the graph of the function f(x)=ax^2+bx+c is given below could the factor of f(x) be ( x + 2) (x - 3)?

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?