1. The problem statement, all variables and given/known data The condition that [itex]x^4+ax^3+bx^2+cx+d [/itex] is a perfect square, is 2. Relevant equations 3. The attempt at a solution If the above polynomial will be a perfect square then it can be represented as [itex](x-\alpha)^2(x-\beta)^2[/itex] where α and β are the roots of it.This means that two roots of it will be identical. Am I correct in my assumption?