Algebra Examples

$(2 y^{4} - 3 y^{3} - 6 y^{2} - 2 y) \div (- 7 y)$

Step 1

Rewrite the division as a fraction.

$\frac{2 y^{4} - 3 y^{3} - 6 y^{2} - 2 y}{- 7 y}$

Step 2

Factor $y$ out of $2 y^{4} - 3 y^{3} - 6 y^{2} - 2 y$ .

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Step 2.1

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

$\frac{y (2 y^{3}) - 3 y^{3} - 6 y^{2} - 2 y}{- 7 y}$

Step 2.2

Factor $y$ out of $- 3 y^{3}$ .

$\frac{y (2 y^{3}) + y (- 3 y^{2}) - 6 y^{2} - 2 y}{- 7 y}$

Step 2.3

Factor $y$ out of $- 6 y^{2}$ .

$\frac{y (2 y^{3}) + y (- 3 y^{2}) + y (- 6 y) - 2 y}{- 7 y}$

Step 2.4

Factor $y$ out of $- 2 y$ .

$\frac{y (2 y^{3}) + y (- 3 y^{2}) + y (- 6 y) + y \cdot - 2}{- 7 y}$

Step 2.5

Factor $y$ out of $y (2 y^{3}) + y (- 3 y^{2})$ .

$\frac{y (2 y^{3} - 3 y^{2}) + y (- 6 y) + y \cdot - 2}{- 7 y}$

Step 2.6

Factor $y$ out of $y (2 y^{3} - 3 y^{2}) + y (- 6 y)$ .

$\frac{y (2 y^{3} - 3 y^{2} - 6 y) + y \cdot - 2}{- 7 y}$

Step 2.7

Factor $y$ out of $y (2 y^{3} - 3 y^{2} - 6 y) + y \cdot - 2$ .

$\frac{y (2 y^{3} - 3 y^{2} - 6 y - 2)}{- 7 y}$

Step 3

Cancel the common factor of $y$ .

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Step 3.1

Cancel the common factor.

$\frac{y (2 y^{3} - 3 y^{2} - 6 y - 2)}{- 7 y}$

Step 3.2

Rewrite the expression.

$\frac{2 y^{3} - 3 y^{2} - 6 y - 2}{- 7}$

Step 4

Move the negative in front of the fraction.

$- \frac{2 y^{3} - 3 y^{2} - 6 y - 2}{7}$