Divide (3x^5-2x^3+5x)/(x^2)

$\frac{3 x^{5} - 2 x^{3} + 5 x}{x^{2}}$

Factor $x$ out of $3 x^{5} - 2 x^{3} + 5 x$ .

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

$\frac{x (3 x^{4}) - 2 x^{3} + 5 x}{x^{2}}$

Factor $x$ out of $- 2 x^{3}$ .

$\frac{x (3 x^{4}) + x (- 2 x^{2}) + 5 x}{x^{2}}$

Factor $x$ out of $5 x$ .

$\frac{x (3 x^{4}) + x (- 2 x^{2}) + x \cdot 5}{x^{2}}$

Factor $x$ out of $x (3 x^{4}) + x (- 2 x^{2})$ .

$\frac{x (3 x^{4} - 2 x^{2}) + x \cdot 5}{x^{2}}$

Factor $x$ out of $x (3 x^{4} - 2 x^{2}) + x \cdot 5$ .

$\frac{x (3 x^{4} - 2 x^{2} + 5)}{x^{2}}$

Cancel the common factors.

Factor $x$ out of $x^{2}$ .

$\frac{x (3 x^{4} - 2 x^{2} + 5)}{x \cdot x}$

Cancel the common factor.

$\frac{x (3 x^{4} - 2 x^{2} + 5)}{x \cdot x}$

Rewrite the expression.

$\frac{3 x^{4} - 2 x^{2} + 5}{x}$

Split the fraction $\frac{3 x^{4} - 2 x^{2} + 5}{x}$ into two fractions.

$\frac{3 x^{4} - 2 x^{2}}{x} + \frac{5}{x}$

Split the fraction $\frac{3 x^{4} - 2 x^{2}}{x}$ into two fractions.

$\frac{3 x^{4}}{x} + \frac{- 2 x^{2}}{x} + \frac{5}{x}$

Cancel the common factor of $x^{4}$ and $x$ .

Factor $x$ out of $3 x^{4}$ .

$\frac{x (3 x^{3})}{x} + \frac{- 2 x^{2}}{x} + \frac{5}{x}$

Cancel the common factors.

Raise $x$ to the power of $1$ .

$\frac{x (3 x^{3})}{x^{1}} + \frac{- 2 x^{2}}{x} + \frac{5}{x}$

Factor $x$ out of $x^{1}$ .

$\frac{x (3 x^{3})}{x \cdot 1} + \frac{- 2 x^{2}}{x} + \frac{5}{x}$

Cancel the common factor.

$\frac{x (3 x^{3})}{x \cdot 1} + \frac{- 2 x^{2}}{x} + \frac{5}{x}$

Rewrite the expression.

$\frac{3 x^{3}}{1} + \frac{- 2 x^{2}}{x} + \frac{5}{x}$

Divide $3 x^{3}$ by $1$ .

$3 x^{3} + \frac{- 2 x^{2}}{x} + \frac{5}{x}$

Cancel the common factor of $x^{2}$ and $x$ .

Factor $x$ out of $- 2 x^{2}$ .

$3 x^{3} + \frac{x (- 2 x)}{x} + \frac{5}{x}$

Cancel the common factors.

Raise $x$ to the power of $1$ .

$3 x^{3} + \frac{x (- 2 x)}{x^{1}} + \frac{5}{x}$

Factor $x$ out of $x^{1}$ .

$3 x^{3} + \frac{x (- 2 x)}{x \cdot 1} + \frac{5}{x}$

Cancel the common factor.

$3 x^{3} + \frac{x (- 2 x)}{x \cdot 1} + \frac{5}{x}$

Rewrite the expression.

$3 x^{3} + \frac{- 2 x}{1} + \frac{5}{x}$

Divide $- 2 x$ by $1$ .

$3 x^{3} - 2 x + \frac{5}{x}$

Divide (3x^5-2x^3+5x)/(x^2)

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