Pre-Algebra Examples

$(- 7 d^{7} - d^{6} - 44 d^{5} - d^{4}) \div d^{4}$

Step 1

Rewrite the division as a fraction.

$\frac{- 7 d^{7} - d^{6} - 44 d^{5} - d^{4}}{d^{4}}$

Step 2

Factor $d^{4}$ out of $- 7 d^{7} - d^{6} - 44 d^{5} - d^{4}$ .

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Step 2.1

Factor $d^{4}$ out of $- 7 d^{7}$ .

$\frac{d^{4} (- 7 d^{3}) - d^{6} - 44 d^{5} - d^{4}}{d^{4}}$

Step 2.2

Factor $d^{4}$ out of $- d^{6}$ .

$\frac{d^{4} (- 7 d^{3}) + d^{4} (- d^{2}) - 44 d^{5} - d^{4}}{d^{4}}$

Step 2.3

Factor $d^{4}$ out of $- 44 d^{5}$ .

$\frac{d^{4} (- 7 d^{3}) + d^{4} (- d^{2}) + d^{4} (- 44 d) - d^{4}}{d^{4}}$

Step 2.4

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

$\frac{d^{4} (- 7 d^{3}) + d^{4} (- d^{2}) + d^{4} (- 44 d) + d^{4} \cdot - 1}{d^{4}}$

Step 2.5

Factor $d^{4}$ out of $d^{4} (- 7 d^{3}) + d^{4} (- d^{2})$ .

$\frac{d^{4} (- 7 d^{3} - d^{2}) + d^{4} (- 44 d) + d^{4} \cdot - 1}{d^{4}}$

Step 2.6

Factor $d^{4}$ out of $d^{4} (- 7 d^{3} - d^{2}) + d^{4} (- 44 d)$ .

$\frac{d^{4} (- 7 d^{3} - d^{2} - 44 d) + d^{4} \cdot - 1}{d^{4}}$

Step 2.7

Factor $d^{4}$ out of $d^{4} (- 7 d^{3} - d^{2} - 44 d) + d^{4} \cdot - 1$ .

$\frac{d^{4} (- 7 d^{3} - d^{2} - 44 d - 1)}{d^{4}}$

Step 3

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

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Step 3.1

Cancel the common factor.

$\frac{d^{4} (- 7 d^{3} - d^{2} - 44 d - 1)}{d^{4}}$

Step 3.2

Divide $- 7 d^{3} - d^{2} - 44 d - 1$ by $1$ .

$- 7 d^{3} - d^{2} - 44 d - 1$