1. The problem statement, all variables and given/known data If the polynomial P(x) = x^2+ax+1 is a factor of T(x)=2x^3-16x+b, find a, b 2. Relevant equations 3. The attempt at a solution Let (px+q) be a factor of P(x), p can possibly be 1 and so can q, according to factor theorem, Hence, factors (x+1) or (x-1) P(1) = 0, substituting I got -2 as a and P(-1) =0 , I got 2 as a If either (x+1) or (x-1) is a factor of P(x), it has to be a factor of T(x), T(1) = 0, I got 14 as b in both cases. But the correct answer is a=3,-3 and b=-6,6 respectively.