let w be a solution of the equation x^2 + x + 1=0. Then what is w^10 + w^5 + 3 =?

I don't even know where to start except to use the quadratic formula. to solve for a w. And more so, my w already involves irrational numbers.... (sqrt(-3))

And I heard from a source that the only way to solve this was to convert it to polar form? Then use some theorems? Is that the only way to do it?