( 1/2x + 3 ) ( 2x^3 - 6x^2 + 4x + 10 )
=($\frac{x}{2}$ + 3)(2x³-6x²+4x+10)
=$\frac{3x+18}{6}$ . (2x³-6x²+4x+10)
=$\frac{6x^4-18x^3+12^2+30x+36x^3-108x^2+72x+180}{6}$
=$\frac{6x^4+18x^3-96x^2+102x+180}{6}$
=$\frac{6.(x^4+3x^3-16x^2+17x+30}{6}$
=$x^{4}$+3x³-16x²+17x+30