Examples
Step 1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
- | - | - | + |
Step 2
Divide the highest order term in the dividend by the highest order term in divisor .
- | - | - | + |
Step 3
Multiply the new quotient term by the divisor.
- | - | - | + | ||||||||
+ | - |
Step 4
The expression needs to be subtracted from the dividend, so change all the signs in
- | - | - | + | ||||||||
- | + |
Step 5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
- | - | - | + | ||||||||
- | + | ||||||||||
+ |
Step 6
Pull the next terms from the original dividend down into the current dividend.
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - |
Step 7
Divide the highest order term in the dividend by the highest order term in divisor .
+ | |||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - |
Step 8
Multiply the new quotient term by the divisor.
+ | |||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
+ | - |
Step 9
The expression needs to be subtracted from the dividend, so change all the signs in
+ | |||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
- | + |
Step 10
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+ | |||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
- | + | ||||||||||
- |
Step 11
Pull the next terms from the original dividend down into the current dividend.
+ | |||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
- | + | ||||||||||
- | + |
Step 12
Divide the highest order term in the dividend by the highest order term in divisor .
+ | - | ||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
- | + | ||||||||||
- | + |
Step 13
Multiply the new quotient term by the divisor.
+ | - | ||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
- | + | ||||||||||
- | + | ||||||||||
- | + |
Step 14
The expression needs to be subtracted from the dividend, so change all the signs in
+ | - | ||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
- | + | ||||||||||
- | + | ||||||||||
+ | - |
Step 15
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+ | - | ||||||||||
- | - | - | + | ||||||||
- | + | ||||||||||
+ | - | ||||||||||
- | + | ||||||||||
- | + | ||||||||||
+ | - | ||||||||||
Step 16
Since the remainder is , the final answer is the quotient.