Polynomial's division

Algebra Level 3

When a polynomial \(f(x)\) is divided by \((x-1)\) and \((x+5)\), the remainders are \(-6\) and \(6\) respectively. Let \(r(x)\) be the remainder when \(f(x)\) is divided by \(x^2+4x-5\).

Find the value of \(r(-2)\).