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You would most likely factor out -1 from a trinomial when the leading coefficient is negative or when doing so simplifies the expression. For example, if a trinomial is written as (-x^2 + 3x - 2), factoring out -1 would make it easier to identify common factors or rearrange the expression into a more standard form, like (x^2 - 3x + 2). This can also help in solving or graphing the polynomial more effectively.

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