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Factoring– this method is helpful in some cases to avoid the work of graphing, completing the square, or using the quadratic formula.Also, the graph will not intersect the x-axis if the solutions are complex (in the case of a negative discriminant). The only drawback is that it can be difficult to find exact values of x.
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If you graph the quadratic function f(x) = ax 2 + bx + c, you can find out where it intersects the x-axis.
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Click on "Solve Similar" button to see more examples.Īs we have seen, quadratic equations of the form Let’s see how our math solver solves this and similar problems. We add -3 to both sides to obtain 0 on the right-hand side.Ĭonsequently this method of solution will apply to any degree equation as long as we are able to factor the equation into linear terms. It is important to note that the above reasoning applies only when the right-hand side is zero no other real number will do.Įxample 1. This property is the key to solving quadratic equations by the method of factoring. We recall from Chapter 1 the important fact that if A and B are real numbers and 6.6 Solution of ax^2 + bx + c = 0 by Factoring