Answer
$$2x^2-\frac{13}{2}+\frac{9x-31}{2x^2-2}$$
Work Step by Step
Dividing using long division, we find:
$$\frac{4x^4-17x^2+9x-18}{2x^2-2} \\ 2x^2+\frac{-13x^2+9x-18}{2x^2-2} \\ 2x^2-\frac{13}{2}+\frac{9x-31}{2x^2-2}$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.