인수분해

For the following exercises, consider this scenario:

Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains in one of the city’s parks. The park is a rectangle with an area of $98{x}^{2}+105x-27$ m², as shown in the figure below. The length and width of the park are perfect factors of the area.

At the northwest corner of the park, the city is going to install a fountain. The area of the base of the fountain is $9{x}^{2}-25 {\text{m}}^{2}.$ Factor the area to find the lengths of the sides of the fountain.