Answer
$4x^2+5x+2+\frac{9}{x-1} $
Work Step by Step
Dividing the two polynomials using long division, we find:
$$\frac{4x^3+4x^2-3x+7}{x-1} \\ 4x^2+\frac{5x^2-3x+7}{x-1} \\ 4x^2+5x+\frac{2x-1}{x-1} \\ 4x^2+5x+2+\frac{9}{x-1} $$
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