Applications of Derivatives

Let a, b ∈ R be such that the function f given by f(x) = ln |x| + bx² + ax, x≠0 has extreme values at x = -1 and x = 2 Statement-1 : f has local maximum at x = -1 and at x = 2. Statement-2 : a = 1/2 and b = -1/4