hey I have this question due for an assignment for uni in a couple of days, and I dont really know where to start...

Take a function f that is infinitely differentiable at 0.\

- find a degree 1 polynomial p1(x) = a0 + a1x such that

p1(0) = f(0) and p1'(0) = f'(0)

is this polynomial unique? can you find a degree 1 polynomial so p1''(0) = f''(0)?

where do i start with this one? i just dont get the general way which to start this problem...can anyone help?...i only really want a hint on where to go with it, not the answer as well...im new here so i dont get how it all works