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### Course: Algebra 2>Unit 3

Lesson 1: Factoring monomials

# Introduction to factoring higher degree monomials

Factoring monomials involves breaking down a single term into the product of other terms. This video explores how to factor monomials, like 6x to the 7th power, into simpler parts. It also introduces the concept of prime factorization, which is useful for factoring higher degree expressions.

## Want to join the conversation?

• If you had, for example, something like x^2+6x+9, couldn't you factor it to (x+3)^2? Is it something like that? Thanks!
• Your equation was the one Sal used, but you only added a nine to it. Still, you are right.

(Usually I would add a "Hope that helps!" right here, but that is not needed here.)
• he said we've been factoring for years
I just learned math from scratch in 1 month
• Were you living under a rock?
• What is an analog, as Sal refers to it in the video? Analog was mentioned at , but I think it was mentioned again later in the video.
• Two things are analogs if they're comparable or similar to each other. It's related to the word 'analogy'.
• If you had, for example, something like x^2+6x+9, couldn't you factor it to (x+3)^2? Is it something like that? Thanks!
• You certainly could.
Since a^2+2ab+b^2=(a+b)^2, (a=x, b=3), then x^2+6x+9 can be factored as (x+3)^2.
• Sal said 'higher order expressions' at .
Did he just make a mistake and intended to say 'higher degree expressions'?
If not, what does 'higher order expressions' mean?
• It is simply another way to refer to higher degree expressions.
it's basically just a synonym of it.
Now if you'll excuse me I have some poems to write...

• I alredy did all this stuff. but made an 80 on the unit test so my mom is mkin me redo it all
• I am learning these stuff, hope i get atleast a 90
• if you have different base with exponents do you add the exponents or multiply them,
an over all question
thanks
(1 vote)
• actually they do simplify with different exponents(sometimes) to know those ways go through the rest of the unit.
• What is an analogue? Sal says it at .
(1 vote)
• There are 2 definitions
1. Using an electronic system that uses continuously changing physical quantities to measure or store data.
2. (Used about a clock or watch) showing information using hands that move around a dial.
(1 vote)
• Side question, I am learning about factoring nested fractions, is there anything that can better explain this process here? The nested fractions section is pretty bare. I don't know where to go other than my textbook and its fairly basic.
(1 vote)