Answer:
\(x^{2} +5x-3\)
Step-by-step explanation:
If we divide these two polynomials, we would have:
\(\frac{x^{4}+5x^{3}-2x^{2}+5x-3}{x^{2}+1}=x^{2} +5x-3\)
To do a long division form, we have to divide term by term, like its shown in the image.
Using the image is better that writing it down here, because this doesn't have a format to divide polynomials.
Therefore, the answer is:
\(x^{2} +5x-3\)
