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Advanced Factoring Trinomials

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Students learn that a trinomial in the form x^2 + bx + c (where c is negative), such as x^2 + 6x – 27, can be factored as the product of two binomials, in this case (x + 9)(x – 3). The first term in each binomial comes from the factors of x^2, x and x. The second term in each binomial comes from the factors of the constant term, –27, that add to the coefficient of the middle term, +6, which in this case are +9 and –3.

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