Divide (11x^5+7x^3-2x)/(x^2)

$\frac{11 x^{5} + 7 x^{3} - 2 x}{x^{2}}$

Step 1

Factor $x$ out of $11 x^{5} + 7 x^{3} - 2 x$ .

Factor $x$ out of $11 x^{5}$ .

$\frac{x (11 x^{4}) + 7 x^{3} - 2 x}{x^{2}}$

Factor $x$ out of $7 x^{3}$ .

$\frac{x (11 x^{4}) + x (7 x^{2}) - 2 x}{x^{2}}$

Factor $x$ out of $- 2 x$ .

$\frac{x (11 x^{4}) + x (7 x^{2}) + x \cdot - 2}{x^{2}}$

Factor $x$ out of $x (11 x^{4}) + x (7 x^{2})$ .

$\frac{x (11 x^{4} + 7 x^{2}) + x \cdot - 2}{x^{2}}$

Factor $x$ out of $x (11 x^{4} + 7 x^{2}) + x \cdot - 2$ .

$\frac{x (11 x^{4} + 7 x^{2} - 2)}{x^{2}}$

Step 2

Cancel the common factors.

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

$\frac{x (11 x^{4} + 7 x^{2} - 2)}{x \cdot x}$

Cancel the common factor.

$\frac{x (11 x^{4} + 7 x^{2} - 2)}{x \cdot x}$

Rewrite the expression.

$\frac{11 x^{4} + 7 x^{2} - 2}{x}$

Step 3

Split the fraction $\frac{11 x^{4} + 7 x^{2} - 2}{x}$ into two fractions.

$\frac{11 x^{4} + 7 x^{2}}{x} + \frac{- 2}{x}$

Step 4

Split the fraction $\frac{11 x^{4} + 7 x^{2}}{x}$ into two fractions.

$\frac{11 x^{4}}{x} + \frac{7 x^{2}}{x} + \frac{- 2}{x}$

Step 5

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

Factor $x$ out of $11 x^{4}$ .

$\frac{x (11 x^{3})}{x} + \frac{7 x^{2}}{x} + \frac{- 2}{x}$

Cancel the common factors.

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

$\frac{x (11 x^{3})}{x^{1}} + \frac{7 x^{2}}{x} + \frac{- 2}{x}$

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

$\frac{x (11 x^{3})}{x \cdot 1} + \frac{7 x^{2}}{x} + \frac{- 2}{x}$

Cancel the common factor.

$\frac{x (11 x^{3})}{x \cdot 1} + \frac{7 x^{2}}{x} + \frac{- 2}{x}$

Rewrite the expression.

$\frac{11 x^{3}}{1} + \frac{7 x^{2}}{x} + \frac{- 2}{x}$

Divide $11 x^{3}$ by $1$ .

$11 x^{3} + \frac{7 x^{2}}{x} + \frac{- 2}{x}$

Step 6

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

Factor $x$ out of $7 x^{2}$ .

$11 x^{3} + \frac{x (7 x)}{x} + \frac{- 2}{x}$

Cancel the common factors.

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

$11 x^{3} + \frac{x (7 x)}{x^{1}} + \frac{- 2}{x}$

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

$11 x^{3} + \frac{x (7 x)}{x \cdot 1} + \frac{- 2}{x}$

Cancel the common factor.

$11 x^{3} + \frac{x (7 x)}{x \cdot 1} + \frac{- 2}{x}$

Rewrite the expression.

$11 x^{3} + \frac{7 x}{1} + \frac{- 2}{x}$

Divide $7 x$ by $1$ .

$11 x^{3} + 7 x + \frac{- 2}{x}$

Step 7

Move the negative in front of the fraction.

$11 x^{3} + 7 x - \frac{2}{x}$

Divide (11x^5+7x^3-2x)/(x^2)

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