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SMO 2017 Junior Round 1 Question 32

SMO · SMO 2017 Junior Round 1

Question 32

Find the largest possible value of $m$ such that the polynomial $x^2+(2m-1)x+(m-6)$ has two real roots $x_1$ and $x_2$ satisfying $x_1\le-1$ and $x_2\ge1$.