Divide (x^3+6x-1)/(-3x)

$\frac{x^{3} + 6 x - 1}{- 3 x}$

Step 1

Move the negative in front of the fraction.

$- \frac{x^{3} + 6 x - 1}{3 x}$

Step 2

Split the fraction $\frac{x^{3} + 6 x - 1}{3 x}$ into two fractions.

$- (\frac{x^{3} + 6 x}{3 x} + \frac{- 1}{3 x})$

Step 3

Split the fraction $\frac{x^{3} + 6 x}{3 x}$ into two fractions.

$- (\frac{x^{3}}{3 x} + \frac{6 x}{3 x} + \frac{- 1}{3 x})$

Step 4

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

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

$- (\frac{x \cdot x^{2}}{3 x} + \frac{6 x}{3 x} + \frac{- 1}{3 x})$

Cancel the common factors.

Factor $x$ out of $3 x$ .

$- (\frac{x \cdot x^{2}}{x \cdot 3} + \frac{6 x}{3 x} + \frac{- 1}{3 x})$

Cancel the common factor.

$- (\frac{x \cdot x^{2}}{x \cdot 3} + \frac{6 x}{3 x} + \frac{- 1}{3 x})$

Rewrite the expression.

$- (\frac{x^{2}}{3} + \frac{6 x}{3 x} + \frac{- 1}{3 x})$

Step 5

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $6 x$ .

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

Cancel the common factors.

Factor $3$ out of $3 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 6

Cancel the common factor of $x$ .

Cancel the common factor.

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

Divide $2$ by $1$ .

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

Step 7

Move the negative in front of the fraction.

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