If \( l x^{2}+m x+n \) is exactly divisible by \( (x-1) \) and \( (x+1) \) and leaves a remainde...

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If \( l x^{2}+m x+n \) is exactly divisible by \( (x-1) \) and \( (x+1) \) and leaves a remainder 1 when divided by \( x+2 \), then find \( m \) and \( n \).
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