I have expanded the first equation by dividing the numerator and denominator of the rational expression by x^2 ... I have gotten so far:

(8 / x^2) • (x^8 / x^2) - (11 / x^2) • (x^4 / x^2) + (4 / x^2)

__________________________________________________ ____

(c / x^2) • (x^n / x^2) - (8 / x^2) • (x^2 / x^2) + (19 / x^2)

I'm not sure how to solve for c and n at this point!