Could you please help me factor the trinomial.

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  1. s^2-7s+12

    Since the coefficient of s^2 is 1, the factors are of the form (s+/-?)(s+/-?)

    What two numbers have a sum of 7 and a product of 12?

    Clearly, 3 and 4.

    SInce the sum is -7 and the product is +12, the only possibility is (s - 3)(s - 4)

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