# How do you find values in a cubed polynomial?

I'm studying for the accuplacer exam and I can't wrap my head around how to find the values in a cubed polynomial.

The example i'm having trouble with is: $27x^3 = 1$

The answers are $1/3$ and $(-1 \pm i \sqrt3 ) / 6$

I have absolutely NO clue how to solve this problem.. other than at some point I obviously have to use the quadratic formula. Thanks for any help you can offer.

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$27x^3-1^3=(3x)^3-1^3=(3x-1)(9x^2+3x+1)$
@simon $27=3^3$ –  pedja Apr 16 '12 at 5:40