(4x^3-2x+6)divided by (2x-3) | (dividing polynomials)
I'm assuming you want to factor the problem as presented in the book ???
[4x2 -2x + 6] / [2x - 3 ] =
2[2x2 - x + 3] / [2x -3] ........and this is all we can do, because 2x2 - x + 3 is an irreducible polynomial.....