The function $\displaystyle f(x)=x^3+ax^2+bx+c$ has a relative maximum at (-3, 25) and a point of inflection at x = -1. Find a, b, and c.
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Here's a hint $\displaystyle f(x)=x^3+ax^2+bx+c$ sub in (x,y)= (-3,25) $\displaystyle f'(x)=3x^2+2ax+b$ sub in (x, f'(x))= (-3,0) $\displaystyle f'(x)=3x^2+2ax+b$ sub in (x, f'(x))=(-1,0) This should give you a system to solve.
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