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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 Â· (x - c)
Â· (x - d) = 0.
If you divide both sides of this equation by the number a you will get:
(x - c) Â· (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