There are four basic methods for solving trinomial quadratic equations: graphing, factoring, quadratic formula, and completing the square. This post gives an example of how to complete the square for the three basic species of quadratic equation that it is applied to. The first type has a leading coefficient of 1. The second type has a leading coefficient other than one, which can be reduced to 1 in the second step. The third type has a leading coefficient other than 1, which cannot be reduced in the second step. It takes practice to learn how to complete the square, which is really a back door alternative to using the quadratic formula. Type I: Leading Coefficient = 1Type II: Leading Coefficient Other Than 1, Eliminated in Second StepType III: Leading Coefficient Other Than 1, Eliminated After Second Step
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Mr. Ken Marciel
