I am having lots of trouble understanding how to get the kernel of linear transformations. I get that you basically set it equal to zero and solve.
T: P3 → P2 given by T(p(x)) = p΄΄(x) + p΄(x) + p(0)
The Attempt at a Solution
So P3 = ax^3 + bx^2 + cx +d
then the linear transformation should be
6ax + 2b + 3ax2 + 2bx + c + d
but how do i find ker T?