The roots of Ax^2+Bx+1 are the same as the roots of (x - 2)(x + 2). What is A+B?
Expanding (x−2)(x+2) gives x2−4. In order to get it into the form Ax2+Bx+1 where the constant term is 1, we can divide the original quadratic by −4 to get −14x2+1, so A+B=−14+0=−14