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^3 + 5x - 8?
f + g = x - 2 ......so
g = x - 2 - f
g = x - 2 - ( x^3 + 5x - 8)
g = x - 2 - x^3 - 5x + 8
g = -x^3 - 4x + 6