1. The problem statement, all variables and given/known data T(a+bx+cx^2) = [b+c a-c] What is Ker(T) 2. Relevant equations I don't the relevent equation(s). I know that the definition of the kernal of a LT is the set of all vectors that are mapped to 0 by T. 3. The attempt at a solution What I need is a place to start or a hint at a first step.