find 3 factorizations for each monomial 6x^3 :roll:
J J. Mont-Rios New member Joined Apr 5, 2006 Messages 9 May 17, 2006 #1 find 3 factorizations for each monomial 6x^3 :roll:
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,339 May 17, 2006 #2 A Prime Factorization is always a good place to start. Once you have that, just pick any groups of prime factors that strike you.
A Prime Factorization is always a good place to start. Once you have that, just pick any groups of prime factors that strike you.
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 May 17, 2006 #3 Re: factoring polynomials Hello, J. Mont-Rios! Find 3 factorizations for each monomial: 6x3\displaystyle \,6x^36x3 Click to expand... Just "un-multiply" the expression . . . 6⋅x3\displaystyle \;\;\;6\cdot x^36⋅x3 2⋅3⋅x3\displaystyle \;\;\;2\cdot3\cdot x^32⋅3⋅x3 2⋅3⋅x⋅x2\displaystyle \;\;\;2\cdot3\cdot x\cdot x^22⋅3⋅x⋅x2 2⋅3x⋅x2\displaystyle \;\;\;2\cdot3x\cdot x^22⋅3x⋅x2 2⋅3x2⋅x\displaystyle \;\;\;2\cdot3x^2\cdot x2⋅3x2⋅x 2x⋅3⋅x⋅x\displaystyle \;\;\;2x\cdot 3\cdot x\cdot x2x⋅3⋅x⋅x 2x⋅3x⋅x\displaystyle \;\;\;2x\cdot 3x\cdot x2x⋅3x⋅x 2⋅3⋅x⋅x⋅x\displaystyle \;\;\;2\cdot3\cdot x\cdot x\cdot x2⋅3⋅x⋅x⋅x Get the idea?
Re: factoring polynomials Hello, J. Mont-Rios! Find 3 factorizations for each monomial: 6x3\displaystyle \,6x^36x3 Click to expand... Just "un-multiply" the expression . . . 6⋅x3\displaystyle \;\;\;6\cdot x^36⋅x3 2⋅3⋅x3\displaystyle \;\;\;2\cdot3\cdot x^32⋅3⋅x3 2⋅3⋅x⋅x2\displaystyle \;\;\;2\cdot3\cdot x\cdot x^22⋅3⋅x⋅x2 2⋅3x⋅x2\displaystyle \;\;\;2\cdot3x\cdot x^22⋅3x⋅x2 2⋅3x2⋅x\displaystyle \;\;\;2\cdot3x^2\cdot x2⋅3x2⋅x 2x⋅3⋅x⋅x\displaystyle \;\;\;2x\cdot 3\cdot x\cdot x2x⋅3⋅x⋅x 2x⋅3x⋅x\displaystyle \;\;\;2x\cdot 3x\cdot x2x⋅3x⋅x 2⋅3⋅x⋅x⋅x\displaystyle \;\;\;2\cdot3\cdot x\cdot x\cdot x2⋅3⋅x⋅x⋅x Get the idea?
