Divide (5n^3+4n^2+2n)÷4n

$(5 n^{3} + 4 n^{2} + 2 n) \div 4 n$

Rewrite the division as a fraction.

$\frac{5 n^{3} + 4 n^{2} + 2 n}{4 n}$

Factor $n$ out of $5 n^{3} + 4 n^{2} + 2 n$ .

Factor $n$ out of $5 n^{3}$ .

$\frac{n (5 n^{2}) + 4 n^{2} + 2 n}{4 n}$

Factor $n$ out of $4 n^{2}$ .

$\frac{n (5 n^{2}) + n (4 n) + 2 n}{4 n}$

Factor $n$ out of $2 n$ .

$\frac{n (5 n^{2}) + n (4 n) + n \cdot 2}{4 n}$

Factor $n$ out of $n (5 n^{2}) + n (4 n)$ .

$\frac{n (5 n^{2} + 4 n) + n \cdot 2}{4 n}$

Factor $n$ out of $n (5 n^{2} + 4 n) + n \cdot 2$ .

$\frac{n (5 n^{2} + 4 n + 2)}{4 n}$

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n (5 n^{2} + 4 n + 2)}{4 n}$

Rewrite the expression.

$\frac{5 n^{2} + 4 n + 2}{4}$

Split the fraction $\frac{5 n^{2} + 4 n + 2}{4}$ into two fractions.

$\frac{5 n^{2} + 4 n}{4} + \frac{2}{4}$

Split the fraction $\frac{5 n^{2} + 4 n}{4}$ into two fractions.

$\frac{5 n^{2}}{4} + \frac{4 n}{4} + \frac{2}{4}$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{5 n^{2}}{4} + \frac{4 n}{4} + \frac{2}{4}$

Divide $n$ by $1$ .

$\frac{5 n^{2}}{4} + n + \frac{2}{4}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$\frac{5 n^{2}}{4} + n + \frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{5 n^{2}}{4} + n + \frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$\frac{5 n^{2}}{4} + n + \frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$\frac{5 n^{2}}{4} + n + \frac{1}{2}$