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

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 + 1 9×3 – 33×2 – 272x – 320
Divide the highest order term in the dividend 9×3 by the highest order term in divisor x.
 9×2 x + 1 9×3 – 33×2 – 272x – 320
Multiply the new quotient term by the divisor.
 9×2 x + 1 9×3 – 33×2 – 272x – 320 + 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 + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 9×2 x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2
Pull the next terms from the original dividend down into the current dividend.
 9×2 x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x
Divide the highest order term in the dividend -42×2 by the highest order term in divisor x.
 9×2 – 42x x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x
Multiply the new quotient term by the divisor.
 9×2 – 42x x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x – 42×2 – 42x
The expression needs to be subtracted from the dividend, so change all the signs in -42×2-42x
 9×2 – 42x x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x + 42×2 + 42x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 9×2 – 42x x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x + 42×2 + 42x – 230x
Pull the next terms from the original dividend down into the current dividend.
 9×2 – 42x x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x + 42×2 + 42x – 230x – 320
Divide the highest order term in the dividend -230x by the highest order term in divisor x.
 9×2 – 42x – 230 x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x + 42×2 + 42x – 230x – 320
Multiply the new quotient term by the divisor.
 9×2 – 42x – 230 x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x + 42×2 + 42x – 230x – 320 – 230x – 230
The expression needs to be subtracted from the dividend, so change all the signs in -230x-230
 9×2 – 42x – 230 x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x + 42×2 + 42x – 230x – 320 + 230x + 230
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 9×2 – 42x – 230 x + 1 9×3 – 33×2 – 272x – 320 – 9×3 – 9×2 – 42×2 – 272x + 42×2 + 42x – 230x – 320 + 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)