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Wednesday, October 30, 2013

Special Products - Factoring, 19

Category: Algebra

"Published in Newark, California, USA"

Find the factors for


Solution:

Consider the given equation above


In this type of factoring of a polynomial, we need to group the terms first according to their type of variables. In grouping, usually you have to do the trial and error until you get the desired factors. In this case for the given equation, let's group the first two terms and then another group for the remaining terms as follows



The common factor at the first group is 2x and y at the second group. Take out their common factor in each group, we have



Since the grouped terms are now the same, we can take out their common factor and therefore, the factors of the given equation are