Question

what is the quadratic equation for 1/2 and -3 root

Answer 1

If a polynomial equation has roots \(x_1\), \(x_2\), ... \(x_n\),
then the polynomial equation is \((x - x_1)(x - x_2)...(x - x_n) =0\)

You have \(x_1 = \dfrac{1}{2}\) and \(x_2 = -3\).