Basic Math Examples

$(- 5 k^{2} + k^{3} + 8 k + 4) \div (- 1 + k)$

Step 1

Rewrite the division as a fraction.

$\frac{- 5 k^{2} + k^{3} + 8 k + 4}{- 1 + k}$

Step 2

Reorder terms.

$\frac{k^{3} - 5 k^{2} + 8 k + 4}{- 1 + k}$

Step 3

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

$\frac{k^{3} - 5 k^{2} + 8 k + 4}{- 1 (1) + k}$

Step 4

Factor $- 1$ out of $k$ .

$\frac{k^{3} - 5 k^{2} + 8 k + 4}{- 1 (1) - 1 (- k)}$

Step 5

Factor $- 1$ out of $- 1 (1) - 1 (- k)$ .

$\frac{k^{3} - 5 k^{2} + 8 k + 4}{- 1 (1 - k)}$

Step 6

Move the negative in front of the fraction.

$- \frac{k^{3} - 5 k^{2} + 8 k + 4}{1 - k}$