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Factoring 6x^3-6=?

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3 Answers

6x^3 -6 factors in two painless steps
 
first whenever we are going to factor always look for a common factor. we can factor out a 6, so we have
 
6(x^3 -1)
 
the next step actually has a little pain involved...you have to memorize a^3 -b^3= (a-b)(a^2 + 2ab +b^2)
 
Here a=x and b=1
 
so x^3 -1 turns into (x-1)(x^2 +2x+1)
 
remember we took out the 6 so our final answer is
6(x-1)(x^2 +2x+1)
 
If you have any more questions please call me
Sean Budge
(772) 418 5528
(any tutoring MUST be through WyzAnt)

Another option is to use the cubic formula (like the quadratic formula, but for cases where you have a third degree polynomial like this one).

Google "cubic formula" and you'll find a lot of examples.

Good luck with your test!

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