Find the fifth order taylor polynomial for f(x) = 1/x^2 based at x_0 = 1, then find an interval centered at x_0 = 1 in which the approximation error |f(x) - P_5(x)| < 0.01

I found the taylor poly

1 -2(x-1) + 3(x-1)^2 -4(x-1)^3 ... -6(x-1)^5

I don't know how to simply find the approximation. I could try solving for x but that would take way too long.