Divide (8x^3-x^2+2x-1)/(2x)

$\frac{8 x^{3} - x^{2} + 2 x - 1}{2 x}$

Split the fraction $\frac{8 x^{3} - x^{2} + 2 x - 1}{2 x}$ into two fractions.

$\frac{8 x^{3} - x^{2} + 2 x}{2 x} + \frac{- 1}{2 x}$

Split the fraction $\frac{8 x^{3} - x^{2} + 2 x}{2 x}$ into two fractions.

$\frac{8 x^{3} - x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Split the fraction $\frac{8 x^{3} - x^{2}}{2 x}$ into two fractions.

$\frac{8 x^{3}}{2 x} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 x^{3}$ .

$\frac{2 (4 x^{3})}{2 x} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factors.

Factor $2$ out of $2 x$ .

$\frac{2 (4 x^{3})}{2 (x)} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factor.

$\frac{2 (4 x^{3})}{2 x} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Rewrite the expression.

$\frac{4 x^{3}}{x} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factor of $x^{3}$ and $x$ .

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

$\frac{x (4 x^{2})}{x} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factors.

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

$\frac{x (4 x^{2})}{x^{1}} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

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

$\frac{x (4 x^{2})}{x \cdot 1} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factor.

$\frac{x (4 x^{2})}{x \cdot 1} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Rewrite the expression.

$\frac{4 x^{2}}{1} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Divide $4 x^{2}$ by $1$ .

$4 x^{2} + \frac{- x^{2}}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

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

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

$4 x^{2} + \frac{x (- x)}{2 x} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factors.

Factor $x$ out of $2 x$ .

$4 x^{2} + \frac{x (- x)}{x \cdot 2} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factor.

$4 x^{2} + \frac{x (- x)}{x \cdot 2} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Rewrite the expression.

$4 x^{2} + \frac{- x}{2} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Move the negative in front of the fraction.

$4 x^{2} - \frac{x}{2} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Cancel the common factor of $2$ .

Cancel the common factor.

$4 x^{2} - \frac{x}{2} + \frac{2 x}{2 x} + \frac{- 1}{2 x}$

Rewrite the expression.

$4 x^{2} - \frac{x}{2} + \frac{x}{x} + \frac{- 1}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$4 x^{2} - \frac{x}{2} + \frac{x}{x} + \frac{- 1}{2 x}$

Rewrite the expression.

$4 x^{2} - \frac{x}{2} + 1 + \frac{- 1}{2 x}$

Move the negative in front of the fraction.

$4 x^{2} - \frac{x}{2} + 1 - \frac{1}{2 x}$

Divide (8x^3-x^2+2x-1)/(2x)

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