Divide (4x^3-x^2+3)/x

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

Step 1

Split the fraction $\frac{4 x^{3} - x^{2} + 3}{x}$ into two fractions.

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

Step 2

Split the fraction $\frac{4 x^{3} - x^{2}}{x}$ into two fractions.

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

Step 3

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- x$ by $1$ .

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