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### Course: Algebra 1>Unit 13

Lesson 1: Multiplying monomials by polynomials

# Multiply monomials by polynomials: Area model

We can use an area model to multiply a polynomial by a single term. Created by Sal Khan.

## Want to join the conversation?

• At Sal says that 2x times 3x is equal to 6x^2. The reason why he put the ^2 is because he is solving for the area right? if thats true then how come 2x times 4 isnt equal to 8x^2? Please let me know if im wrong
• Think about it: 2x * 3x can be rewritten as 2 * 3 * x * x.

This becomes 6x^2. 2x * 4 can be rewritten as 2 * 4 * x. This becomes 8x. Hope this helps!
• yo yall trying to play some 2k21 rq
• dis leson makky myy bwain hurty
• So true op
• how did 3x multiplied by 2x become 6x^2?
• Remember: `3x` means `3*x` and `2x` means `2*x`. When multiplying, pair up the numbers and letters and multiply within those.
`3x*2x` or `3*x*2*x = 3*2*x*x = 6*x^2` or `6x^2`.
So yeah! With more practice, you can learn to do this in your head :)
• the area in the first example is -9.16666666666+3.9965I
it's a negative number !?
• Where did you get that number? Also, the rules of polynomial is that the exponents should not be negative.
(1 vote)
• At , are we basically adding up all of the areas? Like what exactly is going on T_T
• You solve for each individual section and put them in an equation, but don't solve. Comment if this doesn't make sense
• I cannot figure it out. What is the sum of 6x2+8x? what is than the outcome? thank in advance
• You'll see a lot in algebra that often times you won't see any sum. This is one of such scenarios
• What is the difference between a trinomial and a polynomial?