Is there a video explaining what polynomials, monomials, and binomials are?

Those are covered in the intro to polynomials section: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/introduction-to-polynomials/v/polynomials-intro

Can't the area also be founds by adding 4xy+4xy+2y+2y, which = 8xy+4y? Can someone show me how this is = to 8xy^2? Thanks

Area = Length * Width You are finding the perimeter = 2(length) + 2(width). They are not the same.

Is there a video that helps with binomials,monomials,polynomials?

There's an entire set of videos https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions , without a more specific question it's going to be hard to give a more specific answer...

He put the width where the length should be, and he placed the length where the width should be in the beginning.

Yeah, that's true, but it doesn't matter where he puts it, he still gets the same answer,

What exactly is the term that is both behind 4 and 2?

They are not terms but factors (something you multiply with). You use letters instead of numbers to indicate that it is a variable. The value of x and y could be any number (in this case they should be positive since sidelengths are positive)

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Algebra (all content)

Course: Algebra (all content) > Unit 10

Lesson 4: Multiplying monomials

Multiplying monomials to find area: two variables

Name: Multiplying monomials to find area: two variables
Uploaded: 2011-02-20T16:28:49Z
Description: Sal expresses the area of a rectangle with length 4xy and width 2y as a monomial.

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Sal expresses the area of a rectangle with length 4xy and width 2y as a monomial. Created by Sal Khan and Monterey Institute for Technology and Education.

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saviourw83
Posted 7 years ago. Direct link to saviourw83's post “can a coefficient number ...”
can a coefficient number be negative
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skeptic
Posted 8 years ago. Direct link to skeptic's post “I can see at 0:57 that yo...”
I can see at
0:57
that you have put a video of multiplying monomials, but I wanted a video of dividing monomials. Is there such a video somewhere on this website?
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- xk204273
  Posted 3 years ago. Direct link to xk204273's post “same here specifically di...”
  same here specifically dividing monomials by binomials
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Laiya_queen13
Posted 5 years ago. Direct link to Laiya_queen13's post “Is there a video explaini...”
Is there a video explaining what polynomials, monomials, and binomials are?
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(1 vote)
Answer
- Kim Seidel
  Posted 5 years ago. Direct link to Kim Seidel's post “Those are covered in the ...”
  Those are covered in the intro to polynomials section: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/introduction-to-polynomials/v/polynomials-intro
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Lisa Rounds
Posted 5 years ago. Direct link to Lisa Rounds's post “Can't the area also be fo...”
Can't the area also be founds by adding 4xy+4xy+2y+2y, which = 8xy+4y? Can someone show me how this is = to 8xy^2? Thanks
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(1 vote)
Answer
- Kim Seidel
  Posted 5 years ago. Direct link to Kim Seidel's post “Area = Length * Width You...”
  Area = Length * Width
  You are finding the perimeter = 2(length) + 2(width).
  They are not the same.
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  (2 votes)
Preston
Posted 6 years ago. Direct link to Preston's post “Is there a video that hel...”
Is there a video that helps with binomials,monomials,polynomials?
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(1 vote)
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- Benjamin Clements
  Posted 6 years ago. Direct link to Benjamin Clements's post “There's an entire set of ...”
  There's an entire set of videos https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions , without a more specific question it's going to be hard to give a more specific answer...
  Comment on Benjamin Clements's post “There's an entire set of ...”
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Amydale123456
Posted 8 years ago. Direct link to Amydale123456's post “How do u multiply and div...”
How do u multiply and divide -48y3 and -8y?
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- skeptic
  Posted 7 years ago. Direct link to skeptic's post “If you mean -48y cubed, y...”
  If you mean -48y cubed, you should type it like this: -48y^3. And multiplying it is simple, -8y is just like saying -8y^1. So really, you are just adding the exponents, 1 and 3 to get four. And 48 times 8 is equal to 384. So when you multiply it, the answer is 384y^4. To divide, you just subtract 1 from 3, and divide 48 by 8 to get 6y^2. Hope this helped.
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Treanna Frencha
Posted 11 years ago. Direct link to Treanna Frencha's post “What exactly is the term ...”
What exactly is the term that is both behind 4 and 2?
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- Mikkel Nielsen
  Posted 11 years ago. Direct link to Mikkel Nielsen's post “They are not terms but fa...”
  They are not terms but factors (something you multiply with).
  You use letters instead of numbers to indicate that it is a variable. The value of x and y could be any number (in this case they should be positive since sidelengths are positive)
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  (3 votes)
kaitlyn mccall
Posted 9 years ago. Direct link to kaitlyn mccall's post “How do I get rid of negat...”
How do I get rid of negative exponenants in dividing monomials
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(1 vote)
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- Stanley
  Posted 9 years ago. Direct link to Stanley's post “Negative exponents, remem...”
  Negative exponents, remember, mean 1/whatever the rest is. You can "flip" the expression to the other part of the fraction and make it a positive exponent.
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natasha soto
Posted 10 years ago. Direct link to natasha soto's post “How do u divide the monom...”
How do u divide the monomials if it has negative exponents
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- Ritika
  Posted 10 years ago. Direct link to Ritika's post “When you have negative ex...”
  When you have negative exponents, it is the same thing as its reciprocal(or as I like to call it, flipping it). When you divide your exponents, you subtract (to be specific, you subtract the divisor's [bottom one] exponent from the dividend's [top one] exponent. Just say if you don't understand, okay?
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Alex Heikkila
Posted 8 years ago. Direct link to Alex Heikkila's post “He put the width where th...”
He put the width where the length should be, and he placed the length where the width should be in the beginning.
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(1 vote)
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- Elaine Wei
  Posted 8 years ago. Direct link to Elaine Wei's post “Yeah, that's true, but it...”
  Yeah, that's true, but it doesn't matter where he puts it, he still gets the same answer,
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  (2 votes)

Video transcript

Express the area of a rectangle with length 4xy and width 2y as a monomial. Monomial just means just one term. So let's think about a rectangle. So let me draw a rectangle here. And they're telling us that the length is 4xy and they're telling us that the width is 2y. And just as a bit of a refresher, we know the area of a rectangle is just the width times the length, or the height times the width, or however you want to view it-- just the product of its two dimensions. So the area of this rectangle, the area is going to be equal to this length, 4xy times the width times 2y. We can simplify this. We have a 4 times a 2. Whenever you're just taking a product of a bunch of things you can switch the order however you like, as long as it's all multiplication. So 4 times 2, that gives us 8. Then we have this x sitting here. That is the only x we have there, so it's 8 times x. And then we have a y here. We could view that as y to the first. And then we have another y there. We could view that as y to the first. So y times y. You could view that as y squared. Or you could say look, y to the first times y to the first-- same base, add the two exponents-- 1 plus 1 is 2. So it's 8xy squared. This y squared covers both that y and that y over there. And we're done. We've expressed the area of this rectangle as a monomial.