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]

Hello, J. Mont-Rios!


Find 3 factorizations for each monomial: \,6x^3
Just "un-multiply" the expression . . .

\;\;\;6\cdot x^3
\;\;\;2\cdot3\cdot x^3
\;\;\;2\cdot3\cdot x\cdot x^2
\;\;\;2\cdot3x\cdot x^2
\;\;\;2\cdot3x^2\cdot x
\;\;\;2x\cdot 3\cdot x\cdot x
\;\;\;2x\cdot 3x\cdot x
\;\;\;2\cdot3\cdot x\cdot x\cdot x

Get the idea?