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Friday, November 1, 2013

Special Products - Factoring, 21

Category: Algebra

"Published in Newark, California, USA"

Find the factors for 


Solution:

Consider the given equation above


You notice that there are five terms at the given equation, which means that we have to group three terms and then another group for the rest of the terms. If you look at the given equation, the first two terms and the last term will be a perfect trinomial square if you group them. Let's arrange the given equation and group the terms as follows


 



Take out their common factor which is (m - 2n), and therefore, the factors of the given equation are


 

Thursday, October 31, 2013

Special Products - Factoring, 20

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, grouping is needed and we need to group the terms according to their type of variables. In grouping, usually you have to do the trial and error until you get the desired factors. Let's group the first two terms and then another group for the remaining terms as follows



The first group can be factored by the difference of two squares while the other group can be factored by removing of their common factor. Let's factor the grouped terms as follows



The common factor of the above equation is (6x - 5y). Take out their common factor and  therefore, the factors of the given equation are




 

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