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## Integrated math 3

### Course: Integrated math 3>Unit 2

Lesson 1: Factoring monomials

# Introduction to factoring higher degree monomials

Just as we can factor 12 as 2⋅6 or as 3⋅4, we can factor monomials like 6x⁷ as 2x³⋅3x⁴ or as x⁶⋅6x. We can also perform prime factorization on a monomial.

## 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
• 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?
(1 vote)
• 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!
• So there are oftentimes melt-iple ways to factor a higher-degree monomial like this

Anyone else hear this? Melt-iple ways?

Or is it just me...

and the empty void...
• What is an analogue? Sal says it at .
(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)
• if you have different base with exponents do you add the exponents or multiply them,
an over all question
thanks
(1 vote)
• Neither. If the exponents are the same, you can multiply the bases and keep the exponents;
aⁿ·bⁿ=(ab)ⁿ.

If the bases are different and the exponents are also different, there is nothing to do. The expression doesn't simplify.
(1 vote)
• 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.
(1 vote)