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Prompt We will do the partial fraction decomposition of but partial fraction decomposition only make sense when the degree of the numerator is less than
Prompt We will do the partial fraction decomposition of but partial fraction decomposition only make sense when the degree of the numerator is less than the degree of the denominator! So please do the following: 1. Perform polynomial long division e to rewrite ( as D (") + Q(2) R(2) where R (a) has a degree less than 2. Basically, rewrite the original function as a polynomial and the remainder over our original quotient / denominator. R(x) 2. Do partial fraction decomposition on the resulting , showing all supporting work - either using my trick or the standard method of creating a system and solving using a previously discussed method. 81 G25 The goal here is to get to the last alternate form Wolfram Alpha gives for this function - but likely in the format: a" - 8x + 49 + + 2 - which is MUCH uglier as far as pre-calculus, but MUCH easier to integrate in Calc 2
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