(See Solution) Express the improper rational function as the sum of a polynomial and a proper rational function: (3 x^ 4quad - x^ 3quad - 33 x^ 2quad -
Question: Express the improper rational function as the sum of a polynomial and a proper rational function: \(\frac{3\,{{x}^{\,4}}\quad -\quad {{x}^{\,3}}\quad -\quad 33\,{{x}^{\,2}}\quad -\quad 25\,x\quad -\quad 61}{{{x}^{\,2}}\quad -\quad x\quad -\quad 12}\)
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