Question

find the quotient when 9z cube-27 square-100z+300 divided by3z+10

Answer 1

9z³-27z²-100z+300

=(9z³+30z²)-(57z²+190z)+(90z+300)

=3z²(3z+10)-19z(3z+10)+30(3z+10)

=(3z+10)(3z²-19z+30)

=(3z+10)(3z-10)(z-3)