Answer
$$5x^2-12x+37+\frac{-122x+109}{x^2+2x-4}$$
Work Step by Step
Dividing the two polynomials using long division, we find:
$$5x^2+\frac{-12x^3+13x^2-39}{x^2+2x-4} \\ 5x^2-12x+\frac{37x^2-48x-39}{x^2+2x-4} \\ 5x^2-12x+37+\frac{-122x+109}{x^2+2x-4}$$