Q askes: Determine the equation of the quadratic function that passes through (-4,5) if it's zeros are $\displaystyle 2 +\sqrt{3} $ and $\displaystyle 2 - \sqrt{3}$

To get started, I'm thinking of factored form $\displaystyle f(x) = a(0 - \sqrt{3}) (0 +\sqrt{3})$