Divide (-20x^6-24x^4-12x^2)/(-4x^4)

$\frac{- 20 x^{6} - 24 x^{4} - 12 x^{2}}{- 4 x^{4}}$

Step 1

Factor $4 x^{2}$ out of $- 20 x^{6} - 24 x^{4} - 12 x^{2}$ .

Factor $4 x^{2}$ out of $- 20 x^{6}$ .

$\frac{4 x^{2} (- 5 x^{4}) - 24 x^{4} - 12 x^{2}}{- 4 x^{4}}$

Factor $4 x^{2}$ out of $- 24 x^{4}$ .

$\frac{4 x^{2} (- 5 x^{4}) + 4 x^{2} (- 6 x^{2}) - 12 x^{2}}{- 4 x^{4}}$

Factor $4 x^{2}$ out of $- 12 x^{2}$ .

$\frac{4 x^{2} (- 5 x^{4}) + 4 x^{2} (- 6 x^{2}) + 4 x^{2} (- 3)}{- 4 x^{4}}$

Factor $4 x^{2}$ out of $4 x^{2} (- 5 x^{4}) + 4 x^{2} (- 6 x^{2})$ .

$\frac{4 x^{2} (- 5 x^{4} - 6 x^{2}) + 4 x^{2} (- 3)}{- 4 x^{4}}$

Factor $4 x^{2}$ out of $4 x^{2} (- 5 x^{4} - 6 x^{2}) + 4 x^{2} (- 3)$ .

$\frac{4 x^{2} (- 5 x^{4} - 6 x^{2} - 3)}{- 4 x^{4}}$

Step 2

Cancel the common factor of $4$ and $- 4$ .

Factor $4$ out of $4 x^{2} (- 5 x^{4} - 6 x^{2} - 3)$ .

$\frac{4 (x^{2} (- 5 x^{4} - 6 x^{2} - 3))}{- 4 x^{4}}$

Cancel the common factors.

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

$\frac{4 (x^{2} (- 5 x^{4} - 6 x^{2} - 3))}{4 (- x^{4})}$

Cancel the common factor.

$\frac{4 (x^{2} (- 5 x^{4} - 6 x^{2} - 3))}{4 (- x^{4})}$

Rewrite the expression.

$\frac{x^{2} (- 5 x^{4} - 6 x^{2} - 3)}{- x^{4}}$

Step 3

Cancel the common factors.

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

$\frac{x^{2} (- 5 x^{4} - 6 x^{2} - 3)}{x^{2} (- x^{2})}$

Cancel the common factor.

$\frac{x^{2} (- 5 x^{4} - 6 x^{2} - 3)}{x^{2} (- x^{2})}$

Rewrite the expression.

$\frac{- 5 x^{4} - 6 x^{2} - 3}{- x^{2}}$

Step 4

Move the negative in front of the fraction.

$- \frac{- 5 x^{4} - 6 x^{2} - 3}{x^{2}}$

Step 5

Factor $- 1$ out of $- 5 x^{4}$ .

$- \frac{- (5 x^{4}) - 6 x^{2} - 3}{x^{2}}$

Step 6

Factor $- 1$ out of $- 6 x^{2}$ .

$- \frac{- (5 x^{4}) - (6 x^{2}) - 3}{x^{2}}$

Step 7

Factor $- 1$ out of $- (5 x^{4}) - (6 x^{2})$ .

$- \frac{- (5 x^{4} + 6 x^{2}) - 3}{x^{2}}$

Step 8

Rewrite $- 3$ as $- 1 (3)$ .

$- \frac{- (5 x^{4} + 6 x^{2}) - 1 (3)}{x^{2}}$

Step 9

Factor $- 1$ out of $- (5 x^{4} + 6 x^{2}) - 1 (3)$ .

$- \frac{- (5 x^{4} + 6 x^{2} + 3)}{x^{2}}$

Step 10

Rewrite $- (5 x^{4} + 6 x^{2} + 3)$ as $- 1 (5 x^{4} + 6 x^{2} + 3)$ .

$- \frac{- 1 (5 x^{4} + 6 x^{2} + 3)}{x^{2}}$

Step 11

Move the negative in front of the fraction.

$- - \frac{5 x^{4} + 6 x^{2} + 3}{x^{2}}$

Step 12

Multiply $- 1$ by $- 1$ .

$1 \frac{5 x^{4} + 6 x^{2} + 3}{x^{2}}$

Step 13

Multiply $\frac{5 x^{4} + 6 x^{2} + 3}{x^{2}}$ by $1$ .

$\frac{5 x^{4} + 6 x^{2} + 3}{x^{2}}$

Step 14

Split the fraction $\frac{5 x^{4} + 6 x^{2} + 3}{x^{2}}$ into two fractions.

$\frac{5 x^{4} + 6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Step 15

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

$\frac{5 x^{4}}{x^{2}} + \frac{6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Step 16

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

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

$\frac{x^{2} (5 x^{2})}{x^{2}} + \frac{6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{2} (5 x^{2})}{x^{2} \cdot 1} + \frac{6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Cancel the common factor.

$\frac{x^{2} (5 x^{2})}{x^{2} \cdot 1} + \frac{6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Rewrite the expression.

$\frac{5 x^{2}}{1} + \frac{6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Divide $5 x^{2}$ by $1$ .

$5 x^{2} + \frac{6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Step 17

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

Cancel the common factor.

$5 x^{2} + \frac{6 x^{2}}{x^{2}} + \frac{3}{x^{2}}$

Divide $6$ by $1$ .

$5 x^{2} + 6 + \frac{3}{x^{2}}$

Divide (-20x^6-24x^4-12x^2)/(-4x^4)

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