Suppose the polynomial f(x)=anxn+an−1xn−1+⋯+a2x2+a1x+a0
has integer coefficients, and its roots are distinct integers.
Given that an=2, and a0=66, what is the least possible value of |an−1|?
First of all that's not an answer
Second of all, even the lyrics are wrong...
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).
Got it from https://web2.0calc.com/questions/polynomial-roots. It was already asked. LOL!!