If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

## Integrated math 3

### Course: Integrated math 3>Unit 1

Lesson 4: Multiplying monomials by polynomials

# Multiplying monomials by polynomials: area model

Discover how to calculate the area of complex shapes using algebra! By breaking down a rectangle into smaller parts, we can find the total area by multiplying the height and width of each part. This method introduces us to the concept of multiplying monomials by polynomials.

## Want to join the conversation?

• 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 problem?
• The videos give you the way to solve it, and you just use it to solve the harder problems, since it has the same logic.
• 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.
• this is sooooo confusing for me
• 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.
(1 vote)
• 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?
(1 vote)
• A trinomial is a polynomial with three terms. Polynomials are the larger category under which you can find monomials, binomials, and trinomials.
• like I get it but I don’t get it at the same time haha
• You know how to calculate the area of a rectangle, right? It's width times height.
The height in this example would be 4. The width would be all the variables added together. So to calculate the area, the equation would be:
4(x^2 + 3x + 2)
Get rid of the brackets and you'd get:
4x^2 + 12x + 8
Hope this helps :)
• I get it but when I go back to my equation i don't get it like it look's easy but not at the same time.
(1 vote)
• What is a trinomial?
(1 vote)
• A trinomial is an algebraic expression that has three terms. If three monomials are separated by addition or subtraction, then it is a trinomial.

For example,
1 + 2x + 2x^2 or
3 + 8a + 2b
(1 vote)
• Do I add the variables after solving the equation.
Ex. 24a^4+36a^3+12a^2