There are multiple methods for solving quadratic equations, and most people have a preference. When you get good at factoring, it is usually the quickest method, but the quadratic formula will work every time (even if the polynomial can not be factored.) If you do the quadratic formula and find that your solutions are rational, meaning fractions with no roots, then you could have factored in the first place. If you get roots in your quadratic formula answers, then factoring would not have been possible.
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