Question

Just a repost

Let f(x) be a quadratic function such that f(0) = -8 and integral of [f(x) /((x^2)(x+7)^5) dx is a rational function. Determine the value of f'(0). I got f(x) = A(x+7)^5+D(x+7)^3(x^2) + E(x+7)^2(x^2)+F(x+7)(x^2)+Gx^2 since f(0) = -8, A = -8/(7)^5
Now I am stuck