How do you find the quotient #(6t^3-9t^2+6)div(2t-3)# using long division?

1 Answer
May 31, 2017

Answer:

The quotient is #=3t^2# and the remainder #=6#

Explanation:

We perform a long division

#color(white)(aaaa)##2t-3##color(white)(aaaa)##|##6t^3-9t^2+0t+6##color(white)(aaaa)##|##3t^2#

#color(white)(aaaaaaaaaaaaaaa)##6t^3-9t^2#

#color(white)(aaaaaaaaaaaaaaaaaa)##0-0+0t+6#

#color(white)(aaaaaaaaaaaaaaaaaaaaaaaaaaaa)##+6#

The quotient is #=3t^2# and the remainder #=6#

#(6t^3-9t^2+6)/(2t-3)=3t^2+6/(2t-3)#