Divide (15x^4-10x^3+11)/(-15x^4)

$\frac{15 x^{4} - 10 x^{3} + 11}{- 15 x^{4}}$

Step 1

Move the negative in front of the fraction.

$- \frac{15 x^{4} - 10 x^{3} + 11}{15 x^{4}}$

Step 2

Split the fraction $\frac{15 x^{4} - 10 x^{3} + 11}{15 x^{4}}$ into two fractions.

$- (\frac{15 x^{4} - 10 x^{3}}{15 x^{4}} + \frac{11}{15 x^{4}})$

Step 3

Split the fraction $\frac{15 x^{4} - 10 x^{3}}{15 x^{4}}$ into two fractions.

$- (\frac{15 x^{4}}{15 x^{4}} + \frac{- 10 x^{3}}{15 x^{4}} + \frac{11}{15 x^{4}})$

Step 4

Cancel the common factor of $15$ .

Cancel the common factor.

$- (\frac{15 x^{4}}{15 x^{4}} + \frac{- 10 x^{3}}{15 x^{4}} + \frac{11}{15 x^{4}})$

Rewrite the expression.

$- (\frac{x^{4}}{x^{4}} + \frac{- 10 x^{3}}{15 x^{4}} + \frac{11}{15 x^{4}})$

Step 5

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

Cancel the common factor.

$- (\frac{x^{4}}{x^{4}} + \frac{- 10 x^{3}}{15 x^{4}} + \frac{11}{15 x^{4}})$

Rewrite the expression.

$- (1 + \frac{- 10 x^{3}}{15 x^{4}} + \frac{11}{15 x^{4}})$

Step 6

Cancel the common factor of $- 10$ and $15$ .

Factor $5$ out of $- 10 x^{3}$ .

$- (1 + \frac{5 (- 2 x^{3})}{15 x^{4}} + \frac{11}{15 x^{4}})$

Cancel the common factors.

Factor $5$ out of $15 x^{4}$ .

$- (1 + \frac{5 (- 2 x^{3})}{5 (3 x^{4})} + \frac{11}{15 x^{4}})$

Cancel the common factor.

$- (1 + \frac{5 (- 2 x^{3})}{5 (3 x^{4})} + \frac{11}{15 x^{4}})$

Rewrite the expression.

$- (1 + \frac{- 2 x^{3}}{3 x^{4}} + \frac{11}{15 x^{4}})$

Step 7

Cancel the common factor of $x^{3}$ and $x^{4}$ .

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

$- (1 + \frac{x^{3} \cdot - 2}{3 x^{4}} + \frac{11}{15 x^{4}})$

Cancel the common factors.

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

$- (1 + \frac{x^{3} \cdot - 2}{x^{3} (3 x)} + \frac{11}{15 x^{4}})$

Cancel the common factor.

$- (1 + \frac{x^{3} \cdot - 2}{x^{3} (3 x)} + \frac{11}{15 x^{4}})$

Rewrite the expression.

$- (1 + \frac{- 2}{3 x} + \frac{11}{15 x^{4}})$

Step 8

Move the negative in front of the fraction.

$- (1 - \frac{2}{3 x} + \frac{11}{15 x^{4}})$

Divide (15x^4-10x^3+11)/(-15x^4)

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