# Divide (8x+7)/(9x-8)

8x+79x-8
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
 9x – 8 8x + 7
Divide the highest order term in the dividend 8x by the highest order term in divisor 9x.
 89 9x – 8 8x + 7
Multiply the new quotient term by the divisor.
 89 9x – 8 8x + 7 + 8x – 649
The expression needs to be subtracted from the dividend, so change all the signs in 8x-649
 89 9x – 8 8x + 7 – 8x + 649
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 89 9x – 8 8x + 7 – 8x + 649 + 1279
The final answer is the quotient plus the remainder over the divisor.
89+1279(9x-8)
Divide (8x+7)/(9x-8)