Question

What does the equation y=(x-3)(x+5) , tell you about the graph of the function?

Answer 1

From the equation $y=(x-3)(x+5)$, we can tell what the roots are right off the bat. The roots of the equation would be the values for $x$ that make the value of $y$ $0$. Using the Zero Product Property, we can get that the roots can be found by solving $x-3=0$ and $x+5=0$. Hence, the roots are $x=3$ and $x=-5$.