Answer:
[tex]-x^{4}+8x^{3}-17x^{2} +16\\\\=-x^{4}+4x^{3}+4x^{3}-16x^{2} -x^{2} +16\\\\=-x^{3}(x-4)+4x^{2}(x-4)-(x-4)(x+4)\\\\\\=(-x^{3}+4x^{2}-x-4)(x-4)\\\\ =>\frac{-x^{4}+8x^{3}-17x^{2} +16}{x-4}= (-x^{3}+4x^{2}-x-4)+\frac{0}{x-4}[/tex]
Step-by-step explanation:
