[SOLVED] Linear transformation - adding and subtracting? 1. The problem statement, all variables and given/known data Suppose T : P2 -> P2 is a linear transformation satisfying T(3 − x + 4x^2) = 1 + x − x^2 and T(2 − 3x + 2x^2) = 7 + 3x + 2x^2. Find T(7x + 2x^2). 3. The attempt at a solution First of all, it's linear. To find T(2x^2), I can say -x^2-2x^2 = -3x^2 = T(2x^2)? And similarily for T(7x)?