Answer:
2x^2 -4x +5 +8/(4x -1)
Step-by-step explanation:
You want to divide 8x^3-18x^2+24x+3 by 4x-1 using polynomial long division.
Polynomial long division is similar to numerical long division, except that the quotient term is always the ratio of the leading dividend term to the leading divisor term.
As with numerical long division, the dividend at each step is reduced by the product of the quotient term and the divisor.
When the dividend is of lower degree than the divisor, the division is finished. That dividend is the remainder.
The attachment shows the division in detail. Your result is ...
q(x) +r(x)/b(x) = (2x^2-4x+5) +(8)/(4x-1)