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Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties:i) x = -3 is a local maximum of P(x). ii) x = 7 is a local minimum of P(x). iii) P(0) = 0 Answer: P(x)=

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Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties:
i) x = -3 is a local maximum of P(x). 
ii) x = 7 is a local minimum of P(x). 
iii) P(0) = 0 
Answer: P(x)= 

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