Solving Quadratic Equations with Square Roots

A quadratic function that has zeros $p$ and $q$ can be written as $y=a(x-p)(x-q).$ With this in mind, we can write a quadratic function with zeros $8$ and $11.$ $$\begin{array}{c}y=a(x-8)(x-11)\end{array}$$ We want to write the function in standard form. For simplicity we will set the leading coefficient, $a=1.$ Let's substitute $1$ for $a$ in $y=a(x-8)(x-11),$ and simplify.