Answer
$$3x+8+\frac{-4x+1}{x^2+x}$$
Work Step by Step
Dividing the two polynomials using long division, we find:
$$\frac{3x^3+11x^2+4x+1}{x^2+x} \\ 3x+\frac{8x^2+4x+1}{x^2+x} \\ 3x+8+\frac{-4x+1}{x^2+x}$$
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