Divide (9x^3-33x^2-272x-320)/(x+1)

Math
9×3-33×2-272x-320x+1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
x+19×333×2272x320
Divide the highest order term in the dividend 9×3 by the highest order term in divisor x.
9×2
x+19×333×2272x320
Multiply the new quotient term by the divisor.
9×2
x+19×333×2272x320
+9×3+9×2
The expression needs to be subtracted from the dividend, so change all the signs in 9×3+9×2
9×2
x+19×333×2272x320
9×39×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
9×2
x+19×333×2272x320
9×39×2
42×2
Pull the next terms from the original dividend down into the current dividend.
9×2
x+19×333×2272x320
9×39×2
42×2272x
Divide the highest order term in the dividend -42×2 by the highest order term in divisor x.
9×242x
x+19×333×2272x320
9×39×2
42×2272x
Multiply the new quotient term by the divisor.
9×242x
x+19×333×2272x320
9×39×2
42×2272x
42×242x
The expression needs to be subtracted from the dividend, so change all the signs in -42×2-42x
9×242x
x+19×333×2272x320
9×39×2
42×2272x
+42×2+42x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
9×242x
x+19×333×2272x320
9×39×2
42×2272x
+42×2+42x
230x
Pull the next terms from the original dividend down into the current dividend.
9×242x
x+19×333×2272x320
9×39×2
42×2272x
+42×2+42x
230x320
Divide the highest order term in the dividend -230x by the highest order term in divisor x.
9×242x230
x+19×333×2272x320
9×39×2
42×2272x
+42×2+42x
230x320
Multiply the new quotient term by the divisor.
9×242x230
x+19×333×2272x320
9×39×2
42×2272x
+42×2+42x
230x320
230x230
The expression needs to be subtracted from the dividend, so change all the signs in -230x-230
9×242x230
x+19×333×2272x320
9×39×2
42×2272x
+42×2+42x
230x320
+230x+230
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
9×242x230
x+19×333×2272x320
9×39×2
42×2272x
+42×2+42x
230x320
+230x+230
90
The final answer is the quotient plus the remainder over the divisor.
9×2-42x-230-90x+1
Divide (9x^3-33x^2-272x-320)/(x+1)

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