# Divide (3y^3-y+4)/(y-2) 3y3-y+4y-2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 y – 2 3y3 + 0y2 – y + 4
Divide the highest order term in the dividend 3y3 by the highest order term in divisor y.
 3y2 y – 2 3y3 + 0y2 – y + 4
Multiply the new quotient term by the divisor.
 3y2 y – 2 3y3 + 0y2 – y + 4 + 3y3 – 6y2
The expression needs to be subtracted from the dividend, so change all the signs in 3y3-6y2
 3y2 y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3y2 y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2
Pull the next terms from the original dividend down into the current dividend.
 3y2 y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y
Divide the highest order term in the dividend 6y2 by the highest order term in divisor y.
 3y2 + 6y y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y
Multiply the new quotient term by the divisor.
 3y2 + 6y y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y + 6y2 – 12y
The expression needs to be subtracted from the dividend, so change all the signs in 6y2-12y
 3y2 + 6y y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y – 6y2 + 12y
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3y2 + 6y y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y – 6y2 + 12y + 11y
Pull the next terms from the original dividend down into the current dividend.
 3y2 + 6y y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y – 6y2 + 12y + 11y + 4
Divide the highest order term in the dividend 11y by the highest order term in divisor y.
 3y2 + 6y + 11 y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y – 6y2 + 12y + 11y + 4
Multiply the new quotient term by the divisor.
 3y2 + 6y + 11 y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y – 6y2 + 12y + 11y + 4 + 11y – 22
The expression needs to be subtracted from the dividend, so change all the signs in 11y-22
 3y2 + 6y + 11 y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y – 6y2 + 12y + 11y + 4 – 11y + 22
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3y2 + 6y + 11 y – 2 3y3 + 0y2 – y + 4 – 3y3 + 6y2 + 6y2 – y – 6y2 + 12y + 11y + 4 – 11y + 22 + 26
The final answer is the quotient plus the remainder over the divisor.
3y2+6y+11+26y-2
Divide (3y^3-y+4)/(y-2)   ## Download our App from the store

### Create a High Performed UI/UX Design from a Silicon Valley.  Scroll to top