Polynomial Rectangles with a common factor

Posted: December 8, 2015 in factoring, math education, polynomial factoring, quadratic, visual math
Tags: , ,
Rectangle with GCF

Students and I worked on factoring a trinomial that had a common factor.  Notice that the common factor need not come out of the product first as is often demonstrated.  In the top example, you see that the common factor means that there are two duplicate rectangles to be considered.  In the bottom left, we showed that there are at least two correct ways to factor correctly.  In the bottom right, we see a student who factored out the 2 at the start. 

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