Question

Find the kernel of the transformation
T:P^3 given by T(at^3+bt^2+ct+d)=6at+2b

Answer 1

The kernel is the set of polynomials S such that Ts=0 for all s in S.

Answer 2

The same applies for all linear transformation.

Answer 3

which means the kernel is all constants?

Answer 4

Constants as in constant polynomials?

Answer 5

maybe my interpretation on finding the kernel is wrong but heres how i understand it as;

Answer 6

I believe the kernel should be all linear polynomials