Divide (y^3-y^2-8y+3)÷(y+2)

Math
(y3-y2-8y+3)÷(y+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+2y3y28y+3
Divide the highest order term in the dividend y3 by the highest order term in divisor y.
y2
y+2y3y28y+3
Multiply the new quotient term by the divisor.
y2
y+2y3y28y+3
+y3+2y2
The expression needs to be subtracted from the dividend, so change all the signs in y3+2y2
y2
y+2y3y28y+3
y32y2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
y2
y+2y3y28y+3
y32y2
3y2
Pull the next terms from the original dividend down into the current dividend.
y2
y+2y3y28y+3
y32y2
3y28y
Divide the highest order term in the dividend -3y2 by the highest order term in divisor y.
y23y
y+2y3y28y+3
y32y2
3y28y
Multiply the new quotient term by the divisor.
y23y
y+2y3y28y+3
y32y2
3y28y
3y26y
The expression needs to be subtracted from the dividend, so change all the signs in -3y2-6y
y23y
y+2y3y28y+3
y32y2
3y28y
+3y2+6y
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
y23y
y+2y3y28y+3
y32y2
3y28y
+3y2+6y
2y
Pull the next terms from the original dividend down into the current dividend.
y23y
y+2y3y28y+3
y32y2
3y28y
+3y2+6y
2y+3
Divide the highest order term in the dividend -2y by the highest order term in divisor y.
y23y2
y+2y3y28y+3
y32y2
3y28y
+3y2+6y
2y+3
Multiply the new quotient term by the divisor.
y23y2
y+2y3y28y+3
y32y2
3y28y
+3y2+6y
2y+3
2y4
The expression needs to be subtracted from the dividend, so change all the signs in -2y-4
y23y2
y+2y3y28y+3
y32y2
3y28y
+3y2+6y
2y+3
+2y+4
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
y23y2
y+2y3y28y+3
y32y2
3y28y
+3y2+6y
2y+3
+2y+4
+7
The final answer is the quotient plus the remainder over the divisor.
y2-3y-2+7y+2
Divide (y^3-y^2-8y+3)÷(y+2)

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