It will help you factor polynomials
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Reverse-distribute the largest number that evenly divides all coefficients and the smallest degree of each variable.
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Is there a Greastest Common Factor amongst all the terms?
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Are there four terms?
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Use Factoring by Grouping (section 6.1)
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Repeat at step 1 for each factor.
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NO
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Are there three terms?
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Is the lead coeffiecient 1?
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Do "reverse FOIL". find the factors of the last term that add to the middle term.
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NO
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NO
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Are each A and B a square?
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Is it a difference?
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Are there two terms?
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Do either "reverse FOIL" factors of the outside that cross to add to the middle, OR Tri by Grouping.
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Repeat at step 1 for each factor.
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YES
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NO
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Factors are (A+B)(A-B)
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The polynomial is prime.
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Repeat at step 1 for each factor.
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Repeat at step 1 for each factor.
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