# Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Lesson Check - Page 681: 3

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 $5n^2-4n+1$.

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