A group of neighbors are working on their plans for a community garden. They started with square plots, but some of the families found that their garden was too big for them to care for, and others found that they wanted a bigger garden so they could produce more vegetables. Each family can adjust their plot as they choose. Each of the functions below represents the area of a new garden plot for one of the families. A(x) is the area of the new garden in square feet and represents the previous length of their garden in feet.
1. Area of garden B
A(x)= x2 +8x+7
What is the factored form of garden B?
Factored Form = ___________
2. How do the dimensions of garden B compare to the original garden?
3.Area of garden C
A(x)= x29
What is the factored form of garden C?
Factored Form = ___________
4. How do the dimensions of garden C compare to the original garden?
5. Is the total area of garden C more or less than the area of the original garden?
More
or
Less
6.Please explain your answer to question 5.
7. Area of garden D
A(x)= x213x+36
What is the factored form of garden D?
Factored Form = ___________
8.If the original garden was 12ft 12ft, what are the dimensions of garden D?