Factoring is a process of turning a sum or difference into a product. If the first term of the trinomial is x squared, then we know that the first terms in each factor must be x. If both the "b" and "c" terms are positive, then we know that each binomial factor must be a sum. We look for integers that multiply to the "c" term and add to the "b" term, and check our work using FOIL or some other method for multiplying the binoimals.
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