Question: Define a rational function over the reals by the formula: x3+x2+4 x = f() 2x28 a. Use polynomial long division to express the formula for


Define a rational function over the reals by the formula: x3+x2+4 x = f() 2x28 a. Use polynomial long division to express the formula for f(x) in the form p(x) + %, where p(x), r(x) and q(x) are polynomials. Simplify your expressions for r(x) and q(x) as far as possible by cancelling common factors. 1206) = r(X) = 6106) = b. Use your answer to a. to find a formula for f'(x): f'(X)= c. Use your answer to b. to find a formula for f\" (x): f"(X) =
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