Is polynomials the same thing as trinomials?

Trinomials are just one type of polynomial. Specifically they are a polynomial with 3 terms. There are also monomials (1 term) and binomials (2 terms) and other polynomials that have more than 3 terms.

Why are all of the videos have easy math problems? But when I do the math it's a complicated problems

As long as you apply the concept/idea of the video lectures to the exercise, it's the same as any problems. The point is to understand the concept.

If you had an equation: 7x^2 times 3x^2 would the answer be 21x^4 or 21x^2. Would you add the exponents together or not because they are not the same.

If you multiply same bases, you add the exponents, so the first answer (21x^4) is correct. If you add 7x^2 + 3x^2 = 10 x^2. When you say "they are not the same," that is not correct, the coefficients are different, but the bases ("x") are the same.

What is a trinomial? How can it relate to real-world situations?

A trinomial is a polynomial with three terms. Polynomials are the larger category under which you can find monomials, binomials, and trinomials.

s polynomials the same thing as trinomials?

Trinomials are a type of polynomial, specifically a polynomial with three terms. In general, a polynomial can have any number of terms.

Main content

Algebra 2

Course: Algebra 2 > Unit 1

Lesson 4: Multiplying monomials by polynomials

Multiplying monomials by polynomials: area model

Name: Multiplying monomials by polynomials: area model
Uploaded: 2015-11-03T11:55:20Z
Description: Sal expresses the area of a rectangle whose height is 4 and width is x²+3x+2.

CCSS.Math:

HSA.APR.A.1

HSA.APR.A

Google Classroom

Sal expresses the area of a rectangle whose height is 4 and width is x²+3x+2.

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Jacob
Posted 5 years ago. Direct link to Jacob's post “Is polynomials the same t...”
Is polynomials the same thing as trinomials?
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(6 votes)
Answer
- Kim Seidel
  Posted 5 years ago. Direct link to Kim Seidel's post “Trinomials are just one t...”
  Trinomials are just one type of polynomial. Specifically they are a polynomial with 3 terms.
  There are also monomials (1 term) and binomials (2 terms) and other polynomials that have more than 3 terms.
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  (26 votes)
Gracyson
Posted 2 years ago. Direct link to Gracyson's post “Why are all of the videos...”
Why are all of the videos have easy math problems? But when I do the math it's a complicated problem?
Button navigates to signup pageComment on Gracyson's post “Why are all of the videos...”
(11 votes)
Answer
Sophia Olmo
Posted 8 months ago. Direct link to Sophia Olmo's post “this is sooooo confusing ...”
this is sooooo confusing for me
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(4 votes)
Answer
David Chavez
Posted a year ago. Direct link to David Chavez's post “Why are all of the videos...”
Why are all of the videos have easy math problems? But when I do the math it's a complicated problems
Button navigates to signup pageComment on David Chavez's post “Why are all of the videos...”
(2 votes)
Answer
- Borin Sroy
  Posted a year ago. Direct link to Borin Sroy's post “As long as you apply the ...”
  As long as you apply the concept/idea of the video lectures to the exercise, it's the same as any problems. The point is to understand the concept.
  Button navigates to signup page
  (3 votes)
Andrew Pouliot
Posted 5 years ago. Direct link to Andrew Pouliot's post “If you had an equation: 7...”
If you had an equation:
7x^2 times 3x^2 would the answer be 21x^4 or 21x^2.
Would you add the exponents together or not because they are not the same.
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(1 vote)
Answer
- David Severin
  Posted 5 years ago. Direct link to David Severin's post “If you multiply same base...”
  If you multiply same bases, you add the exponents, so the first answer (21x^4) is correct. If you add 7x^2 + 3x^2 = 10 x^2. When you say "they are not the same," that is not correct, the coefficients are different, but the bases ("x") are the same.
  Button navigates to signup page
  (3 votes)
Midnight the wolf
Posted 3 years ago. Direct link to Midnight the wolf's post “What is a trinomial? How ...”
What is a trinomial?
How can it relate to real-world situations?
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(1 vote)
Answer
- ana
  Posted 3 years ago. Direct link to ana's post “A trinomial is a polynomi...”
  A trinomial is a polynomial with three terms. Polynomials are the larger category under which you can find monomials, binomials, and trinomials.
  Button navigates to signup page
  (2 votes)
449164
Posted 2 months ago. Direct link to 449164's post “like I get it but I don’t...”
like I get it but I don’t get it at the same time haha
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(1 vote)
Answer
Fernando, Breighlin Kristoffer; 201178646
Posted 2 years ago. Direct link to Fernando, Breighlin Kristoffer; 201178646's post “Do I add the variables af...”
Do I add the variables after solving the equation.
Ex. 24a^4+36a^3+12a^2
Do i add the variables??
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(1 vote)
Answer
- Kim Seidel
  Posted 2 years ago. Direct link to Kim Seidel's post “Your polynomial is a simp...”
  Your polynomial is a simplified as it can be. You can only add like terms. None of the varialbes match and have matching exponents.
  Hope this helps.
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  (0 votes)
saniyah phillips
Posted 6 years ago. Direct link to saniyah phillips's post “how do you do this i don...”
how do you do this i dont understand
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- Frenchy Starfire (I'm offiline so don't try anything funny XD)
  Posted 5 years ago. Direct link to Frenchy Starfire (I'm offiline so don't try anything funny XD)'s post “Okay so we are going to i...”
  Okay so we are going to imagine a rectangle... The rectangle is going to be split in three sections at the top with three different numbers... Okay so the first side will be a^2 the next number will be 5a and the final multiplying number will just be 4...
  So we should have a^2+5a+4...
  Now on the side of the rectangle we are going to divide by the number 7...
  So we go straight for the first multiplication step...
  7*a^2
  So we see there is no number for us to multiply so the answer to this problem... or this part of the problem would be 7a^2+
  Next is 7*5a...
  here is our first multiplication problem 7*5a is 35
  So we take the 35 and the answer to this step looks like this 35a
  Problem so far...7a^2+35a+
  You would notice that there is no exponent and that is because there is only one a... Now lets say we had 4 a's then we would use exponents to make it look like this...
  35a^4... But there is no need for that kind of math right now...
  now its just 7*4 with no a and that answer is 28...
  So our answer would be 7a^2+35a+28...
  BOOM!! You just simplified the whole rectangle!
  Now was that not easy?
  I hope this helps...
  -Frenchy Starfire
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  (1 vote)
mikmic23
Posted 3 years ago. Direct link to mikmic23's post “s polynomials the same th...”
s polynomials the same thing as trinomials?
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(0 votes)
Answer
- kubleeka
  Posted 3 years ago. Direct link to kubleeka's post “Trinomials are a type of ...”
  Trinomials are a type of polynomial, specifically a polynomial with three terms. In general, a polynomial can have any number of terms.
  Button navigates to signup page
  (2 votes)

Video transcript

- [Voiceover] We're asked to express the area of the entire rectangle below as a trinomial. We have our rectangle here and it's broken up into these three smaller rectangles. And we see for all of these rectangles, the height here is four units and then the widths are expressed in terms, or at least the first two, are expressed in terms of x and then this last one has a width of two. So what's the area of the entire rectangle? I encourage you to pause the video and think about it. What's the area of this blue, this blue, it looks like a square, but let's just call it a rectangle, which all squares are rectangles so that's safe. Well, it's going to be the height times the width. So the area here is going to be the height, which is four, times the width, which is x squared. And then to that, we want to add the area of this, I guess we could say this salmon colored rectangle and well that's going to be the height four times the width 3x. So we could say four times 3x, we could write it like that, but what is 4 times 3x? Well, that's going to be 12x. You have 3x four times, I have 12 xs, so that's going to be 12x. 12x is the area of this salmon colored rectangle. And then, finally, the area of this green rectangle, we actually can figure out it exactly, we don't even have to express it in terms of a variable. Its height is four, its width is two, so the area's going to be four times two, or eight. And we are done.