Calc 1 anyone?

[boycriedwolf619]

I was wondering if someone could point me in the right direction to starting of this problem. It s a cubic function f(x)=ax³+bx²+cx+d and the local maximum point is (2,1) and the local minmum is (-1,-2). I have to find what a, b ,c and d is.

I started off by first getting the derivative of the equation and for f'(x)=3ax²+2bx+c then I plugged in one of the points and from there thats when i get stuck. any good ideas much appreciated