I'm preparing for my final exams and I got stuck in a question concerning differentiation:
Let p(x) be a polynomial of degree four whose graph touches the x-axis at the origin and has a horizontal point of inflection at T= (2,2).
Well, I understand that the function must be of the form:
p(x) = ax^4 + bx^3 + cx^2 + dx + e
but how do you know proceed?
I would be very gladful if someone could help me