Divide (x^4+2x^2-5)/x

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 x$ by $1$ .

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

Step 5

Move the negative in front of the fraction.

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