9514 1404 393
Answer:
3x^2 -4x -4 +1/(2x -1)
Step-by-step explanation:
Polynomial long division is performed virtually the same way numerical long division is performed. Each quotient term is simply and completely the ratio of the leading dividend term to the leading divisor term. The product of that quotient term and the divisor is subtracted from the dividend to get the new dividend. When the new dividend has a degree less than that of the divisor, then the exercise is finished, and the remaining dividend is the remainder.
The details are shown in the attachment. The quotient is ...
3x^2 -4x -4 +1/(2x -1)
