# Divide (3x^3-3x^2-2x-8)/(x-2)

3×3-3×2-2x-8x-2
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 x – 2 3×3 – 3×2 – 2x – 8
Divide the highest order term in the dividend 3×3 by the highest order term in divisor x.
 3×2 x – 2 3×3 – 3×2 – 2x – 8
Multiply the new quotient term by the divisor.
 3×2 x – 2 3×3 – 3×2 – 2x – 8 + 3×3 – 6×2
The expression needs to be subtracted from the dividend, so change all the signs in 3×3-6×2
 3×2 x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2
Pull the next terms from the original dividend down into the current dividend.
 3×2 x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x
Divide the highest order term in the dividend 3×2 by the highest order term in divisor x.
 3×2 + 3x x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x
Multiply the new quotient term by the divisor.
 3×2 + 3x x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x + 3×2 – 6x
The expression needs to be subtracted from the dividend, so change all the signs in 3×2-6x
 3×2 + 3x x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x – 3×2 + 6x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 + 3x x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x – 3×2 + 6x + 4x
Pull the next terms from the original dividend down into the current dividend.
 3×2 + 3x x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x – 3×2 + 6x + 4x – 8
Divide the highest order term in the dividend 4x by the highest order term in divisor x.
 3×2 + 3x + 4 x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x – 3×2 + 6x + 4x – 8
Multiply the new quotient term by the divisor.
 3×2 + 3x + 4 x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x – 3×2 + 6x + 4x – 8 + 4x – 8
The expression needs to be subtracted from the dividend, so change all the signs in 4x-8
 3×2 + 3x + 4 x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x – 3×2 + 6x + 4x – 8 – 4x + 8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 3×2 + 3x + 4 x – 2 3×3 – 3×2 – 2x – 8 – 3×3 + 6×2 + 3×2 – 2x – 3×2 + 6x + 4x – 8 – 4x + 8 0
Since the remander is 0, the final answer is the quotient.
3×2+3x+4
Divide (3x^3-3x^2-2x-8)/(x-2)

Scroll to top