Suppose the polynomial
\(f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_2x^2 + a_1x + a_0\) has integer coefficients, and its roots are distinct integers. Given that \(a_n=2 \) and \(a_0=66 \), what is the least possible value of \(|a_{n-1}|\)?
The least possible value of |a_{n - 1}| is 26, given by the polynomial 2x^3 - 26x^2 + 38x + 66 = 2(x + 1)(x - 11)(x - 3).