factoring polynomials: 6x^3

[J. Mont-Rios]

find 3 factorizations for each monomial

6x^3 :roll:

 

[tkhunny]

A Prime Factorization is always a good place to start. Once you have that, just pick any groups of prime factors that strike you.

 

[soroban]

Re: factoring polynomials

Hello, J. Mont-Rios!

Find 3 factorizations for each monomial: \(\displaystyle \,6x^3\)

Just "un-multiply" the expression . . .

\(\displaystyle \;\;\;6\cdot x^3\)
\(\displaystyle \;\;\;2\cdot3\cdot x^3\)
\(\displaystyle \;\;\;2\cdot3\cdot x\cdot x^2\)
\(\displaystyle \;\;\;2\cdot3x\cdot x^2\)
\(\displaystyle \;\;\;2\cdot3x^2\cdot x\)
\(\displaystyle \;\;\;2x\cdot 3\cdot x\cdot x\)
\(\displaystyle \;\;\;2x\cdot 3x\cdot x\)
\(\displaystyle \;\;\;2\cdot3\cdot x\cdot x\cdot x\)

Get the idea?