# Math Help - Find ABC using Derivative of function

1. ## Find ABC using Derivative of function

The function $f(x)=x^3+ax^2+bx+c$ has a relative maximum at (-3, 25) and a point of inflection at x = -1. Find a, b, and c.

2. Here's a hint

$f(x)=x^3+ax^2+bx+c$ sub in (x,y)= (-3,25)

$f'(x)=3x^2+2ax+b$ sub in (x, f'(x))= (-3,0)

$f'(x)=3x^2+2ax+b$ sub in (x, f'(x))=(-1,0)

This should give you a system to solve.