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Math Help - Find ABC using Derivative of function

  1. #1
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    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.
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  2. #2
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    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.
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