What is the quotient of y − 5 divided by #2y^2 − 7y − 15#?

1 Answer
Mar 31, 2016

#(y-5) div (2y^2-7-15)# results in a quotient of #0# and a remainder of #(y-5)#

Explanation:

Perhaps the question should have been
#color(white)("XXX")(2y^2-7y-15) div (y-5)#

In which case:
#color(white)("XXXX")2y +3#
#y-5 ")" bar(2y^2 -7y-15)#
#color(white)("XXXx")underline(2y^2-10y)#
#color(white)("XXXXXXX")3y-15#
#color(white)("XXXXXXX")underline(3y-15)#
#color(white)("XXXXXXXXXXX")0#