It is possible to construct geometric models for

Chapter 6, Problem 6.1.350

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It is possible to construct geometric models for factorizations so that you can see the factoring. This idea is developed in Exercises 9596. Consider the following figure. (a) (b) a. Write a trinomial that expresses the sum of the areas of the six rectangular pieces shown in figure (a). b. Express the area of the large rectangle in figure (b) as the product of two binomials. c. Are the pieces in figures (a) and (b) the same? Set the expressions that you wrote in parts (a) and (b) equal to each other. What factorization is illustrated?

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