Suppose f and g are functions with the following properties:
ƒ(2) = g(2) = 0, ƒ'(2) = ƒ"(2) = 2, g′(2) = g″ (2) = −1.
If the second degree Taylor polynomial of y = f(x)g(x) about
the point x = 2 is given by
ao + a₁ (x − 2) + a₂(x − 2)²