Answer
The answer is $5n^2-4n+1$.
Work Step by Step
$(25n^3-11n+4) \div (5n-4)$
$5n^2-4n+1$
_________________________
$5n+4) 25n^3 -11n +4$
$25n^3+20n^2$
_________________________
$-20n^2-11n+4 $
$-20n^2-16n $
_________________________
$5n+4$
$5n+4$
_________________________
$0$
The answer is $5n^2-4n+1$.