is 7 a coefficient, isn't that a constant?

[@TisNano]

Would a binomial count as a polynomial?

[@saanviassar5320]

Wow it is very easy to understand

[@overseer699]

Thought the same too

[@thebloosm4557]

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

[@shaysframe1472]

The degree is 0 for 7? or 1?

[@geovanish]

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

[@njorogekiratu2427]

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]

#MathHeloers

[@dougd120]

Important to know the rules of polynomials and algebraic expressions.

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This channel is unlimited viewers

[@jaivardhansingh731]

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

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thank you for saving me i was about to fail math

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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

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Then fix it

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very good thanks a lot

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Learnt more here more than 2 hours school math class

[@cnarayanappa2513]

I need video of finding the polynomial or not

[@carljosephtang1395]

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...

[@heaveninforestofdandeli6593]

Thank you sir 🙏🙏

[@rhondakupun5661]

How can the constant term be the coefficient. It does not come with a pronumeral

[@niqtan109]

According to Deepseek, 7 is both a coefficient and constant mainly because it can be thought of multiplying it to x^0, which is a pronumeral.

[@kodyrussell6574]

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

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How do u get the term

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I owe you one.

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I love you+your videos 😍

[@AdityaRaj-wb3rw]

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

[@AdityaRaj-wb3rw]

I am not getting this answer

[@5ustain570]

trinomial/polinomial

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[@dej0406_]

We call the polynomial with many terms "multinomial"

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I love your voice

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

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I just aced my test because of this

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THANK YOU

[@yisroel5556]

So Polynomials are only 4 or more?

[@yrok244]

Anything with more than one term is a polynomial. Binomials, and Trinomials are polynomials.

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Yrok24 got it thx

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4:23 a ha ha ha

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What grade is everyone in?