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-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

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

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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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did you pass?

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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👍👍

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Which grade u are in ?

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@@justcurious1940grade 2

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[@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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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

[@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!!

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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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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.

[@hakizimanahussein7563]

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

[@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

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You really opened my eyes today xD

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

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

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[@idk24-UK]

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

[@elycunanan65]

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

[@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.

[@SoumyadeepBhoumik1]

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

[@jessebelilagan1557]

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

[@marieassouman645]

Thanks, the easy and simple explanations.

[@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?

[@Mattressduck]

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[@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 :)

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Great vid, helped a lot

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

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Thank you so much! Very helpful!

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

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it was really helpful. thanks :)

[@dougd120]

Important to know the rules of polynomials and algebraic expressions.

[@christinaagustin1845]

is degree the same as the order of the polynomial?

[@TisNano]

Would a binomial count as a polynomial?

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straight to topic! thats what i luv bout oc teacher

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

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

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

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[@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...

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I need video of finding the polynomial or not

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

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[@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

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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:
th-cam.com/video/oxhXz9_uyiM/w-d-xo.html

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[@herlee3560]

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

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[@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

[@dej0406_]

We call the polynomial with many terms "multinomial"

[@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 ???

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I think that's a no

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Learnt more here more than 2 hours school math class

[@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.

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#MathHeloers

[@shaysframe1472]

The degree is 0 for 7? or 1?

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I owe you one.

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[@jaivardhansingh731]

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

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

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

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I am not getting this answer

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trinomial/polinomial

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5:09
6:32

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What grade is everyone in?

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