Divide (x^4+5x^3+3x^2)/x

$\frac{x^{4} + 5 x^{3} + 3 x^{2}}{x}$

Factor $x^{2}$ out of $x^{4} + 5 x^{3} + 3 x^{2}$ .

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

$\frac{x^{2} x^{2} + 5 x^{3} + 3 x^{2}}{x}$

Factor $x^{2}$ out of $5 x^{3}$ .

$\frac{x^{2} x^{2} + x^{2} (5 x) + 3 x^{2}}{x}$

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

$\frac{x^{2} x^{2} + x^{2} (5 x) + x^{2} \cdot 3}{x}$

Factor $x^{2}$ out of $x^{2} x^{2} + x^{2} (5 x)$ .

$\frac{x^{2} (x^{2} + 5 x) + x^{2} \cdot 3}{x}$

Factor $x^{2}$ out of $x^{2} (x^{2} + 5 x) + x^{2} \cdot 3$ .

$\frac{x^{2} (x^{2} + 5 x + 3)}{x}$

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

Factor $x$ out of $x^{2} (x^{2} + 5 x + 3)$ .

$\frac{x (x (x^{2} + 5 x + 3))}{x}$

Cancel the common factors.

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

$\frac{x (x (x^{2} + 5 x + 3))}{x^{1}}$

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

$\frac{x (x (x^{2} + 5 x + 3))}{x \cdot 1}$

Cancel the common factor.

$\frac{x (x (x^{2} + 5 x + 3))}{x \cdot 1}$

Rewrite the expression.

$\frac{x (x^{2} + 5 x + 3)}{1}$

Divide $x (x^{2} + 5 x + 3)$ by $1$ .

$x (x^{2} + 5 x + 3)$

Apply the distributive property.

$x \cdot x^{2} + x (5 x) + x \cdot 3$

Simplify.

Multiply $x$ by $x^{2}$ by adding the exponents.

Multiply $x$ by $x^{2}$ .

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

$x^{1} x^{2} + x (5 x) + x \cdot 3$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{1 + 2} + x (5 x) + x \cdot 3$

Add $1$ and $2$ .

$x^{3} + x (5 x) + x \cdot 3$

Rewrite using the commutative property of multiplication.

$x^{3} + 5 x \cdot x + x \cdot 3$

Move $3$ to the left of $x$ .

$x^{3} + 5 x \cdot x + 3 \cdot x$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$x^{3} + 5 (x \cdot x) + 3 \cdot x$

Multiply $x$ by $x$ .

$x^{3} + 5 x^{2} + 3 \cdot x$

$x^{3} + 5 x^{2} + 3 x$

Divide (x^4+5x^3+3x^2)/x

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