∵2x²-x=1,∴2x²-x-1=0
∴4x^4-4x³+3x²-x-1
=4x^4-2x³-2x²-2x³+x²+x+4x²-2x-2+1
=2x²(2x²-x-1)-X(2x²-x-1)+2(2x²-x-1)+1
=0+0+0+1
=1