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### Course: Algebra 2>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.
• 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.
• Why do we have to learn this different -nomials? Like poly, mono, tri, bi, etc. what is the use if we don’t use this irl? Like we’ll forget these things since we aren’t gonna use this in real life.
(1 vote)
• Yes, you won’t use it in everyday life, but if you go into an engineering or math heavy field, these things are need-to-know. Schools also need STEM programs, including Math. You could say the same about chemistry or biology.
• 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 :)
• 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.
• if you have a variable like 3x^2 and a constant such as 4, from what i know, you aren't supposed to multiply them together due to them both not being like terms. But in this video he does. Am I missing something or are you allowed to multiply a constant with a variable?
• We can't add unlike terms together, but we can multiply them together.

3𝑥² + 4 is impossible to do something about, it's already simplified as far as possible.

3𝑥²⋅4, however, can be written as 12𝑥².
• Do I add the variables after solving the equation.
Ex. 24a^4+36a^3+12a^2