Divide (-x^6+x^5+7x^2-9)÷(x^4)

$(- x^{6} + x^{5} + 7 x^{2} - 9) \div x^{4}$

Rewrite the division as a fraction.

$\frac{- x^{6} + x^{5} + 7 x^{2} - 9}{x^{4}}$

Factor $- 1$ out of $- x^{6}$ .

$\frac{- (x^{6}) + x^{5} + 7 x^{2} - 9}{x^{4}}$

Factor $- 1$ out of $x^{5}$ .

$\frac{- (x^{6}) - 1 (- x^{5}) + 7 x^{2} - 9}{x^{4}}$

Factor $- 1$ out of $- (x^{6}) - 1 (- x^{5})$ .

$\frac{- (x^{6} - x^{5}) + 7 x^{2} - 9}{x^{4}}$

Factor $- 1$ out of $7 x^{2}$ .

$\frac{- (x^{6} - x^{5}) - (- 7 x^{2}) - 9}{x^{4}}$

Factor $- 1$ out of $- (x^{6} - x^{5}) - (- 7 x^{2})$ .

$\frac{- (x^{6} - x^{5} - 7 x^{2}) - 9}{x^{4}}$

Rewrite $- 9$ as $- 1 (9)$ .

$\frac{- (x^{6} - x^{5} - 7 x^{2}) - 1 (9)}{x^{4}}$

Factor $- 1$ out of $- (x^{6} - x^{5} - 7 x^{2}) - 1 (9)$ .

$\frac{- (x^{6} - x^{5} - 7 x^{2} + 9)}{x^{4}}$

Rewrite $- (x^{6} - x^{5} - 7 x^{2} + 9)$ as $- 1 (x^{6} - x^{5} - 7 x^{2} + 9)$ .

$\frac{- 1 (x^{6} - x^{5} - 7 x^{2} + 9)}{x^{4}}$

Move the negative in front of the fraction.

$- \frac{x^{6} - x^{5} - 7 x^{2} + 9}{x^{4}}$

Split the fraction $\frac{x^{6} - x^{5} - 7 x^{2} + 9}{x^{4}}$ into two fractions.

$- (\frac{x^{6} - x^{5} - 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Split the fraction $\frac{x^{6} - x^{5} - 7 x^{2}}{x^{4}}$ into two fractions.

$- (\frac{x^{6} - x^{5}}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

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

$- (\frac{x^{6}}{x^{4}} + \frac{- x^{5}}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factor of $x^{6}$ and $x^{4}$ .

Factor $x^{4}$ out of $x^{6}$ .

$- (\frac{x^{4} x^{2}}{x^{4}} + \frac{- x^{5}}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factors.

Multiply by $1$ .

$- (\frac{x^{4} x^{2}}{x^{4} \cdot 1} + \frac{- x^{5}}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factor.

$- (\frac{x^{4} x^{2}}{x^{4} \cdot 1} + \frac{- x^{5}}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Rewrite the expression.

$- (\frac{x^{2}}{1} + \frac{- x^{5}}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

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

$- (x^{2} + \frac{- x^{5}}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factor of $x^{5}$ and $x^{4}$ .

Factor $x^{4}$ out of $- x^{5}$ .

$- (x^{2} + \frac{x^{4} (- x)}{x^{4}} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factors.

Multiply by $1$ .

$- (x^{2} + \frac{x^{4} (- x)}{x^{4} \cdot 1} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factor.

$- (x^{2} + \frac{x^{4} (- x)}{x^{4} \cdot 1} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Rewrite the expression.

$- (x^{2} + \frac{- x}{1} + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Divide $- x$ by $1$ .

$- (x^{2} - x + \frac{- 7 x^{2}}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factor of $x^{2}$ and $x^{4}$ .

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

$- (x^{2} - x + \frac{x^{2} \cdot - 7}{x^{4}} + \frac{9}{x^{4}})$

Cancel the common factors.

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

$- (x^{2} - x + \frac{x^{2} \cdot - 7}{x^{2} x^{2}} + \frac{9}{x^{4}})$

Cancel the common factor.

$- (x^{2} - x + \frac{x^{2} \cdot - 7}{x^{2} x^{2}} + \frac{9}{x^{4}})$

Rewrite the expression.

$- (x^{2} - x + \frac{- 7}{x^{2}} + \frac{9}{x^{4}})$

Move the negative in front of the fraction.

$- (x^{2} - x - \frac{7}{x^{2}} + \frac{9}{x^{4}})$

Divide (-x^6+x^5+7x^2-9)÷(x^4)

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