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A clear and concise guide on factoring trinomials, emphasizing the importance of finding the greatest common factor (gcf) first. The document also introduces the table method as an efficient and self-checking alternative to the trial-and-error method. Remember, always check your answers by multiplying them back out.
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ALWAYS ALWAYS check for the GCF first. The order to do factoring:
There are lots of different ways a trinomial can look. The hot tip is three terms, and thepowers go down 2, 1, nothing. Everything else in this section is a variation on the 2, 1, nothing theme. ALWAYS try to make your life easier by finding a common factor. This is especially true on certain exercises. They aren’t done if they don’t have the GCF out! I like the table method better than the trial-and-error method, because it ORGANIZES the trial and error (you know you haven’t missed anything) and it SELF-CHECKS. (Watch the OLL on that.) If you want to see some other shortcuts using factoring trees, view the OLL. ALWAYS check your answers by multiplying them back out.