1. The problem statement, all variables and given/known data If the polynomial P(x)=x^4+ax^3+bx^2-8x+1 is a perfect square then find (a+b) 3. The attempt at a solution The first term is a perfect square and so is the last term. that means that th middle terms should have been =2x^2. But it is not so, then how can this be a perfect square?