Find the values of \( m \) and \( n \), if \( (x-m) \) and \( (x-n) \) are the factors of the ex...

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Find the values of \( m \) and \( n \), if \( (x-m) \) and \( (x-n) \) are the factors of the expression \( x^{2}+m x-n \).
(a) \( m=-1, n=-2 \)
(b) \( m=0, n=1 \)
(c) \( m=\frac{-1}{2}, n=\frac{1}{2} \)
(d) \( m=-1, n=2 \)
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