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Teachers' Lounge Discussion: Factoring trinomials

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From: Martha Kumler

To: Teacher2Teacher Public Discussion
Date: 1998062215:06:13
Subject: Factoring trinomials

Here is a method to factor trinomials with leading coefficient >1 Steps Example 1. Multiply c by a, then drop 6x^2 - x - 12 the leading coefficient x^2 - x - 72 2. Factor the new trinomial (x - 9)(x + 8) 3. Replace the leading coefficient in front of the x in each factor (6x - 9)(6x + 8) 4. Remove and discard all common factors within each parenthesis (2x - 3)(3x + 4) and you will have the factors of the original trinomial Note: If the original problem contains a common factor, factor it out first before following this procedure. Ex: 6x^2 - 20x + 14 2(3x^2 - 10x + 7)

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