m-36-m
Reorder 6 and -m.
m-3-m+6
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
| – | m | + | 6 | m | – | 3 |
Divide the highest order term in the dividend m by the highest order term in divisor -m.
| – | 1 | ||||||
| – | m | + | 6 | m | – | 3 |
Multiply the new quotient term by the divisor.
| – | 1 | ||||||
| – | m | + | 6 | m | – | 3 | |
| + | m | – | 6 |
The expression needs to be subtracted from the dividend, so change all the signs in m-6
| – | 1 | ||||||
| – | m | + | 6 | m | – | 3 | |
| – | m | + | 6 |
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
| – | 1 | ||||||
| – | m | + | 6 | m | – | 3 | |
| – | m | + | 6 | ||||
| + | 3 |
The final answer is the quotient plus the remainder over the divisor.
-1+3-m+6
Divide (m-3)/(6-m)
