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

Math
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.
x23×33×22x8
Divide the highest order term in the dividend 3×3 by the highest order term in divisor x.
3×2
x23×33×22x8
Multiply the new quotient term by the divisor.
3×2
x23×33×22x8
+3×36×2
The expression needs to be subtracted from the dividend, so change all the signs in 3×3-6×2
3×2
x23×33×22x8
3×3+6×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×2
x23×33×22x8
3×3+6×2
+3×2
Pull the next terms from the original dividend down into the current dividend.
3×2
x23×33×22x8
3×3+6×2
+3×22x
Divide the highest order term in the dividend 3×2 by the highest order term in divisor x.
3×2+3x
x23×33×22x8
3×3+6×2
+3×22x
Multiply the new quotient term by the divisor.
3×2+3x
x23×33×22x8
3×3+6×2
+3×22x
+3×26x
The expression needs to be subtracted from the dividend, so change all the signs in 3×2-6x
3×2+3x
x23×33×22x8
3×3+6×2
+3×22x
3×2+6x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×2+3x
x23×33×22x8
3×3+6×2
+3×22x
3×2+6x
+4x
Pull the next terms from the original dividend down into the current dividend.
3×2+3x
x23×33×22x8
3×3+6×2
+3×22x
3×2+6x
+4x8
Divide the highest order term in the dividend 4x by the highest order term in divisor x.
3×2+3x+4
x23×33×22x8
3×3+6×2
+3×22x
3×2+6x
+4x8
Multiply the new quotient term by the divisor.
3×2+3x+4
x23×33×22x8
3×3+6×2
+3×22x
3×2+6x
+4x8
+4x8
The expression needs to be subtracted from the dividend, so change all the signs in 4x-8
3×2+3x+4
x23×33×22x8
3×3+6×2
+3×22x
3×2+6x
+4x8
4x+8
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3×2+3x+4
x23×33×22x8
3×3+6×2
+3×22x
3×2+6x
+4x8
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)

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