Robin and Dimitri want to build a pool in their backyard. The length and width of the pool can be represented by the equation feet. What is the area of Robin and Dimitri's pool? You must show your work, and include your units of measurement.

Solution
The given function is
[tex]f(x)=(x-3)(x+4)[/tex]The area is given as:
[tex]\begin{gathered} f(x)=x(x+4)-3(x+4) \\ f(x)=x^2+4x-3x-12 \\ f(x)=x^2+x-12 \end{gathered}[/tex]Therefore the area is
[tex]f(x)=x^{2}+x-12[/tex]