1 - x3 = (1 - x)(1 + x + x2) So the roots are 1 (the root of 1 - x) and [-1 +/- sqrt(-3)]/2 (the roots of x2 + x + 1, via the quadratic formula. Note: Sqrt means "square root", and +/- means "plus-or-minus". This site has no easy access to those symbols.
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(x - 1)(x^2 + x + 1)
x^3-x = x(x^2-1) = x(x+1)(x-1)
Factor out the GCF and get X(X2-X+1).
The roots of 1 - x3 are 1 - x and 1 + x + x2, by application of the difference-of-cubes formula.
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