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Factoring 6x^3-6=?

I have no clue how to do this problem and I have a math on Tuesday. My teacher is awful.

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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 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)

6x3-6 = 6(x3-1) = 6(x-1)(x2+x+1)

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!