Part A: Consider the cubic polynomial C(x) =*#* -38° +8x+10
1) (a) Find the coordinates of A and B, the stationary points and M, the midpoint of AB.
(b) Find the coordinates of C, the non-stationary point of inflection.
(©) Illustrate the above on a sketch.
2) Repeat the above for C(x) = x2 -1.9.x2 - 12
3) What does this suggest about the relationship between the turning points for a cubic
polynomial and its non-stationary point of inflection?