How do you divide #(2r^3+5r^2-2r-15) div(2r-3)#?

1 Answer
Feb 15, 2017

The quotient is #=r^2+4r+5#

Explanation:

Let's do a long division

#color(white)(aaaa)##2r^3+5r^2-2r-15##color(white)(aaaa)##|##2r-3#

#color(white)(aaaa)##2r^3-3r^2##color(white)(aaaaaaaaaaaaa)##|##r^2+4r+5#

#color(white)(aaaaaa)##0+8r^2-2r#

#color(white)(aaaaaaaa)##+8r^2-12r#

#color(white)(aaaaaaaaaa)##+0+10r-15#

#color(white)(aaaaaaaaaaaaaa)##+10r-15#

#color(white)(aaaaaaaaaaaaaaaa)##+0-0#

The quotient is #=r^2+4r+5#

The remainder is #=0#