120224 Advanced factoring methods

120224 Advanced factoring methods - Name Honors Algebra 2...

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Name Honors Algebra 2 February 24, 2012 “Advanced factoring methods” page 1 Advanced factoring methods Each of the three factoring methods shown in today’s lesson applies only for a specific kind of polynomial or specific kinds of factors. A. Factoring by grouping (and the equivalent table method) This method applies to cubic-or-higher polynomials that have four terms, and which happen to factor into two two-term factors. It’s not easy to look at a polynomial and know whether or not this method will work, but it’s worth trying whenever you have a four-term polynomial. Example: Factor 20 x 3 + 24 x 2 + 15 x + 18 Solution using “grouping” approach: Consider the four terms as two groups of two terms each. Factor the greatest common factor out of the first group. Do the same for the second group. If the same expression is left over after factoring out in both places, then you can factor again, as shown below.
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