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-15color(white)(aaaa)|2r-3

color(white)(aaaa)2r^3-3r^2color(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