The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. what is the relationship between the values of m and n? explain.

Given trinomial


If factors are (x+m)(x-n), then the expanded form of this expression must be identical to f(x), i.e.


This means that it is necessary that
m-n=b
mn=c
if (x+m) and (x-n) are factors of f(x).

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