How do you divide (2r^3+5r^2-2r-15) div(2r-3)(2r3+5r22r15)÷(2r3)?

1 Answer
Feb 15, 2017

The quotient is =r^2+4r+5=r2+4r+5

Explanation:

Let's do a long division

color(white)(aaaa)aaaa2r^3+5r^2-2r-152r3+5r22r15color(white)(aaaa)aaaa|2r-32r3

color(white)(aaaa)aaaa2r^3-3r^22r33r2color(white)(aaaaaaaaaaaaa)aaaaaaaaaaaaa|r^2+4r+5r2+4r+5

color(white)(aaaaaa)aaaaaa0+8r^2-2r0+8r22r

color(white)(aaaaaaaa)aaaaaaaa+8r^2-12r+8r212r

color(white)(aaaaaaaaaa)aaaaaaaaaa+0+10r-15+0+10r15

color(white)(aaaaaaaaaaaaaa)aaaaaaaaaaaaaa+10r-15+10r15

color(white)(aaaaaaaaaaaaaaaa)aaaaaaaaaaaaaaaa+0-0+00

The quotient is =r^2+4r+5=r2+4r+5

The remainder is =0=0