You can put this solution on YOUR website! (3x^4+(5/2)x^3+2x^2+3x)/(x-2)
------
Using synthetic division:
2)....3....(5/2)....2....3....0
.......3....(17/2)...19...41..|..82
Quotient: 3x^3+(17/2)x^2+19x+41
Remainder:82
--------------------
Cheers,
Stan H.