Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
– | + | – | + |
Divide the highest order term in the dividend by the highest order term in divisor .
– | + | – | + |
Multiply the new quotient term by the divisor.
– | + | – | + | ||||||||
+ | – |
The expression needs to be subtracted from the dividend, so change all the signs in
– | + | – | + | ||||||||
– | + |
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
– | + | – | + | ||||||||
– | + | ||||||||||
+ |
Pull the next terms from the original dividend down into the current dividend.
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – |
Divide the highest order term in the dividend by the highest order term in divisor .
+ | |||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – |
Multiply the new quotient term by the divisor.
+ | |||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
+ | – |
The expression needs to be subtracted from the dividend, so change all the signs in
+ | |||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
– | + |
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+ | |||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
– | + | ||||||||||
– |
Pull the next terms from the original dividend down into the current dividend.
+ | |||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
– | + | ||||||||||
– | + |
Divide the highest order term in the dividend by the highest order term in divisor .
+ | – | ||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
– | + | ||||||||||
– | + |
Multiply the new quotient term by the divisor.
+ | – | ||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
– | + | ||||||||||
– | + | ||||||||||
– | + |
The expression needs to be subtracted from the dividend, so change all the signs in
+ | – | ||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
– | + | ||||||||||
– | + | ||||||||||
+ | – |
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+ | – | ||||||||||
– | + | – | + | ||||||||
– | + | ||||||||||
+ | – | ||||||||||
– | + | ||||||||||
– | + | ||||||||||
+ | – | ||||||||||
– |
The final answer is the quotient plus the remainder over the divisor.
Divide Using Long Polynomial Division (2x^3+9x^2-11x)/(2x-1)