Question about Equivalent Expressions


Originais Teachy

Equivalent Expressions


(Originais Teachy 2023) - Question Medium of Math

Imagine that you are helping your friend organize his book collection on the shelf and he wants to divide the books into groups of the same size, representing the number of books with the quadratic expression 'x² - 7x + 10'. To help him determine the number of groups and the number of books in each group, do the following: a) Factor the quadratic expression using the grouping factoring technique, showing all the steps; b) Describe how this factoring can be used to determine how many groups of books can be formed and the number of books in each of these groups; c) Assuming that your friend wants to increase the number of groups to a larger quantity than the one found in b), indicate the necessary modification in the original quadratic expression and in its factoring.


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