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Solving Quadratic Equations

How can Factored Form help to solve a quadratic equation?

If you use factored form to express the quadratic part of a quadratic equation, then the quadratic equation will look something like:

a · (x - c) · (x - d) = 0.

If you divide both sides of this equation by the number a you will get:

(x - c) · (x - d) = 0.

The two x-values that satisfy this equation are the x-values x = c and x = d, which are the two numbers that appear in the parentheses of the factored form.

When you are trying to solve a quadratic equation, if you can successfully convert the quadratic part from standard form to factored form, then the solution(s) of the quadratic equation will be the two numbers x = c and x = d that appear in the parentheses of the factored form.

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