Question: Let f(x) be a quadratic function ; that is f(x) = ax^2 + bx+ c . Suppose f(0) =1 , and x 2 ( x

Let f(x) be a quadratic function ; that is f(x) = ax^2 + bx+ c . Suppose f(0) =1 , andx2(x+1)3f(x)dx is a rational function . Find the value of b and c , if they exist . If they do not exist , explain why . Hint : Use partial fractions .

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