If f(x) and g(x) are polynomials such that f(x) + g(x) = -2 + x, then what is g(x) if f(x) = x^8 - 2x^3 + 2?
f(x) + g( x) = -2 + x
g(x) = -2 + x - f(x)
g(x) = ( -2 + x ) - ( x^8 -2x^3 + 2)
g(x) = -2 + x - x^8 + 2x^3 - 2
g(x) = -x^8 + 2x^3 + x - 4
