We have the following division:
for this, we have to divide each remainder by x, and use the law of signs in reverse order. The division will look like this:
Therefore, the result of the division is:
[tex]\frac{4x^4-3x+1}{x-5}=4x^3+17x^2+85x+425+\frac{2126}{x-5}[/tex]
