Question: Define a rational function over the reals by the formula: ++4 22 8 where p(a), r(a) and q(z) are polynomials. Simplify your expressions for

Define a rational function over the reals by the formula: ++4 22

Define a rational function over the reals by the formula: ++4 22 8 where p(a), r(a) and q(z) are polynomials. Simplify your expressions for r(z) and f(x) = r(a) a. Use polynomial long division to express the formula for f(a) in the form p(x) + q(z) as far as possible by cancelling common factors. g(x) p(a) = r(x) = g(x)= 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" (a):

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