4x2-4x+3/ (2x-5) since we have 4x2/2x we know that if we multiple 2x by 2x we get 4x2 so: (2x-5)X2x= 4x2-10X we need to sub this from the 4x2-4x+3
so : 4x2-4x+3 - (4x2-10x)= 6x+3
sp now we have 6x+3/ 2x-5, if we multiply 2xX3 we get 6x so we should do this for (2x-5)x3= 6x-15
sub this from 6x+3
6x+3- (6x-15)= 18
so the quotient 2X+3, remainder is 18