Divide (6x^5-2x^4-1)/x

$\frac{6 x^{5} - 2 x^{4} - 1}{x}$

Step 1

Split the fraction $\frac{6 x^{5} - 2 x^{4} - 1}{x}$ into two fractions.

$\frac{6 x^{5} - 2 x^{4}}{x} + \frac{- 1}{x}$

Step 2

Split the fraction $\frac{6 x^{5} - 2 x^{4}}{x}$ into two fractions.

$\frac{6 x^{5}}{x} + \frac{- 2 x^{4}}{x} + \frac{- 1}{x}$

Step 3

Cancel the common factor of $x^{5}$ and $x$ .

Factor $x$ out of $6 x^{5}$ .

$\frac{x (6 x^{4})}{x} + \frac{- 2 x^{4}}{x} + \frac{- 1}{x}$

Cancel the common factors.

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

$\frac{x (6 x^{4})}{x^{1}} + \frac{- 2 x^{4}}{x} + \frac{- 1}{x}$

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

$\frac{x (6 x^{4})}{x \cdot 1} + \frac{- 2 x^{4}}{x} + \frac{- 1}{x}$

Cancel the common factor.

$\frac{x (6 x^{4})}{x \cdot 1} + \frac{- 2 x^{4}}{x} + \frac{- 1}{x}$

Rewrite the expression.

$\frac{6 x^{4}}{1} + \frac{- 2 x^{4}}{x} + \frac{- 1}{x}$

Divide $6 x^{4}$ by $1$ .

$6 x^{4} + \frac{- 2 x^{4}}{x} + \frac{- 1}{x}$

Step 4

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

Factor $x$ out of $- 2 x^{4}$ .

$6 x^{4} + \frac{x (- 2 x^{3})}{x} + \frac{- 1}{x}$

Cancel the common factors.

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

$6 x^{4} + \frac{x (- 2 x^{3})}{x^{1}} + \frac{- 1}{x}$

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

$6 x^{4} + \frac{x (- 2 x^{3})}{x \cdot 1} + \frac{- 1}{x}$

Cancel the common factor.

$6 x^{4} + \frac{x (- 2 x^{3})}{x \cdot 1} + \frac{- 1}{x}$

Rewrite the expression.

$6 x^{4} + \frac{- 2 x^{3}}{1} + \frac{- 1}{x}$

Divide $- 2 x^{3}$ by $1$ .

$6 x^{4} - 2 x^{3} + \frac{- 1}{x}$

Step 5

Move the negative in front of the fraction.

$6 x^{4} - 2 x^{3} - \frac{1}{x}$