Heres a good little trick thats proven to work.
Think of a number you can put into that equation for x and get it to equal 0. 1 is the first number you can think of for this since 1^3-1 = 1-1 = 0.
Then a factor of that polynomial is (x - 1)
This is called the factor theorem, generally for any polynomial f(x) if f(a) = 0 then (x-a) is a factor.
Your final answer is (x-1)(x^2 + x +1) and the latter doesnt factor down any more as it has no real roots.
Hope this helps.
Think of a number you can put into that equation for x and get it to equal 0. 1 is the first number you can think of for this since 1^3-1 = 1-1 = 0.
Then a factor of that polynomial is (x - 1)
This is called the factor theorem, generally for any polynomial f(x) if f(a) = 0 then (x-a) is a factor.
Your final answer is (x-1)(x^2 + x +1) and the latter doesnt factor down any more as it has no real roots.
Hope this helps.