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1. conolder a cubic polynomial 4 = f( x) = x3+ px+ 9 with real coefficients pig and discriminant D= - ( 2797+ 4 p3

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1. conolder a cubic polynomial 4 = f( x) = x3+ px+ 9 with real coefficients pig and discriminant D= - ( 2797+ 4 p3 ). ( 4 = f( x ) X1 X2 ( a) Fuid the critical points xy + x of f(x ). ( 6 ) Express the product f(x, ). f(x) in terms of D. c ) If DO what can be said about the roads of the polynomial f (x ) ? why

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