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SMO 2015 Senior Round 1 Question 10

SMO · SMO 2015 Senior Round 1

Question 10

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 $r(-2)$.
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