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Determine the real values of a ,b and c for the quadratic function f(x) =ax^2+bx+c, a not equal to 0 that satisfy the conditions f(0)=0,

Determine the real values of a ,b and c for the quadratic function f(x) =ax^2+bx+c, a not equal to 0

that satisfy the conditions f(0)=0, lim(x->1) f(x) =5

and limt (x->-2) f(x) =8

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