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The quadratic  polynomial \(p(x) = x^2 + \left(m - 2\right)x + n\) satisfies \(p(3)\) and \(p(-1)\). If so,  find the value of \(m\) and \(n\).
 
Answer:
 
The value of \(m\) \(=\)
 
The value of \(n\) \(=\)