How do you find the quotient #a^2+4a-22 div a-3# using long division?

1 Answer
Mar 16, 2017

Answer:

The remainder is #=-1# and the quotient is #=a+7#

Explanation:

# color(white)(aaaaaaaaaa)##a+7#
#color(white)(aaaaaaaaaa)##-----#
#color(white)(aaaa)a-3##|##a^2+4a-22##color(white) (aaaa)##∣##color(blue)(a+7)#

#color(white)(aaaaaaaaaa)##a^2-3a##color(white)#
#color(white)(aaaaaaaaaa)##----#
#color(white)(aaaaaaaaaaaaa)##0+7a-22#

#color(white)(aaaaaaaaaaaaaaaaa)##7a-21#
#color(white)(aaaaaaaaaaaaaaaaa)##---#
#color(white)(aaaaaaaaaaaaaaaaaa)##0-1#

The remainder is #=-1# and the quotient is #=a+7#