SOLUTION: The function y = ax^3 + bx^2 + cx + d has a maximum turning point at (−2, 27) and a minimum turning point at (1, 0). Find the values of a, b, c and d.

Algebra ->  Equations -> SOLUTION: The function y = ax^3 + bx^2 + cx + d has a maximum turning point at (−2, 27) and a minimum turning point at (1, 0). Find the values of a, b, c and d.      Log On


   

Question 1182759: The function y = ax^3 + bx^2 + cx + d has a maximum turning point at (−2, 27) and a minimum turning point at (1, 0).
Find the values of a, b, c and d.
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


If is a point on the function



Then



Similarly,



At the turning points, the first derivative must equal zero, so:





and





Solve the 4X4 system for

John

My calculator said it, I believe it, that settles it

From
I > Ø