If you have a quadratic, let its 2 roots be <b>p</b> and <b>q</b>.
That means that in factored form, the quadratic is (x - p)(x - q).
(x-p)(x-q) = x^2 -x(q + p) + pq
We don't know what this quadratic's coefficiants are, so let them be a, b, c
Thus getting the quadratic ax^2 + bx + c. This...