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 $r(-2)$ .

Polynomial's division

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