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