Question

If f(x) = 1 + 3x − 5x^2 + 4x^3 + 2x^4, which of the following are true statements?

The Taylor polynomial of degree 6 about x = 3 for f(x) is equal to f(x).
The remainder term R5(x) for f(x) is equal to zero.
The remainder term R3(x) for f(x) is equal to zero.